Weighted lp Norm Sparse Error Constraint Based ADMM for Image Denoising
Joint Authors
Xu, Keqiang
Xu, Jiucheng
Wang, Nan
Xu, Zhanwei
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In the process of image denoising, the accurate prior knowledge cannot be learned due to the influence of noise.
Therefore, it is difficult to obtain better sparse coefficients.
Based on this consideration, a weighted lp norm sparse error constraint (WPNSEC) model is proposed.
Firstly, the suitable setting of power p in the lp norm is made a detailed analysis.
Secondly, the proposed model is extended to color image denoising.
Since the noise of RGB channels has different intensities, a weight matrix is introduced to measure the noise levels of different channels, and a multichannel weighted lp norm sparse error constraint algorithm is proposed.
Thirdly, in order to ensure that the proposed algorithm is tractable, the multichannel WPNSEC model is converted into an equality constraint problem solved via alternating direction method of multipliers (ADMM) algorithm.
Experimental results on gray image and color image datasets show that the proposed algorithms not only have higher peak signal-to-noise ratio (PSNR) and feature similarity index (FSIM) but also produce better visual quality than competing image denoising algorithms.
American Psychological Association (APA)
Xu, Jiucheng& Wang, Nan& Xu, Zhanwei& Xu, Keqiang. 2019. Weighted lp Norm Sparse Error Constraint Based ADMM for Image Denoising. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1194259
Modern Language Association (MLA)
Xu, Jiucheng…[et al.]. Weighted lp Norm Sparse Error Constraint Based ADMM for Image Denoising. Mathematical Problems in Engineering No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1194259
American Medical Association (AMA)
Xu, Jiucheng& Wang, Nan& Xu, Zhanwei& Xu, Keqiang. Weighted lp Norm Sparse Error Constraint Based ADMM for Image Denoising. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1194259
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194259