Survey on Discrete Surface Ricci Flow  

作　　者：章敏 曾薇 郭任 罗锋 顾险峰 

机构地区：[1]Department of Computer Science, State University of New York at Stony Brook, Stony Brook, NY 11794-4400, U.S.A [2]School of Computing and Infor Tnation Sciences, Florida International University, Miami, Florida 33199, U.S.A. [3]Department of Mathematics, Oregon State University, Corvallis, OR 97331-4605, U.S.A. [4]Department of Mathematics, Rutgers University, Piscataway, NJ 08854, U.S.A.

出　　处：《Journal of Computer Science & Technology》2015年第3期598-613,共16页计算机科学技术学报（英文版）

摘　　要：Ricci flow deforms the Riemannian metric proportionally to the curvature, such that the curvature evolves according to a nonlinear heat diffusion process, and becomes constant eventually. Ricci flow is a powerful computational tool to design Riemannian metrics by prescribed curvatures This work surveys the theory of discrete surface Ricci flow registration and shape analysis. Surface Ricci flow has been generalized to the discrete setting. its computational algorithms, and the applications for surfaceRicci flow deforms the Riemannian metric proportionally to the curvature, such that the curvature evolves according to a nonlinear heat diffusion process, and becomes constant eventually. Ricci flow is a powerful computational tool to design Riemannian metrics by prescribed curvatures This work surveys the theory of discrete surface Ricci flow registration and shape analysis. Surface Ricci flow has been generalized to the discrete setting. its computational algorithms, and the applications for surface

关 键 词：Ricci flow DISCRETE Riemannian metric Ricci energy uniformization theory 

分 类 号：O186.12[理学—数学] TG659[理学—基础数学]