Fast total variation-based image restoration using blockwise accelerated proximal gradient approach

Gang Xiao; Zifei Yan; Weigang Lv; Shan Liu

doi:10.1117/12.2305216

10 April 2018 Fast total variation-based image restoration using blockwise accelerated proximal gradient approach

Gang Xiao, Zifei Yan, Weigang Lv, Shan Liu

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Proceedings Volume 10615, Ninth International Conference on Graphic and Image Processing (ICGIP 2017); 106153D (2018) https://doi.org/10.1117/12.2305216
Event: Ninth International Conference on Graphic and Image Processing, 2017, Qingdao, China

Abstract

This paper proposes a blockwise accelerated proximal gradient (BAPG) approach. It chooses a block diagonal Lipschitz matrix in the generalized APG algorithm, such that the subproblems can be solved either by fast Fourier transform (FFT) or in closed forms. Experiments verify the great speed advantage of BAPG for total variation-based image restoration.

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Gang Xiao, Zifei Yan, Weigang Lv, and Shan Liu "Fast total variation-based image restoration using blockwise accelerated proximal gradient approach", Proc. SPIE 10615, Ninth International Conference on Graphic and Image Processing (ICGIP 2017), 106153D (10 April 2018); https://doi.org/10.1117/12.2305216

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KEYWORDS

Image restoration

Cameras

Convolution

Expectation maximization algorithms

Fourier transforms

Denoising

Image denoising

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