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Space Variant Blind Image Restoration

Saima Ben Hadj 1 Laure Blanc-Féraud 1 Gilles Aubert 2 
1 MORPHEME - Morphologie et Images
CRISAM - Inria Sophia Antipolis - Méditerranée , IBV - Institut de Biologie Valrose : U1091, Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : We are interested in blind restoration of optical space variant blurred Poissonian images. For exam-ple, blur variation is due to refractive index mismatch in three-dimensional fluorescence microscopy or due to atmospheric turbulence in astrophysical images. In this work, the space variant point spread function (PSF) is approximated by a convex combination of a set of space invariant blurring functions. The latter is jointly estimated with the image by optimizing a given criterion including l1 and l2 norms for regularizing the image and the PSFs. We prove, in the continuous setting, the existence of a solution to this optimization problem. We then propose an alternating optimization algorithm based on a scaled gradient projection method. We show the efficiency of the proposed method on simulated and real optical images.
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Submitted on : Wednesday, December 17, 2014 - 3:56:31 PM
Last modification on : Thursday, September 1, 2022 - 4:05:42 AM
Long-term archiving on: : Monday, March 23, 2015 - 3:36:06 PM


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Saima Ben Hadj, Laure Blanc-Féraud, Gilles Aubert. Space Variant Blind Image Restoration . SIAM Journal on Imaging Sciences, 2014, 7, pp.2196 - 2225. ⟨10.1137/130945776⟩. ⟨hal-01096491⟩



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