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• W2951235734 abstract "One popular approach for blind deconvolution is to formulate a maximum a posteriori (MAP) problem with sparsity priors on the gradients of the latent image, and then alternatingly estimate the blur kernel and the latent image. While several successful MAP based methods have been proposed, there has been much controversy and confusion about their convergence, because sparsity priors have been shown to prefer blurry images to sharp natural images. In this paper, we revisit this problem and provide an analysis on the convergence of MAP based approaches. We first introduce a slight modification to a conventional joint energy function for blind deconvolution. The reformulated energy function yields the same alternating estimation process, but more clearly reveals how blind deconvolution works. We then show the energy function can actually favor the right solution instead of the no-blur solution under certain conditions, which explains the success of previous MAP based approaches. The reformulated energy function and our conditions for the convergence also provide a way to compare the qualities of different blur kernels, and we demonstrate its applicability to automatic blur kernel size selection, blur kernel estimation using light streaks, and defocus estimation." @default.
• W2951235734 created "2019-06-27" @default.
• W2951235734 creator A5001712391 @default.
• W2951235734 creator A5024545505 @default.
• W2951235734 date "2016-11-23" @default.
• W2951235734 modified "2023-09-23" @default.
• W2951235734 title "Convergence Analysis of MAP based Blur Kernel Estimation" @default.
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• W2951235734 doi "https://doi.org/10.48550/arxiv.1611.07752" @default.
• W2951235734 hasPublicationYear "2016" @default.
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