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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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Harmonic and Holomorphic FormsDifferential forms are powerful tools to tackle many geometric problems on meshes including computing conformal maps. This chapter introduces the computational algorithms of cohomology and forms.
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Miao Jin,Xianfeng Gu,Yalin WangProvides an essential overview of computational conformal geometry applied to engineering fields.Explores fundamental problems in specific fields of application.Developed from courses given by the aut
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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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Discrete Ricci Flow on the surface. The metric is conformal (i.e., angle-preserving) to the original one of surface. For engineering applications, smooth surfaces are approximated by discrete ones. This chapter introduces computational algorithms of Ricci flow on piecewise linear triangular meshes.
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Computer Visionng the topology and geometry information to effective index, classify, and register 3D shapes. Several research topics, including Teichmüller shape space, 3D facial shape index and signatures of 2D Shapes, together with their experimental results, are detailed in this chapter.
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https://doi.org/10.1007/978-3-319-75332-4Computational Algorithms and Engineering Applications; Computer Graphics & Vision; Conformal Geometry;
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978-3-030-09202-3Springer International Publishing AG, part of Springer Nature 2018
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