Math @ Duke

Publications [#264962] of Guillermo Sapiro
Papers Published
 Bertalmio, M; Vese, L; Sapiro, G; Osher, S, Image fillingin in a decomposition space,
IEEE International Conference on Image Processing, vol. 1
(2003),
pp. 853855
(last updated on 2017/12/11)
Abstract: An algorithm for the simultaneous fillingin 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 fillingin 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 filledin with texture synthesis techniques. The original image is then reconstructed adding back these two subimages. 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 fillingin algorithms that are suited for different image characteristics. The novelty in the approach is to perform fillingin in a domain different from the original given image space. Examples on real images show the advantages of this proposed approach.


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