Discrete Ricci Flow

Miao Jin (), Xianfeng Gu, Ying He and Yalin Wang
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Miao Jin: University of Louisiana, Centre for Advanced Computer Studies
Xianfeng Gu: State University of New York
Ying He: Nanyang Technological University, School of Computer Science and Engineering
Yalin Wang: Arizona State University, School of Computing, Informatics and Decision Systems Engineering

Chapter Chapter 5 in Conformal Geometry, 2018, pp 39-56 from Springer

Abstract: Abstract Surface Ricci flow is a powerful tool to design Riemannian metric of a surface such that the metric induces a user-defined Gaussian curvature function 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.

Date: 2018
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DOI: 10.1007/978-3-319-75332-4_5

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