Survey on Discrete Surface Ricci Flow
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 surv...
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Veröffentlicht in: | Journal of computer science and technology 2015-05, Vol.30 (3), p.598-613 |
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creator | 章敏 曾薇 郭任 罗锋 顾险峰 |
description | 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 surface |
doi_str_mv | 10.1007/s11390-015-1548-8 |
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subjects | Algorithms Analysis Artificial Intelligence Computation Computer Science Constants Curvature Data Structures and Information Theory Design Design engineering Diffusion Fluid mechanics Information Systems Applications (incl.Internet) Mathematical analysis Nonlinearity Registration Software Software Engineering Studies Survey Theory of Computation Topological manifolds 形状分析 扩散工艺 曲率 曲面离散 计算工具 计算算法 非线性 黎曼度量 |
title | Survey on Discrete Surface Ricci Flow |
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