IEEE Transactions on Circuits and Systems for Video Technology · 2019 · 94 citations · 55 references
ComputingComputer ScienceComputer VisionDigital ImagingMachine VisionImage ReconstructionImage RestorationBlind DeblurringBlind Image RestorationDeblurringImage DeblurringImage Super-resolutionSingle-image DeblurringSingle-image RestorationSuper-resolution
Blind image deblurring is a challenging problem in computer vision, which aims to restore both the blur kernel and the latent sharp image from only a blurry observation. Inspired by the prevalent self-example prior in image super-resolution, in this paper, we observe that a coarse enough image down-sampled from a blurry observation is approximately a low-resolution version of the latent sharp image. We prove this phenomenon theoretically and define the coarse enough image as a latent structure prior of the unknown sharp image. Starting from this prior, we propose to restore sharp images from the coarsest scale to the finest scale on a blurry image pyramid and progressively update the prior image using the newly restored sharp image. These coarse-to-fine priors are referred to as multi-scale latent structures (MSLSs). Leveraging the MSLS prior, our algorithm comprises two phases: 1) we first preliminarily restore sharp images in the coarse scales and 2) we then apply a refinement process in the finest scale to obtain the final deblurred image. In each scale, to achieve lower computational complexity, we alternately perform a sharp image reconstruction with fast local self-example matching, an accelerated kernel estimation with error compensation, and a fast non-blind image deblurring, instead of computing any computationally expensive non-convex priors. We further extend the proposed algorithm to solve more challenging non-uniform blind image deblurring problem. The extensive experiments demonstrate that our algorithm achieves the competitive results against the state-of-the-art methods with much faster running speed.
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The Split Bregman Method for L1-Regularized Problems
Tom Goldstein, Stanley Osher · SIAM Journal on Imaging Sciences · 2009 · 4.3K citations
An iterative technique for the rectification of observed distributions
L. B. Lucy · The Astronomical Journal · 1974 · 3.8K citations
Natural Sciences, Astronomy, Physics +10