Efficient and Effective Total Variation Image Super-Resolution : A Preconditioned Operator Splitting Approach
Joint Authors
Huang, Li-Li
Xiao, Liang
Wei, Zhi-Hui
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-21
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Super-resolution is a fusion process for reconstructing a high-resolution image from a set of low-resolution images.
This paper proposes a novel approach to image super-resolution based on total variation (TV) regularization.
We applied the Douglas-Rachford splitting technique to the constrained TV-based variational SR model which is separated into three subproblems that are easy to solve.
Then, we derive an efficient and effective iterative scheme, which includes a fast iterative shrinkage/thresholding algorithm for denoising problem, a very simple noniterative algorithm for fusion part, and linear equation systems for deblurring process.
Moreover, to speed up convergence, we provide an accelerated scheme based on precondition design of initial guess and forward-backward splitting technique which yields linear systems of equations with a nice structure.
The proposed algorithm shares a remarkable simplicity together with a proven global rate of convergence which is significantly better than currently known lagged diffusivity fixed point iteration algorithm and fast decoupling algorithm by exploiting the alternating minimizing approach.
Experimental results are presented to illustrate the effectiveness of the proposed algorithm.
American Psychological Association (APA)
Huang, Li-Li& Xiao, Liang& Wei, Zhi-Hui. 2011. Efficient and Effective Total Variation Image Super-Resolution : A Preconditioned Operator Splitting Approach. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-467520
Modern Language Association (MLA)
Huang, Li-Li…[et al.]. Efficient and Effective Total Variation Image Super-Resolution : A Preconditioned Operator Splitting Approach. Mathematical Problems in Engineering No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-467520
American Medical Association (AMA)
Huang, Li-Li& Xiao, Liang& Wei, Zhi-Hui. Efficient and Effective Total Variation Image Super-Resolution : A Preconditioned Operator Splitting Approach. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-467520
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467520