A Convolution-Thresholding Approximation of Generalized Curvature Flows

SIAM JOURNAL ON NUMERICAL ANALYSIS（2006）

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摘要

We construct a convolution-thresholding approximation scheme for the geometric surface evolution in the case when the velocity of the surface at each point is a given function of the mean curvature. Conditions for the monotonicity of the scheme are found and the convergence of the approximations to the corresponding viscosity solution is proved. We also discuss some aspects of the numerical implementation of such schemes and present several numerical results.

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关键词

level-set equation,mean curvature,geometric surface evolution,convolution-thresholding scheme,generalized curvature flows,corresponding viscosity solution,numerical implementation,numerical result,viscosity solution,generalized curvature flow,convolution-thresholding approximation,convolution-thresholding approximation scheme,level set

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