Titlebook: Ricci Flow for Shape Analysis and Surface Registration; Theories, Algorithms Wei Zeng,Xianfeng David Gu Book 2013 Wei Zeng, Xianfeng David

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Riemann Surface,Riemann surface theory studies the invariants under conformal transformation group. This chapter briefly introduces the Riemann surface theory [7], including quasi-conformal mapping [1], Teichmüller space [3, 12], and surface harmonic maps [10, 11]. Finally, the Teichmüller theory of harmonic maps [13] is covered.

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https://doi.org/10.1007/978-1-4614-8781-4Diffeomorphism; Poincaré’s Conjecture; QuasiConformal; Ricci Flow; Surface Registration; Uniformization

原告

Introduction,rphisms, isometries, conformal transformations, and rigid motions) and group actions on shape spaces. In order to perform surface registration and shape analysis in the shape space and the mapping space, Ricci flow is introduced, which leads to the celebrated uniformization theorem.

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978-1-4614-8780-7Wei Zeng, Xianfeng David Gu 2013

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Ricci Flow for Shape Analysis and Surface Registration978-1-4614-8781-4Series ISSN 2191-8198 Series E-ISSN 2191-8201

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