Browsing by Author "Caselles, Vicent"
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Item An analysis of visual adaptation and contrast perception for a fast tone mapping operator(University of Minnesota. Institute for Mathematics and Its Applications, 2009-10) Ferradans, Sira; Provenzi, Edoardo; Bertalmio, Marcelo; Caselles, VicentItem Exemplar-Based Interpolation of Sparsely Sampled Images(University of Minnesota. Institute for Mathematics and Its Applications, 2009-06) Facciolo, Gabriele; Arias, Pablo; Caselles, Vicent; Sapiro, GuillermoItem Filling-in by joint interpolation of vector fields and gray levels(2000-04) Ballester, Coloma; Bertalmio, Marcelo; Caselles, Vicent; Sapiro, Guillermo; Verdera, J.Item Flux-gradient and source term balancing for certain high resolution shock-capturing schemes(2006-10) Caselles, Vicent; Donat, Rosa; Haro, GloriaItem Global geometric demosaicking(University of Minnesota. Institute for Mathematics and Its Applications, 2008-04) Ferradans, Sira; Bertalmio, Marcelo; Caselles, VicentItem Gradient-based image fusion for HDR creation in dynamic scenes(University of Minnesota. Institute for Mathematics and Its Applications, 2011-06) Ferradans, Sira; Bertalmío, Marcelo; Provenzi, Edoardo; Caselles, VicentItem Image inpainting(1999-12) Bertalmio, Marcelo; Sapiro, Guillermo; Caselles, Vicent; Ballester, ColomaItem Inpainting surface holes(2003-01) Verdera, Joan; Caselles, Vicent; Bertalmio, Marcelo; Sapiro, GuillermoAn algorithm for filling-in surface holes is introduced in this paper. The basic idea is to represent the surface of interest in implicit form, and fill-in the holes with a system of geometric partial differential equations derived from image inpainting algorithms. The framework and examples with synthetic and real data are presented.Item Morse and drainage description and encoding of image(2002-10) Caselles, Vicent; Sapiro, Guillermo; Solé, AndresIn this paper we develop and analyze basic geometric structures for the topographic representation of images. One component of the geometric description is based on the Morse structure of the image, while a second one is connected to its drainage structure. These fundamental descriptors could be used as building blocks for a geometric multiscale representation of images in general and Digital Elevation Models (DEM) in particular. The topographic significance of the Morse and drainage structures of DEMs suggests that they can be used as the basis of an efficient encoding scheme. Therefore, we combine this geometric representation with partial differential equations based interpolation algorithms and lossless data compression techniques to develop a compression scheme for DEM. This algorithm permits to obtain compression results while controlling the maximum error in the decoded elevation map, a property that is necessary for the majority of applications dealing with DEM. We present the underlying theory and compression results for standard DEM data.Item Morse description and geometric encoding of digital elevation maps(2002-06) Sole, Andres; Caselles, Vicent; Sapiro, Guillermo; Arandiga, FranciscoTwo complementary geometric structures for the topographic representation of an image are developed in this work. The first one computes a description of the Morse-topological structure of the image, while the second one computes a simplified version of its drainage structure. The topographic significance of the Morse and drainage structures of Digital Elevation Maps (DEM) suggests that they can been used as the basis of an efficient encoding scheme. As an application we combine this geometric representation with an interpolation algorithm and lossless data compression schemes to develop a compression scheme for DEM. This algorithm achieves high compression while controlling the maximum error in the decoded elevation map, a property that is necessary for the majority of applications dealing with DEM. We present the underlying theory and compression results for standard DEM data.Item Movie denoising by average of warped lines(2006-09) Bertalmio, Marcelo; Caselles, Vicent; Pardo, AlvaroItem On geometric variational models for inpainting surface holes(2005-02) Caselles, Vicent; Haro, G.; Sapiro, Guillermo; Verdera, J.Item On geometric variational models for inpainting surface holes(2005-01) Caselles, Vicent; Haro, Gloria; Sapiro, Guillermo; Verdera, JoanItem Region based segmentation using the tree of shapes(2005-01) Cardelino, Juan; Randall, Gregory; Bertalmio, Marcelo; Caselles, VicentItem Restoration and zoom of irregularly sampled, blurred and noisy images by accurate total variation minimization with local constraints(2005-01) Almansa, Andres; Caselles, Vicent; Haro, Gloria; Rougé, BernardItem Some qualitative properties for the total variational flow(2000-12) Andreu, F.; Caselles, Vicent; Diaz, J.I.; Mazon, J.M.We prove the existence of a finite extinction time for the solutions of the Dirichiet problem for the total variational flow. For the Neumann problem, we prove that the solutions reach the average of its initial datum in finite time. The asymptotic profile of the solutions of the Dirichlet problem is also studied. It is shown that the profiles are non zero solutions of an eigenvalue type problem which seems to be unexplored in the previous literature. The propagation of the support is analyzed in the radial case showing a behaviour enterely different to the case of the problem associated to the p-Laplacian operator. Finally, the study of the radially symmetric case allows us to point out other qualitative properties which are peculiar of this special class of quasilinear equations.Item TSTM: A two-stage tone mapper combining visual adaptation and local contrast enhancement(University of Minnesota. Institute for Mathematics and Its Applications, 2009-05) Ferradans, Sira; Provenzi, Edoardo; Bertalmio, Marcelo; Caselles, VicentItem A TV based restoration model with local constraints(2006-05) Almansa, Andres; Ballester, Coloma; Caselles, Vicent; Haro, G.Item A Unifying Framework for Image Inpainting(University of Minnesota. Institute for Mathematics and Its Applications, 2009-06) Bugeau, Aurélie; Bertalmio, Marcelo; Caselles, Vicent; Sapiro, GuillermoItem A Variational Framework for Exemplar-Based Image Inpainting(University of Minnesota. Institute for Mathematics and Its Applications, 2010-04) Arias, Pablo; Facciolo, Gabriele; Caselles, Vicent; Sapiro, Guillermo