Nonconvex Compressed Sampling of Natural Images and Applications to Compressed MR Imaging
Joint Authors
Shao, Wenze
Deng, Haisong
Wei, Zhuihui
Source
ISRN Computational Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
There have been proposed several compressed imaging reconstruction algorithms for natural and MR images.
In essence, however, most of them aim at the good reconstruction of edges in the images.
In this paper, a nonconvex compressed sampling approach is proposed for structure-preserving image reconstruction, through imposing sparseness regularization on strong edges and also oscillating textures in images.
The proposed approach can yield high-quality reconstruction as images are sampled at sampling ratios far below the Nyquist rate, due to the exploitation of a kind of approximate l0 seminorms.
Numerous experiments are performed on the natural images and MR images.
Compared with several existing algorithms, the proposed approach is more efficient and robust, not only yielding higher signal to noise ratios but also reconstructing images of better visual effects.
American Psychological Association (APA)
Shao, Wenze& Deng, Haisong& Wei, Zhuihui. 2011. Nonconvex Compressed Sampling of Natural Images and Applications to Compressed MR Imaging. ISRN Computational Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-513428
Modern Language Association (MLA)
Shao, Wenze…[et al.]. Nonconvex Compressed Sampling of Natural Images and Applications to Compressed MR Imaging. ISRN Computational Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-513428
American Medical Association (AMA)
Shao, Wenze& Deng, Haisong& Wei, Zhuihui. Nonconvex Compressed Sampling of Natural Images and Applications to Compressed MR Imaging. ISRN Computational Mathematics. 2011. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-513428
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513428