A Logarithmic Image Prior for Blind Deconvolution

Perrone, Daniele; Favaro, Paolo (2015). A Logarithmic Image Prior for Blind Deconvolution. International Journal of Computer Vision, 117(2), pp. 159-172. Springer 10.1007/s11263-015-0857-2

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Blind Deconvolution consists in the estimation of a sharp image and a blur kernel from an observed blurry image. Because the blur model admits several solutions it is necessary to devise an image prior that favors the true blur kernel and sharp image. Many successful image priors enforce the sparsity of the sharp image gradients. Ideally the L0 “norm” is the best choice for promoting sparsity, but because it is computationally intractable, some methods have used a logarithmic approximation. In this work we also study a logarithmic image prior. We show empirically how well the prior suits the blind deconvolution problem. Our analysis confirms experimentally the hypothesis that a prior should not necessarily model natural image statistics to correctly estimate the blur kernel. Furthermore, we show that a simple Maximum a Posteriori formulation is enough to achieve state of the art results. To minimize such formulation we devise two iterative minimization algorithms that cope with the non-convexity of the logarithmic prior: one obtained via the primal-dual approach and one via majorization-minimization.

Item Type: Journal Article (Original Article)
Division/Institute: 08 Faculty of Science > Institute of Computer Science (INF) > Computer Vision Group (CVG)
08 Faculty of Science > Institute of Computer Science (INF)
UniBE Contributor: Perrone, Daniele and Favaro, Paolo
Subjects: 000 Computer science, knowledge & systems
500 Science > 510 Mathematics
ISSN: 0920-5691
Publisher: Springer
Language: English
Submitter: Paolo Favaro
Date Deposited: 29 Jun 2016 13:35
Last Modified: 23 Sep 2016 02:30
Publisher DOI: 10.1007/s11263-015-0857-2
BORIS DOI: 10.7892/boris.82453
URI: http://boris.unibe.ch/id/eprint/82453

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