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Existence and uniqueness results for the Gradient Vector Flow and geodesic active contours mixed model

Laurence Guillot, Maïtine Bergounioux

math.AParXiv:math/0702255

Abstract

This article deals with the so called GVF (Gradient Vector Flow) introduced by C. Xu, J.L. Prince . We give existence and uniqueness results for the front propagation flow for boundary extraction that was initiated by Paragios, Mellina-Gottardo et Ralmesh . The model combines the geodesic active contour flow and the GVF to determine the geometric flow. The motion equation is considered within a level set formulation to result an Hamilton-Jacobi equation.

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