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A geometric model for active contours in image processing
Authors:Vicent Caselles  Francine Catté  Tomeu Coll  Françoise Dibos
Institution:(1) Department de Matemàtiques i Informàtica, Universitat de les Illes Balears, Ctra. Valldemossa, Km. 7.5, Palma de Mallorca (Balears), Spain;(2) CEREMADE, Université de Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France
Abstract:Summary We propose a new model for active contours based on a geometric partial differential equation. Our model is intrinsec, stable (satisfies the maximum principle) and permits a rigorous mathematical analysis. It enables us to extract smooth shapes (we cannot retrieve angles) and it can be adapted to find several contours simultaneously. Moreover, as a consequence of the stability, we can design robust algorithms which can be engineed with no parameters in applications. Numerical experiments are presented.
Keywords:49F22  53A10  82A60  76T05  49A50  80A15  40F10
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