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Browsing Articles (Departament de Tecnologies de la Informació i les Comunicacions) by Author "Caselles, Vicente"

Browsing Articles (Departament de Tecnologies de la Informació i les Comunicacions) by Author "Caselles, Vicente"

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  • Cardelino, Juan; Caselles, Vicente; Bertalmío, Marcelo; Randall, Gregory (SIAM (Society for Industrial and Applied Mathematics), 2013)
    We present a novel segmentation algorithm based on a hierarchical representation of images. The main contribution of this work is to explore the capabilities of the a contrario reasoning when applied to the segmentation ...
  • Andreu, Fuensanta; Caselles, Vicente; Mazón, José (European Mathematical Society (EMS), 2002)
    We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A typical example of energy functional we ...
  • Ferradans Ramonde, Sira; Bertalmío, Marcelo; Provenzi, Edoardo; Caselles, Vicente (Institute of Electrical and Electronics Engineers (IEEE), 2011)
    Tone Mapping is the problem of compressing the range of a High-Dynamic Range image so that it can be displayed in a Low-Dynamic Range screen, without losing or introducing novel details: The final image should produce in ...
  • Ballester, Coloma; Bertalmío, Marcelo; Caselles, Vicente; Garrido Ostermann, Luis; Marques, Adrián; Ranchin, Florent (Institute of Electrical and Electronics Engineers (IEEE), 2007)
    Video is usually acquired in interlaced format, where each image frame is composed of two image fields, each field/nholding same parity lines. However, many display devices require progressive video as input; also, many ...
  • Igual, Laura; Preciozzi, Javier; Garrido, Luís; Almansa, Andrés; Caselles, Vicente; Rougé, Bernard (AIMS American Institute of Mathematical Sciences, 2007)
    In this work we propose a new automatic methodology for computing accurate digital elevation models (DEMs) in urban environments from low baseline stereo pairs that shall be available in the future from a new kind of earth ...
  • Ferradans Ramonde, Sira; Bertalmío, Marcelo; Caselles, Vicente (Institute of Electrical and Electronics Engineers (IEEE), 2009)
    Demosaicking is a particular case of interpolation problems where, from a scalar image in which each pixel has either the red, the green or the blue component, we want to interpolate the full-color image. State-of-the-art ...
  • Facciolo Furlan, Gabriele; Almansa, Andrés; Aujol, Jean-François; Caselles, Vicente (SIAM (Society for Industrial and Applied Mathematics), 2009)
    We propose a restoration algorithm for band limited images that considers irregular/n(perturbed) sampling, denoising, and deconvolution. We explore the application of a family of/nregularizers that allow to control the ...
  • 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 ...
  • Andreu, Fuensanta; Caselles, Vicente; Díaz, Jesus Ildefonso; Mazón, Jose (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 ...
  • 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 ...
  • Bellettinia, 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.

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