Title | ||
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Parametric PSF estimation based on predicted-SURE with $$\ell _1$$ ℓ 1 -penalized sparse deconvolution. |
Abstract | ||
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Point spread function (PSF) estimation plays an important role in blind image deconvolution. It has been shown that incorporating Wiener filter, minimization of the predicted Stein's unbiased risk estimate (p-SURE)unbiased estimate of predicted mean squared errorcould yield an accurate PSF estimate. In this paper, we provide a theoretical analysis for the PSF estimation error, which shows that the better deconvolution leads to more accurate PSF estimate. It motivates us to incorporate an 1-penalized sparse deconvolution into the p-SURE minimization, instead of the Wiener-type filtering. In particular, based on FISTAone of the most popular iterative 1-solvers, we evaluate the p-SURE for each update, by Jacobian recursion and Monte Carlo simulation. Numerical results of both synthetic and real experiments demonstrate the improvements in PSF estimate, and therefore, deconvolution performance. |
Year | DOI | Venue |
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2019 | 10.1007/s11760-018-1391-9 | SIGNAL IMAGE AND VIDEO PROCESSING |
Keywords | DocType | Volume |
Blind deconvolution,Parametric PSF estimation,Predicted Stein's unbiased risk estimate (p-SURE),<mml:msub><mml:mn>1</mml:mn></mml:msub>-based sparse deconvolution,Fast iterative soft-thresholding algorithm (FISTA) | Journal | 13.0 |
Issue | ISSN | Citations |
4.0 | 1863-1703 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Feng Xue | 1 | 15 | 6.03 |
Jiaqi Liu | 2 | 33 | 18.10 |
XiaoFeng Ai | 3 | 5 | 5.27 |