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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, 30(3): 598-613. DOI: 10.1007/s11390-015-1548-8
Citation: 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, 30(3): 598-613. DOI: 10.1007/s11390-015-1548-8

Survey on Discrete Surface Ricci Flow

  • 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.
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