20 October 1997 Qualitative and asymptotic properties of curvature-driven silhouette deformations
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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.
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Ilia A. Bogaevski, Ilia A. Bogaevski, Alexander G. Belyaev, Alexander G. Belyaev, Tosiyasu L. Kunii, Tosiyasu L. Kunii, "Qualitative and asymptotic properties of curvature-driven silhouette deformations", Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); doi: 10.1117/12.279659; https://doi.org/10.1117/12.279659

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