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Journal of Computer Science and Technology 2015, Vol. 30 Issue (3) :598-613    DOI: 10.1007/s11390-015-1548-8
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Survey on Discrete Surface Ricci Flow
Min Zhang1(章敏), Wei Zeng2(曾薇), Ren Guo3(郭韧), Feng Luo4(罗锋), Xianfeng David Gu1(顾险峰), Member, IEEE
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 Information 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.

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Abstract Ricci flow deforms the Riemannian metric proportional to the curvature, such that thecurvature 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.Surface Ricci flow has been generalized to the discrete setting. This work surveys the theory of discrete surface Ricci flow, its computational algorithms, and applications for surface registration and shape analysis.
Articles by authors
Min Zhang
Wei Zeng
Ren Guo
Feng Luo
Xianfeng David Gu
KeywordsRicci Flow   Discrete   Riemannian metric   Ricci energy   Uniformazation theory     
Received 2014-04-10;
About author: Min Zhang received her B.S. and Ph.D. degrees in mathematics from Zhejiang University, Hangzhou. She got her second Ph.D. degree in the Department of Computer Science of the State University of New York at Stony Brook, USA, in 2014. Her research interests include computer graphics, visualization, and geometric modeling.
Cite this article:   
Min Zhang, Wei Zeng, Ren Guo, Feng Luo, Xianfeng David Gu.Survey on Discrete Surface Ricci Flow[J]  Journal of Computer Science and Technology, 2015,V30(3): 598-613
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