Mesh Parameterization with Generalized Discrete Conformal Maps
نویسندگان
چکیده
منابع مشابه
On Discrete Conformal Seamless Similarity Maps
An algorithm for the computation of global discrete conformal parametrizations with prescribed global holonomy signatures for triangle meshes was recently described in [Campen and Zorin 2017]. In this paper we provide a detailed analysis of convergence and correctness of this algorithm. We generalize and extend ideas of [Springborn et al. 2008] to show a connection of the algorithm to Newton’s ...
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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...
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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We present a spectral approach to automatically and efficiently obtain discrete free-boundary conformal parameterizations of triangle mesh patches, without the common artifacts due to positional constraints on vertices and without undue bias introduced by sampling irregularity. High-quality parameterizations are computed through a constrained minimization of a discrete weighted conformal energy...
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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...
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ژورنال
عنوان ژورنال: Journal of Mathematical Imaging and Vision
سال: 2012
ISSN: 0924-9907,1573-7683
DOI: 10.1007/s10851-012-0362-y