Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization

Jianguang Zhu, Kai Li and Binbin Hao

Complexity, 2019, vol. 2019, 1-16

Abstract:

It has been proved that total generalized variation (TGV) can better preserve edges while suppressing staircase effect. In this paper, we propose an effective hybrid regularization model based on second-order TGV and wavelet frame. The proposed model inherits the advantages of TGV regularization and wavelet frame regularization, can eliminate staircase effect while protecting the sharp edge, and simultaneously has good capability of sparsely estimating the piecewise smooth functions. The alternative direction method of multiplier (ADMM) is employed to solve the new model. Numerical results show that our proposed model can preserve more details and get higher image visual quality than some current state-of-the-art methods.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3650128

DOI: 10.1155/2019/3650128

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