Intrinsic brain surface conformal mapping using a variational method

Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Thompson, Shing Tung Yau

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

11 Scopus citations

Abstract

We developed a general method for global conformal parameterizations based on the structure of the cohomology group of holomorphic one-forms with or without boundaries. For genus zero surfaces, our algorithm can find a unique mapping between any two genus zero manifolds by minimizing the harmonic energy of the map. In this paper, we apply the algorithm to the cortical surface matching problem. We use a mesh structure to represent the brain surface. Further constraints are added to ensure that the conformal map is unique. Empirical tests on MRI data show that the mappings preserve angular relationships, are stable in MRIs acquired at different times, and are robust to differences in data triangulation, and resolution. Compared with other brain surface conformal mapping algorithms, our algorithm is more stable and has good extensibility.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsJ.M. Fitzpatrick, M. Sonka
Pages241-252
Number of pages12
Volume5370 I
DOIs
StatePublished - 2004
Externally publishedYes
EventProgress in Biomedical Optics and Imaging - Medical Imaging 2004: Imaging Processing - San Diego, CA, United States
Duration: Feb 16 2004Feb 19 2004

Other

OtherProgress in Biomedical Optics and Imaging - Medical Imaging 2004: Imaging Processing
CountryUnited States
CitySan Diego, CA
Period2/16/042/19/04

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Wang, Y., Gu, X., Chan, T. F., Thompson, P. M., & Yau, S. T. (2004). Intrinsic brain surface conformal mapping using a variational method. In J. M. Fitzpatrick, & M. Sonka (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 5370 I, pp. 241-252) https://doi.org/10.1117/12.534480