Facciolo Furlan, GabrieleAlmansa, AndrésAujol, Jean-FrançoisCaselles, Vicente2011-07-122011-07-122009Facciolo G, Almansa A, Aujol JF, Caselles V. Irregular to regular sampling, denoising, and deconvolution. Multiscale Model Simul. 2009; 7(4): 1574-1608. DOI 10.1137/0807194431540-3459http://hdl.handle.net/10230/12401We 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 spectral behavior of the solution combined with the irregular to/nregular sampling algorithms proposed by H.G. Feichtinger, K. Gr¨ochenig, M. Rauth and T. Strohmer./nMoreover, the constraints given by the image acquisition model are incorporated as a set of local/nconstraints. And the analysis of such constraints leads to an early stopping rule meant to improve/nthe speed of the algorithm. Finally we present experiments focused on the restoration of satellite images, where the micro-vibrations are responsible of the type of distortions we are considering here. We will compare results of the proposed method with previous methods and show an extension to/nzoom.application/pdfeng© Society for Industrial and Applied MathematicsImatges -- Anàlisi -- Models matemàticsImatges -- Processament -- Matemàticainfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1137/080719443Total variationVariational methodsSatellite imagesImages restorationinfo:eu-repo/semantics/openAccess