Browsing by Author "Bertalmio, Marcelo"
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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 Filling-in by joint interpolation of vector fields and gray levels(2000-04) Ballester, Coloma; Bertalmio, Marcelo; Caselles, Vicent; Sapiro, Guillermo; Verdera, J.Item Global geometric demosaicking(University of Minnesota. Institute for Mathematics and Its Applications, 2008-04) Ferradans, Sira; Bertalmio, Marcelo; 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 Movie denoising by average of warped lines(2006-09) Bertalmio, Marcelo; Caselles, Vicent; Pardo, AlvaroItem Navier-Stokes, Fluid Dynamics, and Image and Video Inpainting(2001-06) Bertalmio, Marcelo; Bertozzi, Andrea L.; Sapiro, GuillermoImage inpainting involves filling in part of an image or video using information from the surrounding area. Applications include the restoration of damaged photographs and movies and the removal of selected objects. In this paper, we introduce a class of automated methods for digital inpainting. The approach uses ideas from classical fluid dynamics to propagate isophote lines continuously from the exterior into the region to be inpainted. The main idea is to think of the image intensity as a `stream function' for a two-dimensional incompressible flow. The Laplacian of the image intensity plays the role of the vorticity of the fluid; it is transported into the region to be inpainted by a vector field defined by the stream function. The resulting algorithm is designed to continue isophotes while matching gradient vectors at the boundary of the inpainting region. The method is directly based on the Navier-Stokes equations for fluid dynamics, which has the immediate advantage of well-developed theoretical and numerical results. This is a new approach for introducing ideas from computational fluid dynamics into problems in computer vision and image analysis.Item Region based segmentation using the tree of shapes(2005-01) Cardelino, Juan; Randall, Gregory; Bertalmio, Marcelo; Caselles, VicentItem Simultaneous structure and texture image inpainting(2002-07) Bertalmio, Marcelo; Vese, Luminita; Sapiro, Guillermo; Osher, StanleyAn algorithm for the simultaneous filling-in of texture and structure in regions of missing image information is presented in this paper. The basic idea is to first decompose the image into the sum of two functions with different basic characteristics, and then reconstruct each one of these functions separately with structure and texture filling-in algorithms. The first function used in the decomposition is of bounded variation, representing the underlying image structure, while the second function captures the texture and possible noise. The region of missing information in the bounded variation image is reconstructed using image inpainting algorithms, while the same region in the texture image is filled-in with texture synthesis techniques. The original image is then reconstructed adding back these two sub-images. The novel contribution of this paper is then in the combination of these three previously developed components, image decomposition with inpainting and texture synthesis, which permits the simultaneous use of filling-in algorithms that are suited for different image characteristics. Examples on real images show the advantages of this proposed approach.Item Structure and texture filling-in of missing image blocks in wireless transmission and compression applications(2001-04) Rane, Shantanu D.; Sapiro, Guillermo; Bertalmio, MarceloAn approach for filling-in blocks of missing data in wireless image transmission is presented in this paper. When compression algorithms such as JPEG are used as part of the wireless transmission process, images are first tiled into blocks of 8 × 8 pixels. When such images are transmitted over fading channels, the effects of noise can kill entire blocks of the image. Instead of using common retransmission query protocols, we aim to reconstruct the lost data using correlation between the lost block and its neighbors. If the lost block contained structure, it is reconstructed using an image inpainting algorithm, while texture synthesis is used for the textured blocks. The switch between the two schemes is done in a fully automatic fashion based on the surrounding available blocks. The performance of this method is tested for various images and combinations of lost blocks. The viability of this method for image compression, in association with lossy JPEG, is also discussed.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 Unifying Framework for Image Inpainting(University of Minnesota. Institute for Mathematics and Its Applications, 2009-06) Bugeau, Aurélie; Bertalmio, Marcelo; Caselles, Vicent; Sapiro, GuillermoItem Variational problems and partial differential equations on implicit surfaces: The framework and examples in image processing and pattern formation(2000-06) Bertalmio, Marcelo; Cheng, Li-Tien; Osher, Stanley; Guillermo, SapiroItem Video inpainting of occluding and occluded objects(2005-01) Patwardhan, Kedar A.; Sapiro, Guillermo; Bertalmio, Marcelo