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Group-Wise Cortical Correspondence via Sulcal Curve-constrained Entropy Minimization

1Department of Computer Science, University of North Carolina, Chapel Hill, NC, USA.
2Department of Psychiatry, University of North Carolina, Chapel Hill, NC, USA.
3Department of Biomedical Engineering, Korea University, Seoul, South Korea.
4Department of Computer Science, KAIST, Daejeon, South Korea.
5Montreal Neurological Institute, McGill University, Montreal, Quebec, Canada.
6Yerkes National Primate Research Center, Emory University, Atlanta, GA, USA.
Inf Process Med Imaging IPMI 2013
Publication Date:
Volume Number:
Inf Process Med Imaging. 2013 Jun; 23:364-75.
PubMed ID:
Group-wise Correspondence, Sulcal curves, Spherical harmonics, Entropy minimization, Cortical Thickness
Appears in Collections:
U54 EB005149/EB/NIBIB NIH HHS/United States
R01 MH091645/MH/NIMH NIH HHS/United States
P50 MH078105/MH/NIMH NIH HHS/United States
P50 MH100029/MH/NIMH NIH HHS/United States
P30 HD003110/HD/NICHD NIH HHS/United States
Generated Citation:
Lyu I., Kim S.H., Seong J-K., Yoo S.W., Evans A.C., Shi Y., Sanchez M., Niethammer M., Styner M. Group-Wise Cortical Correspondence via Sulcal Curve-constrained Entropy Minimization. Inf Process Med Imaging. 2013 Jun; 23:364-75. PMID: 24683983. PMCID: PMC4003502.
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We present a novel cortical correspondence method employing group-wise registration in a spherical parametrization space for the use in local cortical thickness analysis in human and non-human primate neuroimaging studies. The proposed method is unbiased registration that estimates a continuous smooth deformation field into an unbiased average space via sulcal curve-constrained entropy minimization using spherical harmonic decomposition of the spherical deformation field. We initialize a correspondence by our pair-wise method that establishes a surface correspondence with a prior template. Since this pair-wise correspondence is biased to the choice of a template, we further improve the correspondence by employing unbiased ensemble entropy minimization across all surfaces, which yields a deformation field onto the iteratively updated unbiased average. The specific entropy metric incorporates two terms: the first focused on optimizing the correspondence of automatically extracted sulcal landmarks and the second on that of sulcal depth maps. We also propose an encoding scheme for spherical deformation via spherical harmonics as well as a novel method to choose an optimal spherical polar coordinate system for the most efficient deformation field estimation. The experimental results show evidence that the proposed method improves the correspondence quality in non-human primate and human subjects as compared to the pair-wise method.

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