Brain Surface Conformal Parameterization Using Riemann Surface Structure
نویسندگان
چکیده
منابع مشابه
Brain Surface Parameterization Using Riemann Surface Structure
We develop a general approach that uses holomorphic 1-forms to parameterize anatomical surfaces with complex (possibly branching) topology. Rather than evolve the surface geometry to a plane or sphere, we instead use the fact that all orientable surfaces are Riemann surfaces and admit conformal structures, which induce special curvilinear coordinate systems on the surfaces. Based on Riemann sur...
متن کاملBrain Surface Conformal Parameterization
Yalin Wang Mathematics Department, UCLA email: [email protected] Xianfeng Gu Computer Science Department SUNY at Stony Brook emai: [email protected] Kiralee M. Hayashi Laboratory of Neuro Imaging UCLA School of Medicine email: [email protected] Tony F. Chan Mathematics Department, UCLA email: [email protected] Paul M. Thompson Laboratory of Neuro Imaging UCLA School of Medicine email: t...
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In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registration and signal processing. Here we introduce a parameterization method based on algebraic functions. By solving the Yamabe equation with the Ricci flow method, we can conformally map a brain surface to a multi-hole di...
متن کاملBrain Surface Conformal Parameterization with Algebraic Functions
In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registration and signal processing. Here we introduce a parameterization method based on algebraic functions. By solving the Yamabe equation with the Ricci flow method, we can conformally map a brain surface to a multi-hole di...
متن کاملGlobal Conformal Surface Parameterization
We solve the problem of computing global conformal parameterizations for surfaces with nontrivial topologies. The parameterization is global in the sense that it preserves the conformality everywhere except for a few points, and has no boundary of discontinuity. We analyze the structure of the space of all global conformal parameterizations of a given surface and find all possible solutions by ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Medical Imaging
سال: 2007
ISSN: 0278-0062
DOI: 10.1109/tmi.2007.895464