<title>Qualitative and asymptotic properties of curvature-driven silhouette deformations</title>

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We consider deformations of a silhouette while its boundary evolves according to a function of the curvature. The functions assumed to satisfy some general conditions of monotonicity and positiveness. For all such deformations we prove the following qualitative properties: convexity preservation, reduction of the number of the curvature extrema, and finite time disappearing. For some curvature- driven deformations we investigate the limiting shapes of the shrinking parts of the silhouette. A discrete polygon evolution scheme is used to demonstrate our theoretical.© (1997) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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