Image restoration with group sparse representation and low‐rank group residual learning

Cai, Zhaoyuan; Xie, Xianghua; Deng, Jingjing; Dou, Zengfa; Tong, Bo; Ma, Xiaoke

Abstract

Image restoration, as a fundamental research topic of image processing, is to reconstruct the original image from degraded signal using the prior knowledge of image. Group sparse representation (GSR) is powerful for image restoration; it however often leads to undesirable sparse solutions in practice. In order to improve the quality of image restoration based on GSR, the sparsity residual model expects the representation learned from degraded images to be as close as possible to the true representation. In this article, a group residual learning based on low‐rank self‐representation is proposed to automatically estimate the true group sparse representation. It makes full use of the relation among patches and explores the subgroup structures within the same group, which makes the sparse residual model have better interpretation furthermore, results in high‐quality restored images. Extensive experimental results on two typical image restoration tasks (image denoising and deblocking) demonstrate that the proposed algorithm outperforms many other popular or state‐of‐the‐art image restoration methods.

Citation

Cai, Z., Xie, X., Deng, J., Dou, Z., Tong, B., & Ma, X. (2024). Image restoration with group sparse representation and low‐rank group residual learning. IET Image Processing, 18(3), 741-760. https://doi.org/10.1049/ipr2.12982

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2023
• Online Publication Date: Nov 10, 2023
• Publication Date: Feb 28, 2024
• Deposit Date: Nov 14, 2023
• Publicly Available Date: Nov 15, 2023
• Journal: IET Image Processing
• Print ISSN: 1751-9659
• Electronic ISSN: 1751-9667
• Publisher: Institution of Engineering and Technology (IET)
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 3
• Pages: 741-760
• DOI: https://doi.org/10.1049/ipr2.12982
• Keywords: group residual learning, group sparse representation, low‐rank self‐representation, image restoration
• Public URL: https://durham-repository.worktribe.com/output/1928756