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

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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https://hal.archives-ouvertes.fr/hal-00130116
Contributor : Maïtine Bergounioux <>
Submitted on : Sunday, February 11, 2007 - 7:14:31 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
Document(s) archivé(s) le : Tuesday, September 21, 2010 - 12:07:17 PM

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Laurence Guillot, Maïtine Bergounioux. Existence and uniqueness results for the Gradient Vector Flow and geodesic active contours mixed model. Communications on Pure and Applied Mathematics, Wiley, 2009, 8 (4), pp. 1333-1249. ⟨hal-00130116v2⟩

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