Alternating method based on framelet l0-norm and TV regularization for image restoration. Issue 6 (3rd June 2019)

• Record Type: Journal Article
• Authors: Liu, Jingjing; Ni, Guoxi; Yan, Shaowen
• Is Part Of: Inverse problems in science and engineering. Volume 27:Issue 6(2019)
• Page Start: 790
• Page End: 807
• Publication Date: 2019-06-03
• Subjects: Image restoration -- augmented lagrangian method -- l0 regularization -- framelet transform -- proximity operator; 65N22 -- 68U10 -- 65N21; Engineering mathematics -- Periodicals; Inverse problems (Differential equations) -- Periodicals; 620.001515357
• DOI: 10.1080/17415977.2018.1500569
• Languages: English
• ISSNs: 1741-5977

Abstract

ABSTRACT: This paper presents an efficient alternating method for image deblurring and denoising, it is based on our new model with TV norm to denoise the deblurred image which is penalized by l 0 norm of the framelet transform. Our combinational algorithm performs deblurring and denoising alternately. We apply the proximity algorithm to solve the TV regularization for denoising part, and the mean doubly augmented Lagrangian (MDAL) method is used to solve l 0 minimization in the analysis-based sparsity for the deblurring part. Experimental results show that the proposed alternating minimization method is robust for a different type of blur and noise. We also do some comparisons with related existing methods to demonstrate that our method has a more significant effect.