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	<title>Documentation/4.8/Modules/MRI SNR Measurement - Revision history</title>
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	<updated>2026-05-04T16:10:54Z</updated>
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		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57660&amp;oldid=prev</id>
		<title>Tokuda at 19:44, 9 January 2018</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57660&amp;oldid=prev"/>
		<updated>2018-01-09T19:44:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 19:44, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l37&quot; &gt;Line 37:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 37:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;nema2008&amp;quot; &amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Kellman-2005&amp;quot; &amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Constantinides-1997&amp;quot;&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise measurements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method &amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref name=&amp;quot;Constantinides-1997&amp;quot; /&amp;gt;&amp;lt;ref name=&amp;quot;Kellman-2005&amp;quot; /&amp;gt;. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement &amp;lt;ref name=&amp;quot;Kellman-2005&amp;quot; /&amp;gt;. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;nema2008&amp;quot; &amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Kellman-2005&amp;quot; &amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Constantinides-1997&amp;quot;&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise measurements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method &amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref name=&amp;quot;Constantinides-1997&amp;quot; /&amp;gt;&amp;lt;ref name=&amp;quot;Kellman-2005&amp;quot; /&amp;gt;. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement &amp;lt;ref name=&amp;quot;Kellman-2005&amp;quot; /&amp;gt;. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l70&quot; &gt;Line 70:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 69:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- ---------------------------- --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- ---------------------------- --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|References}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|References}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;N&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;A&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;references &lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- ---------------------------- --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- ---------------------------- --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57657&amp;oldid=prev</id>
		<title>Tokuda at 19:42, 9 January 2018</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57657&amp;oldid=prev"/>
		<updated>2018-01-09T19:42:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 19:42, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l35&quot; &gt;Line 35:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 35:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;nema2008&amp;quot; &amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mea- surements &lt;/del&gt;in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[NEMA-2008, &lt;/del&gt;Constantinides-1997&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/del&gt;Kellman-2005&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/del&gt;. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[&lt;/del&gt;Kellman-2005&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/del&gt;. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;nema2008&amp;quot; &amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;name=&amp;quot;Kellman-2005&amp;quot; &lt;/ins&gt;&amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;name=&amp;quot;Constantinides-1997&amp;quot;&lt;/ins&gt;&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;measurements &lt;/ins&gt;in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref name=&amp;quot;&lt;/ins&gt;Constantinides-1997&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot; /&amp;gt;&amp;lt;ref name=&amp;quot;&lt;/ins&gt;Kellman-2005&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot; /&amp;gt;&lt;/ins&gt;. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;ref name=&amp;quot;&lt;/ins&gt;Kellman-2005&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot; /&amp;gt;&lt;/ins&gt;. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &amp;lt;ref name=&amp;quot;nema2008&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57654&amp;oldid=prev</id>
		<title>Tokuda at 19:39, 9 January 2018</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57654&amp;oldid=prev"/>
		<updated>2018-01-09T19:39:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 19:39, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l35&quot; &gt;Line 35:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 35:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;NEMA2008&lt;/del&gt;&amp;quot;&amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &amp;lt;ref &amp;quot;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;NEMA2008&lt;/del&gt;&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;nema2008&lt;/ins&gt;&amp;quot; &amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &amp;lt;ref &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;name=&lt;/ins&gt;&amp;quot;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;nema2008&lt;/ins&gt;&amp;quot; /&amp;gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57651&amp;oldid=prev</id>
		<title>Tokuda at 19:16, 9 January 2018</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57651&amp;oldid=prev"/>
		<updated>2018-01-09T19:16:41Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 19:16, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l35&quot; &gt;Line 35:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 35:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[NEMA-2008]&lt;/del&gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;name=&amp;quot;NEMA2008&amp;quot;&lt;/ins&gt;&amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is known that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &amp;lt;ref&amp;gt;Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&amp;lt;/ref&amp;gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundred, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating a pixel-by-pixel difference between two images acquired under exactly the same conditions &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;ref &amp;quot;NEMA2008&amp;quot; /&amp;gt;&lt;/ins&gt;&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&amp;lt;/ref&amp;gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with a standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57648&amp;oldid=prev</id>
		<title>Tokuda at 19:14, 9 January 2018</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57648&amp;oldid=prev"/>
		<updated>2018-01-09T19:14:40Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 19:14, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l35&quot; &gt;Line 35:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 35:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;know &lt;/del&gt;that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[&lt;/del&gt;Reeder-2005, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Kellman&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;2005&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Constantinides&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;2004&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Dietrich&lt;/del&gt;-2007&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/del&gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hundreds&lt;/del&gt;, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating pixel-by-pixel difference between two images acquired under exactly the same conditions [NEMA-2008, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Murphy&lt;/del&gt;-1993, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Firbank&lt;/del&gt;-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;1999]&lt;/del&gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &amp;lt;ref&amp;gt; Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;known &lt;/ins&gt;that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;ref&amp;gt;&lt;/ins&gt;Reeder &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;SB, Wintersperger BJ, Dietrich O, et al. Practical approaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32&lt;/ins&gt;- &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;channel cardiac coil. Magn Reson Med &lt;/ins&gt;2005&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;;54:748-754.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Kellman P&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;1447.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Constantinides CD, Atalar E&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;857.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Dietrich O, Raya JG, Reeder SB&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Reiser MF, Schoenberg SO. Measurement of signal-to&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. &lt;/ins&gt;2007 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Aug;26(2):375-85.&amp;lt;/ref&amp;gt;&lt;/ins&gt;. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;hundred&lt;/ins&gt;, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a &lt;/ins&gt;pixel-by-pixel difference between two images acquired under exactly the same conditions [NEMA-2008&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]&amp;lt;ref&amp;gt;Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Chenevert TL. Signal-to&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;noise measures for magnetic resonance imagers. Magn Reson Imaging &lt;/ins&gt;1993&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;;11:425-428.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Firbank MJ, Coulthard A, Harrison RM&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;N264.&amp;lt;/ref&amp;gt;&lt;/ins&gt;. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;a &lt;/ins&gt;standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;references /&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Reeder-2005] Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical ap- proaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Kellman-2005] Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Constantinides-2004] Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857 (Erratum in: Magn Reson Med 2004; 52:219).&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Dietrich-2007] Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Murphy-1993] Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Firbank-1999] Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Constantinides-1997] Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise measure- ments in magnitude images from NMR phased arrays. [Published erra- tum in: Magn Reson Med. 2004 Jul;52:219]. Magn Reson Med 1997;38: 852-857.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- ---------------------------- --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;!-- ---------------------------- --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57639&amp;oldid=prev</id>
		<title>Tokuda at 17:00, 9 January 2018</title>
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		<updated>2018-01-09T17:00:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 17:00, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l35&quot; &gt;Line 35:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 35:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[&lt;/del&gt;Kaufman-1989&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/del&gt;Henkelman-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;1985, &lt;/del&gt;NEMA-2008&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/del&gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is know that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition [Reeder-2005, Kellman-2005, Constantinides-2004, Dietrich-2007]. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundreds, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating pixel-by-pixel difference between two images acquired under exactly the same conditions [NEMA-2008, Murphy-1993, Firbank-1999]. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;ref&amp;gt; &lt;/ins&gt;Kaufman &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;to-noise ratios in MR imaging. Radiology &lt;/ins&gt;1989&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;;173:265-267&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;&lt;/ins&gt;Henkelman &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232&lt;/ins&gt;-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;233.&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. &lt;/ins&gt;NEMA &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Standards Publication MS 1&lt;/ins&gt;-2008&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. National Electrical Manufacturers Association; 2008.&amp;lt;/ref&amp;gt;&lt;/ins&gt;. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is know that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition [Reeder-2005, Kellman-2005, Constantinides-2004, Dietrich-2007]. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundreds, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating pixel-by-pixel difference between two images acquired under exactly the same conditions [NEMA-2008, Murphy-1993, Firbank-1999]. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;references /&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Kaufman-1989] Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[Henkelman-1985] Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*[NEMA-2008] National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[Reeder-2005] Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical ap- proaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[Reeder-2005] Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical ap- proaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[Kellman-2005] Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*[Kellman-2005] Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57630&amp;oldid=prev</id>
		<title>Tokuda at 16:54, 9 January 2018</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=57630&amp;oldid=prev"/>
		<updated>2018-01-09T16:54:00Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 16:54, 9 January 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l8&quot; &gt;Line 8:&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-start|{{documentation/modulename}}}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-start|{{documentation/modulename}}}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-row}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-row}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;This work is supported by NA-MIC, NCIGT, and the Slicer Community. &lt;/del&gt;This work is partially supported by NIH 1R01CA111288-01A1 &amp;quot;Enabling Technologies for MRI-Guided Prostate Interventions&amp;quot; (PI: Clare Tempany), &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;P01-CA67165 &amp;quot;Image Guided Therapy&amp;quot; (PI: Ferenc Joelsz) &lt;/del&gt;and AIST Intelligent Surgical Instrument Project (PI: Makoto Hashizume, Site-PI: Nobuhiko Hata).&amp;lt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;br&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This work is partially supported by NIH &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;P41EB015898 &amp;quot;Image Guided Therapy Center&amp;quot; (PI: Clare Tempany), &lt;/ins&gt;1R01CA111288-01A1 &amp;quot;Enabling Technologies for MRI-Guided Prostate Interventions&amp;quot; (PI: Clare Tempany), and AIST Intelligent Surgical Instrument Project (PI: Makoto Hashizume, Site-PI: Nobuhiko Hata).&amp;lt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;p&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Author: Babak Matinfar, Junichi Tokuda&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Author: Babak Matinfar, Junichi Tokuda&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Contact: &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Babak Matinfar &lt;/del&gt;&amp;lt;email&amp;gt; babak@bwh.harvard.edu&amp;lt;/email&amp;gt; &amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Contact: &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Junichi Tokuda &lt;/ins&gt;&amp;lt;email&amp;gt; babak@bwh.harvard.edu&amp;lt;/email&amp;gt; &amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-row}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-row}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-logo-gallery&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{documentation/{{documentation/version}}/module-introduction-logo-gallery&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tokuda</name></author>
		
	</entry>
	<entry>
		<id>https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=55215&amp;oldid=prev</id>
		<title>UpdateBot: Nightly -&gt; 4.8</title>
		<link rel="alternate" type="text/html" href="https://www.slicer.org/w/index.php?title=Documentation/4.8/Modules/MRI_SNR_Measurement&amp;diff=55215&amp;oldid=prev"/>
		<updated>2017-10-18T07:01:42Z</updated>

		<summary type="html">&lt;p&gt;Nightly -&amp;gt; 4.8&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;noinclude&amp;gt;{{documentation/versioncheck}}&amp;lt;/noinclude&amp;gt;&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-section|Introduction and Acknowledgements}}&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-introduction-row}}&lt;br /&gt;
This work is supported by NA-MIC, NCIGT, and the Slicer Community. This work is partially supported by NIH 1R01CA111288-01A1 &amp;quot;Enabling Technologies for MRI-Guided Prostate Interventions&amp;quot; (PI: Clare Tempany), P01-CA67165 &amp;quot;Image Guided Therapy&amp;quot; (PI: Ferenc Joelsz) and AIST Intelligent Surgical Instrument Project (PI: Makoto Hashizume, Site-PI: Nobuhiko Hata).&amp;lt;br&amp;gt;&lt;br /&gt;
Author: Babak Matinfar, Junichi Tokuda&amp;lt;br&amp;gt;&lt;br /&gt;
Contact: Babak Matinfar &amp;lt;email&amp;gt; babak@bwh.harvard.edu&amp;lt;/email&amp;gt; &amp;lt;br&amp;gt;&lt;br /&gt;
{{documentation/{{documentation/version}}/module-introduction-row}}&lt;br /&gt;
{{documentation/{{documentation/version}}/module-introduction-logo-gallery&lt;br /&gt;
|{{collaborator|logo|namic}}|NA-MIC&lt;br /&gt;
|{{collaborator|logo|ncigt}}|NCIGT&lt;br /&gt;
|{{collaborator|logo|SPL}}|SPL&lt;br /&gt;
}}&lt;br /&gt;
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&amp;lt;!-- ---------------------------- --&amp;gt;&lt;br /&gt;
{{documentation/{{documentation/version}}/module-section|Module Description}}&lt;br /&gt;
3D Slicer CLI to calculate signal-to-nose ratio of MR images using &amp;quot;difference image&amp;quot; method.&lt;br /&gt;
&amp;lt;!--&lt;br /&gt;
Here comes a description what the module is good for. Explain briefly how it works and point to the [[documentation/{{documentation/version}}/Modules/{{documentation/modulename}}#References|references]] giving more details on the algorithm.&lt;br /&gt;
&lt;br /&gt;
If you are documenting a CLI, the description should be extracted from the corresponding XML description. This could be done automatically using the following wiki template:&amp;lt;pre&amp;gt;{{documentation/{{documentation/version}}/module-description}}&lt;br /&gt;
&lt;br /&gt;
{{documentation/{{documentation/version}}/module-description}}&lt;br /&gt;
--&amp;gt;&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-section|Introduction to SNR Measurement}}&lt;br /&gt;
&lt;br /&gt;
There are several methods to determine the SNR of MR images suggested in the NEMA standard and the literature. The most commonly used method among the studies on MRI-compatible robotics is a single image method, where SNR is measured based on two regions of interest (ROIs) on a single image assuming the statistically and spatially uniform distribution of noise [Kaufman-1989, Henkelman-1985, NEMA-2008]. Usually, one ROI is defined in the tissue of interest, and the other is in the image background i.e. air. Although the method takes a practical approach requiring only a single image, it is know that the method does not yield accurate SNR measurement in a phased-array surface coil system and/or sum-of-square reconstruction due to the spatial and statistical variation of noise. Alternatively, one can measure SNR without assuming the statistically and spatially uniform distribution of noise with the following methods. The first method is to measure pixel-by-pixel SNR through the repeated acquisition [Reeder-2005, Kellman-2005, Constantinides-2004, Dietrich-2007]. Because the method relies less on the assumption of statistical and spatial noise distribution than any other methods, it is often used as the gold standard SNR measurement. A drawback of this method, however, is that it requires a large number of image acquisitions, typically a few hundreds, making it difficult to be used with a slow imaging sequence. The second method is the &amp;quot;noise only image&amp;quot; method [NEMA-2008, Constantinides-1997, Kellman-2005]. The method calculates SNR based on a single or multiple &amp;quot;noise only images&amp;quot;, which are acquired without radiofrequency (RF) excitation. The &amp;quot;noise only image&amp;quot; method was further generalized by Kellman and McVeigh, where images are reconstructed in &amp;quot;SNR units&amp;quot; based on noise only images allowing direct pixel-by-pixel SNR measurement [Kellman-2005]. A disadvantage of the &amp;quot;noise only image&amp;quot; method is that most of clinical MRI system does not allow acquiring noise only images with standard pulse sequence. The third method is the &amp;quot;difference image&amp;quot; method, where noise is estimated by calculating pixel-by-pixel difference between two images acquired under exactly the same conditions [NEMA-2008, Murphy-1993, Firbank-1999]. Despite several drawbacks e.g. requirement for stationary tissue and limited precision due to small sample size, the method allows measuring local SNR with standard clinical sequence. The SNRMeasurement module calculates the SNR of MR images using the &amp;quot;difference image&amp;quot; method.&lt;br /&gt;
&lt;br /&gt;
*[Kaufman-1989] Kaufman L, Kramer DM, Crooks LE, Ortendahl DA. Measuring signal-to-noise ratios in MR imaging. Radiology 1989;173:265-267.&lt;br /&gt;
*[Henkelman-1985] Henkelman RM. Measurement of signal intensities in the presence of noise in MR images. Med Phys 1985;12:232-233.&lt;br /&gt;
*[NEMA-2008] National Electrical Manufacturers Association (NEMA). Determination of signal-to-noise ratio (SNR) in diagnostic magnetic resonance imaging. NEMA Standards Publication MS 1-2008. National Electrical Manufacturers Association; 2008.&lt;br /&gt;
*[Reeder-2005] Reeder SB, Wintersperger BJ, Dietrich O, et al. Practical ap- proaches to the evaluation of signal-to-noise ratio performance with parallel imaging: application with cardiac imaging and a 32- channel cardiac coil. Magn Reson Med 2005;54:748-754.&lt;br /&gt;
*[Kellman-2005] Kellman P, McVeigh ER. Image reconstruction in SNR units: a general method for SNR measurement. Magn Reson Med 2005;54: 1439-1447.&lt;br /&gt;
*[Constantinides-2004] Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise mea- surements in magnitude images from NMR phased arrays. Magn Reson Med 1997;38:852-857 (Erratum in: Magn Reson Med 2004; 52:219).&lt;br /&gt;
*[Dietrich-2007] Dietrich O, Raya JG, Reeder SB, Reiser MF, Schoenberg SO. Measurement of signal-to-noise ratios in MR images: influence of multichannel coils, parallel imaging, and reconstruction filters. J Magn Reson Imaging. 2007 Aug;26(2):375-85.&lt;br /&gt;
*[Murphy-1993] Murphy BW, Carson PL, Ellis JH, Zhang YT, Hyde RJ, Chenevert TL. Signal-to-noise measures for magnetic resonance imagers. Magn Reson Imaging 1993;11:425-428.&lt;br /&gt;
*[Firbank-1999] Firbank MJ, Coulthard A, Harrison RM, Williams ED. A comparison of two methods for measuring the signal to noise ratio on MR images. Phys Med Biol 1999;44:N261-N264.&lt;br /&gt;
*[Constantinides-1997] Constantinides CD, Atalar E, McVeigh ER. Signal-to-noise measure- ments in magnitude images from NMR phased arrays. [Published erra- tum in: Magn Reson Med. 2004 Jul;52:219]. Magn Reson Med 1997;38: 852-857.&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-section|Tutorials}}&lt;br /&gt;
&lt;br /&gt;
The SNR module is created to compute the SNR for MR sequences based on the difference image method. In this method, two MR images are acquired under identical conditions. These images are then added and subtracted from each other pixel by pixel. In the resulting images, a region of interest is defined and the mean and standard deviation of the ROI is computed. SNR is computed as:&amp;lt;math&amp;gt;Insert formula here&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* Procedure:&lt;br /&gt;
** Using Slicer, load the two MR images which SNR is measured for.&lt;br /&gt;
** Define an ROI using the Editor tool. The ROI should have two labels, for example two circles with the radius of 40 mm, on two axial slices. They should be separated properly from each other. It does not matter which of the two MR images is used to define the ROI.&lt;br /&gt;
[[File:SNR1.jpg]]&lt;br /&gt;
&lt;br /&gt;
* Open the SNRMeasurement module.:&lt;br /&gt;
** Select the Input Volume 1 as one of the MR image, and Input Volume 2 as the other MR image&lt;br /&gt;
** Select the Label Map as the ROI which was defined above. Usually it is named “MR image Name”-label. &lt;br /&gt;
** Click Apply&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-section|Panels and their use}}&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-parametersdescription}}&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-section|Similar Modules}}&lt;br /&gt;
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{{documentation/{{documentation/version}}/module-section|References}}&lt;br /&gt;
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		<author><name>UpdateBot</name></author>
		
	</entry>
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