Title:
Algorithms for stochastic approximations of curvature flows

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Unal, Gozde
Nain, Delphine
Ben Arous, Gérard
Shimkin, Nahum
Tannenbaum, Allen R.
Zeitouni, Ofer
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Abstract
Curvature flows have been extensively considered from a deterministic point of view. They have been shown to be useful for a number of applications including crystal growth, flame propagation, and computer vision. In some previous work G. Ben-Arous et al. (2002), we have described a random particle system, evolving on the discretized unit circle, whose profile converges toward the Gauss-Minkowsky transformation of solutions of curve shortening flows initiated by convex curves. The present note shows that this theory may be implemented as a new way of evolving curves and as a possible alternative to level set methods.
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2003-09
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