12 May 2004 Intrinsic brain surface conformal mapping using a variational method
Author Affiliations +
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.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Thompson, Shing-Tung Yau, "Intrinsic brain surface conformal mapping using a variational method", Proc. SPIE 5370, Medical Imaging 2004: Image Processing, (12 May 2004); doi: 10.1117/12.534480; https://doi.org/10.1117/12.534480


Multimodal brain visualization
Proceedings of SPIE (March 29 2016)
Computerized atlas for functional stereotaxis
Proceedings of SPIE (September 17 1993)
Hemispherical map for the human brain cortex
Proceedings of SPIE (July 03 2001)

Back to Top