Journal of Computational Mathematics · 2012 · 17 citations · 32 references
ArtsVision ScienceComputer VisionDigital ImagingRestoration TheoryImage EnhancementImage QualityImage ReconstructionImage RestorationMotion BlurMotion CorrectionBlind DeblurringBlind DeconvolutionBlind Image RestorationCross-validationDeblurringImage DeblurringRegularizationSingle-image Deblurring
In this paper, we study two variational blind deblurring models for a single image. The first model is to use the total variation prior in both image and blur, while the second model is to use the frame based prior in both image and blur. The main contribution of this paper is to show how to employ the generalized cross validation (GCV) method efficiently and automatically to estimate the two regularization parameters associated with the priors in these two blind motion deblurring models. Our experimental results show that the visual quality of restored images by the proposed method is very good, and they are competitive with the tested existing methods. We will also demonstrate the proposed method is also very efficient.
32
Fundamentals of digital image processing
Computer Vision Graphics and Image Processing · 1989 · 4.7K citations
The Split Bregman Method for L1-Regularized Problems
Tom Goldstein, Stanley Osher · SIAM Journal on Imaging Sciences · 2009 · 4.3K citations