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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Jin, M., Gu, X., He, Y., Wang, Y. (2018). Discrete Ricci Flow. In: Conformal Geometry. Springer, Cham. https://doi.org/10.1007/978-3-319-75332-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-75332-4_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-75330-0
Online ISBN: 978-3-319-75332-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)