English

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

Analysis of PDEs 2016-08-14 v1

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.

Keywords

Cite

@article{arxiv.math/0702255,
  title  = {Existence and uniqueness results for the Gradient Vector Flow and geodesic active contours mixed model},
  author = {Laurence Guillot and Maïtine Bergounioux},
  journal= {arXiv preprint arXiv:math/0702255},
  year   = {2016}
}

Comments

21 pages