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Conference papers
Brain Mapping with the Ricci Flow Conformal Parameterization and Multivariate Statistics on Deformation Tensors
Abstract : By solving the Yamabe equation with the discrete surface Ricci flow method, we can conformally parameterize a multiple bound- ary surface by a multi-hole disk. The resulting parameterizations do not have any singularities and they are intrinsic and stable. For applications in brain mapping research, first, we convert a cortical surface model into a multiple boundary surface by cutting along selected anatomical landmark curves. Secondly, we conformally parameterize each cortical surface using a multi-hole disk. Inter-subject cortical surface matching is performed by solving a constrained harmonic map in the canonical parameter domain. To map group differences in cortical morphometry, we then compute a manifold version of Hotelling's T2 test on the Ja- cobian matrices. Permutation testing was used to estimate statistical significance. We studied brain morphology in 21 patients with Williams Syndrome (WE) and 21 matched healthy control subjects with the pro- posed method. The results demonstrate our algorithm's potential power to effectively detect group differences on cortical surfaces.
Cited literature [26 references]
https://hal.inria.fr/inria-00630241
Contributor : Alain Monteil <>
Submitted on : Thursday, October 13, 2011 - 10:25:09 PM
Last modification on : Tuesday, August 13, 2019 - 11:22:21 AM
Long-term archiving on: : Tuesday, November 13, 2012 - 4:42:06 PM
Contributor : Alain Monteil <>
Submitted on : Thursday, October 13, 2011 - 10:25:09 PM
Last modification on : Tuesday, August 13, 2019 - 11:22:21 AM
Long-term archiving on: : Tuesday, November 13, 2012 - 4:42:06 PM
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