Irregular to regular sampling, denoising and deconvolution

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  • dc.contributor.author Facciolo Furlan, Gabrieleca
  • dc.contributor.author Almansa, Andrésca
  • dc.contributor.author Aujol, Jean-Françoisca
  • dc.contributor.author Caselles, Vicenteca
  • dc.date.accessioned 2011-07-12T07:03:33Z
  • dc.date.available 2011-07-12T07:03:33Z
  • dc.date.issued 2009ca
  • dc.description.abstract 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 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.
  • dc.format.mimetype application/pdfca
  • dc.identifier.citation Facciolo G, Almansa A, Aujol JF, Caselles V. Irregular to regular sampling, denoising, and deconvolution. Multiscale Model Simul. 2009; 7(4): 1574-1608. DOI 10.1137/080719443
  • dc.identifier.doi http://dx.doi.org/10.1137/080719443
  • dc.identifier.issn 1540-3459
  • dc.identifier.uri http://hdl.handle.net/10230/12401
  • dc.language.iso engca
  • dc.publisher SIAM (Society for Industrial and Applied Mathematics)ca
  • dc.relation.ispartof Multiscale Modeling & Simulation. 2009; 7(4): 1574-1608
  • dc.rights © Society for Industrial and Applied Mathematicsca
  • dc.rights.accessRights info:eu-repo/semantics/openAccess
  • dc.subject.keyword Total variation
  • dc.subject.keyword Variational methods
  • dc.subject.keyword Satellite images
  • dc.subject.keyword Images restoration
  • dc.subject.other Imatges -- Anàlisi -- Models matemàtics
  • dc.subject.other Imatges -- Processament -- Matemàtica
  • dc.title Irregular to regular sampling, denoising and deconvolutionca
  • dc.type info:eu-repo/semantics/articleca
  • dc.type.version info:eu-repo/semantics/acceptedVersion