A Convolution-Thresholding Approximation of Generalized Curvature Flows

Authors:
Richards Grzhibovskis;Alexei Heintz
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2004

Citing 0
Cited 1

Convex Relaxation of a Class of Vertex Penalizing Functionals

Journal of Mathematical Imaging and Vision

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Abstract

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.