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

10 Citations (Scopus)

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

Fingerprint

Conformal mapping
conformal mapping
brain
Brain
Magnetic resonance imaging
triangulation
homology
Triangulation
Parameterization
parameterization
mesh
harmonics
energy

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

Intrinsic brain surface conformal mapping using a variational method. / Wang, Yalin; Gu, Xianfeng; Chan, Tony F.; Thompson, Paul M.; Yau, Shing Tung.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / J.M. Fitzpatrick; M. Sonka. Vol. 5370 I 2004. p. 241-252.

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

Wang, Y, Gu, X, Chan, TF, Thompson, PM & Yau, ST 2004, Intrinsic brain surface conformal mapping using a variational method. in JM Fitzpatrick & M Sonka (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 5370 I, pp. 241-252, Progress in Biomedical Optics and Imaging - Medical Imaging 2004: Imaging Processing, San Diego, CA, United States, 2/16/04. https://doi.org/10.1117/12.534480
Wang Y, Gu X, Chan TF, Thompson PM, Yau ST. Intrinsic brain surface conformal mapping using a variational method. In Fitzpatrick JM, Sonka M, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 5370 I. 2004. p. 241-252 https://doi.org/10.1117/12.534480
Wang, Yalin ; Gu, Xianfeng ; Chan, Tony F. ; Thompson, Paul M. ; Yau, Shing Tung. / Intrinsic brain surface conformal mapping using a variational method. Proceedings of SPIE - The International Society for Optical Engineering. editor / J.M. Fitzpatrick ; M. Sonka. Vol. 5370 I 2004. pp. 241-252
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