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Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration

Institution:	1Computer Science and Artificial Intelligence Laboratory, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139, USA. ythomas@csail.mit.edu 2Mauna Kea Technologies, Paris, France 3Asclepios Group, INRIA, Sophia Antipolis, France
Publisher:	IEEE Engineering in Medicine and Biology Society
Publication Date:	Mar-2010
Journal:	IEEE Trans Med Imaging
Volume Number:	29
Issue Number:	3
Pages:	650-68
Citation:	IEEE Trans Med Imaging. 2010 Mar;29(3):650-68.
PubMed ID:	19709963
PMCID:	PMC2862393
Keywords:	Surface Registration, Spherical Registration, Cortical Registration, Vector Field Interpolation, Demons, Diffeomorphism, Projects:SphericalDemons
Appears in Collections:	NA-MIC, NAC
Sponsors:	AG02238 (AG) funded by NIA NIH HHS P41 RR13218 (RR) funded by NCRR NIH HHS P41 RR14075 (RR) funded by NCRR NIH HHS R01 EB001550 (EB) funded by NIBIB NIH HHS R01 NS052585-01 (NS) funded by NINDS NIH HHS R01 RR16594-01A1 (RR) funded by NCRR NIH HHS R01 NS051826 (NS) funded by NINDS NIH HHS R01 EB006758 (EB) funded by NIBIB NIH HHS U24 RR021382 (RR) funded by NCRR NIH HHS U54 EB005149 (EB) funded by NIBIB NIH HHS
Generated Citation:	Yeo B.T.T., Sabuncu M.R., Vercauteren T., Ayache N., Fischl B., Golland P. Spherical Demons: Fast Diffeomorphic Landmark-Free Surface Registration. IEEE Trans Med Imaging. 2010 Mar;29(3):650-68. PMID: 19709963. PMCID: PMC2862393.
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We present the Spherical Demons algorithm for registering two spherical images. By exploiting spherical vector spline interpolation theory, we show that a large class of regularizors for the modified Demons objective function can be efficiently approximated on the sphere using iterative smoothing. Based on one parameter subgroups of diffeomorphisms, the resulting registration is diffeomorphic and fast. The Spherical Demons algorithm can also be modified to register a given spherical image to a probabilistic atlas. We demonstrate two variants of the algorithm corresponding to warping the atlas or warping the subject. Registration of a cortical surface mesh to an atlas mesh, both with more than 160 k nodes requires less than 5 min when warping the atlas and less than 3 min when warping the subject on a Xeon 3.2 GHz single processor machine. This is comparable to the fastest nondiffeomorphic landmark-free surface registration algorithms. Furthermore, the accuracy of our method compares favorably to the popular FreeSurfer registration algorithm. We validate the technique in two different applications that use registration to transfer segmentation labels onto a new image 1) parcellation of in vivo cortical surfaces and 2) Brodmann area localization in ex vivo cortical surfaces.

Yeo-IEEE-TMI2010-fig6.jpg (203.469kB)