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Spherical demons: fast diffeomorphic landmark-free surface registration.

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.

Pubmed ID: 19709963

Authors

  • Yeo BT
  • Sabuncu MR
  • Vercauteren T
  • Ayache N
  • Fischl B
  • Golland P

Journal

IEEE transactions on medical imaging

Publication Data

March 4, 2010

Associated Grants

  • Agency: NIA NIH HHS, Id: AG02238
  • Agency: NCRR NIH HHS, Id: P41-RR13218
  • Agency: NCRR NIH HHS, Id: P41-RR14075
  • Agency: NIBIB NIH HHS, Id: R01 EB001550
  • Agency: NINDS NIH HHS, Id: R01 NS052585-01
  • Agency: NCRR NIH HHS, Id: R01 RR16594-01A1
  • Agency: NINDS NIH HHS, Id: R01-NS051826
  • Agency: NIBIB NIH HHS, Id: R01EB006758
  • Agency: NCRR NIH HHS, Id: U24-RR021382
  • Agency: NIBIB NIH HHS, Id: U54 EB005149-050001
  • Agency: NIBIB NIH HHS, Id: U54-EB005149

Mesh Terms

  • Algorithms
  • Cerebral Cortex
  • Humans
  • Image Processing, Computer-Assisted
  • Least-Squares Analysis
  • Magnetic Resonance Imaging
  • Models, Biological
  • Reproducibility of Results
  • Time Factors