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Least-square conformal brain mapping with spring energy
Authors:Jingxin  Tianming  Gang  Geoffrey  Ashley  Lei  Stephen TC  
Institution:

aSchool of Automation, Northwestern Polytechnic University, Xi’an, China

bCenter for Bioinformatics, Harvard Center for Neurodegeneration and Repair, Harvard Medical School, Boston, MA, United States

cFunctional and Molecular Imaging Center, Department of Radiology, Brigham and Women’ Hospital, Boston, MA, United States

Abstract:The human brain cortex is a highly convoluted sheet. Mapping of the cortical surface into a canonical coordinate space is an important tool for the study of the structure and function of the brain. Here, we present a technique based on least-square conformal mapping with spring energy for the mapping of the cortical surface. This method aims to reduce the metric and area distortion while maintaining the conformal map and computation efficiency. We demonstrate through numerical results that this method effectively controls metric and area distortion, and is computational efficient. This technique is particularly useful for fast visualization of the brain cortex.
Keywords:Conformal mapping  Brain cortex  Spring energy  Brain mapping  Angle distortion  Area distortion
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