Hippocampal surface discrimination via invariant descriptors of spherical conformal maps

Boris Gutman, Yalin Wang, Lok Ming Lui, Tony F. Chan, Paul M. Thompson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Weighted spherical harmonic shape descriptors are based on the subspaces of L 2(S 2) spanned by spherical harmonics of a single degree. Such shape descriptors incorporate both shape and scaling information, while preserving invariance with respect to other non-reflexive affine transformations. Thus, their application allows for direct comparison of shapes across subjects, resolutions and within-subject components. On the other hand, global conformal parametrization preserves intrinsic conformal structure and thus allows for vast differences in object scaling on the 2-sphere. As a result, surface energy is distributed more evenly across the spherical harmonic spectrum, with the higher resolution descriptors representing regions with higher conformal factor. We applied our morphometry to 96 hippocampal surfaces. The data used were 12 control and 12 Alzheimer (AD) T1 and T2 subjects. An independent-samples t-test revealed significant differences for the change in hemispheric shape difference in shape descriptors of degrees 3, 20, 22, 25 and 27, with the highest p-value of .001, t = 4.019, predicting 22 out of 24 subjects' diagnosis correctly.

Original languageEnglish (US)
Title of host publication2007 4th IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationFrom Nano to Macro - Proceedings
Pages1316-1319
Number of pages4
DOIs
StatePublished - Nov 27 2007
Externally publishedYes
Event2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07 - Arlington, VA, United States
Duration: Apr 12 2007Apr 15 2007

Publication series

Name2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings

Other

Other2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro; ISBI'07
CountryUnited States
CityArlington, VA
Period4/12/074/15/07

    Fingerprint

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Medicine(all)

Cite this

Gutman, B., Wang, Y., Lui, L. M., Chan, T. F., & Thompson, P. M. (2007). Hippocampal surface discrimination via invariant descriptors of spherical conformal maps. In 2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings (pp. 1316-1319). [4193536] (2007 4th IEEE International Symposium on Biomedical Imaging: From Nano to Macro - Proceedings). https://doi.org/10.1109/ISBI.2007.357102