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Titlebook: Conformal Geometry; Computational Algori Miao Jin,Xianfeng Gu,Yalin Wang Book 2018 Springer International Publishing AG, part of Springer N

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thors at the University of Louisiana at Lafayette, the State University of New York at Stony Brook, and Tsinghua University, and will be of interest to senior undergraduates, graduates and researchers in computer science, applied mathematics, and engineering..978-3-030-09202-3978-3-319-75332-4
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Book 2018 University of New York at Stony Brook, and Tsinghua University, and will be of interest to senior undergraduates, graduates and researchers in computer science, applied mathematics, and engineering..
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Topological Algorithmsular meshes, fundamental topological concepts and corresponding computational algorithms including cut graph, fundamental domain, homotopy, homology group basis, and canonical homotopy group generators.
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Harmonic Mapnic maps on piecewise linear triangular meshes. Specifically, algorithms to compute conformal maps between two closed genus zero surfaces or a topological disk surface and a unit planar disk are detailed in this chapter.
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Geometric Modelingnd computational framework for modeling geometrically complicated surfaces of arbitrary topology. The technical challenge is how to extend polynomial-centric splines defined over open, planar domains to that over any manifold setting. Our solution is an affine structure for any manifold surface, ser
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