Browsing by Author "Caselles, Vicente"

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  • Sadek, Rida; Constantinopoulos, Constantinos; Meinhardt Llopis, Enric; Ballester, Coloma; Caselles, Vicente (SIAM (Society for Industrial and Applied Mathematics), 2012)
    Using a classical result on algebraic invariants of the unimodular group, we present in this paper some basic geometric affine invariant quantities, and we use them to construct some distinctive descriptors for object ...
  • Carrillo, José; Caselles, Vicente; Moll, Salvador (London Mathematical Society, 2013)
    We study the relativistic heat equation in one space dimension. We prove a local regularity result when the initial datum is locally Lipschitz in its support. We propose a numerical scheme that captures the known features ...
  • Alcoceba Hornos, Iván (2012-09)
    En este proyecto se estudia como generar un resumen de una colección de fotografías seleccionándolas automáticamente.Se construye un sistema capaz de permitir a un usuario subir una colección de imágenes a una plataforma ...
  • Lazcano, Vanel (Universitat Pompeu Fabra, 2016-02-04)
    In this thesis we tackle two problems, namely, the data interpolation prob- lem in the context of depth computation both for images and for videos, and the problem of the estimation of the apparent movement of objects in ...
  • Sadek, Rida (Universitat Pompeu Fabra, 2012-12-07)
    Video editing and object recognition are two significant fields in computer vi- sion: the first has remarkably assisted digital production and post-production tasks of a digital video footage; the second is considered ...
  • Andreu, Fuensanta; Caselles, Vicente; Díaz, Jesus Ildefonso; Mazón, José (Elsevier, 2002)
    We prove the existence of a finite extinction time for the solutions of the Dirichlet problem for the total variation flow. For the Neumann problem, we prove that the solutions reach the average of its initial datum in ...
  • Caselles, Vicente; Chambolle, Antonin; Novaga, Matteo (European Mathematical Society (EMS), 2010)
    We show that generically the subsets of RN with finite volume RN have a unique Cheeger set, in the sense that there always exists a nearby set which has a unique Cheeger set. We also prove that Cheeger sets are C1,1, when ...
  • Andreu, Fuensanta; Ballester, Coloma; Caselles, Vicente; Mazón, José (Elsevier, 2001)
    We introduce a new concept of solution for the Dirichlet problem for the total variational flow named entropy solution. Using Kruzhkov's method of doubling variables both in space and in time we prove uniqueness and a ...
  • Bellettini, Giovanni; Caselles, Vicente; Novaga, Matteo (Elsevier, 2002)
    In this paper, we study the minimizing total variation flow ut=div(Du/∣Du∣) in N for initial data u0 in Lloc1(N), proving an existence and uniqueness result. Then we characterize all bounded sets Ω of finite perimeter in ...
  • Ballester, Coloma; Caselles, Vicente; Monasse, Pascal (EDP Sciences, 2003)
    In [CITE], Kronrod proves that the connected components of isolevel sets of a continuous function can be endowed with a tree structure. Obviously, the connected components of upper level sets are an inclusion tree, and the ...
  • Bellettini, Giovanni; Caselles, Vicente; Chambolle, Antonin; Novaga, Matteo (Elsevier, 2009)
    We prove the existence of a volume preserving crystalline mean curvature flat flow starting from a compact convex set and its convergence, modulo a time-dependent translation, to a Wulff shape with the corresponding volume. ...
  • Caselles, Vicente; Miranda, Michele; Novaga, Matteo (Elsevier, 2010)
    The aim of this paper is to study the isoperimetric problem with fixed volume inside convex sets and other related geometric variational problems in the Gauss space, in both the finite and infinite dimensional case. We ...
  • Alter, François; Caselles, Vicente (Springer, 2009)
    We prove that if C C RN is an open bounded convex set, then there is only one Cheeger set inside C and it is convex. A Cheeger set of C is a set which minimizes the ratio perimeter over volume among all subsets of C.
  • Arias Martínez, Pablo (Universitat Pompeu Fabra, 2013-10-18)
    In this thesis we tackle two problems which deal with filling-in the information in a region of an image or a video, where the data is either missing or has to be replaced. These problems have applications in the context ...

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