Discrete Ricci Flow

  • Miao JinEmail author
  • Xianfeng Gu
  • Ying He
  • Yalin Wang


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.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Centre for Advanced Computer StudiesUniversity of LouisianaLafayetteUSA
  2. 2.State University of New YorkStony BrookUSA
  3. 3.School of Computer Science and EngineeringNanyang Technological UniversitySingaporeSingapore
  4. 4.School of Computing, Informatics and Decision Systems EngineeringArizona State UniversityTempeUSA

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