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Total generalized variation and shearlet transform based Poissonian image deconvolution

  • Xinwu LiuEmail author
Article
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Abstract

Integrating the advantages of total generalized variation and shearlet transform, this article introduces a hybrid regularizers scheme for deconvolving Poissonian image. Computationally, a highly efficient alternating minimization algorithm associated with variable splitting approach is described to obtain the optimal solution in detail. Illustrationally, in comparison with several current state-of-the-art numerical methods, numerical simulations consistently demonstrate the outstanding performance of our proposed approach to deblurring Poissonian image, in terms of both restoration accuracy and feature-preserving ability.

Keywords

Image deconvolution Poisson noise Total generalized variation Shearlet transform Alternating minimization method 

Notes

Acknowledgments

The author would like to thank the editors and anonymous reviewers for their helpful comments and valuable suggestions.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Mathematics and Computational ScienceHunan University of Science and TechnologyXiangtanChina

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