Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
Alter, François; Caselles, Vincent; Chambolle, Antonin (2005), Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow, Interfaces and free boundaries, 7, 1, p. 29-53. http://dx.doi.org/10.4171/IFB/112
TypeArticle accepté pour publication ou publié
Journal nameInterfaces and free boundaries
MetadataShow full item record
Abstract (EN)In this paper we compute the explicit evolution of the Minimizing Total Variation flow when the initial condition is the characteristic function of a convex set in R2, or a finite number of them which are sufficiently separated. We shall also obtain some explicit solutions of the Total Variation formulation of the denoising problem in image processing. We illustrate these results with some experiments.
Subjects / KeywordsBV functions; total variation flow; convex set; denoising
Showing items related by title and author.