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Discrete Ricci Flow

In: Conformal Geometry

Author

Listed:
  • 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)

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.

Suggested Citation

  • Miao Jin & Xianfeng Gu & Ying He & Yalin Wang, 2018. "Discrete Ricci Flow," Springer Books, in: Conformal Geometry, chapter 0, pages 39-56, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-75332-4_5
    DOI: 10.1007/978-3-319-75332-4_5
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