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Shearlet-Wavelet Regularized Semismooth Newton Iteration for Image Restoration
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Image normally has both dots-like and curve structures.
But the traditional wavelet or multidirectional wave (ridgelet, contourlet, curvelet, etc.) could only restore one of these structures efficiently so that the restoration results for complex images are unsatisfactory.
For the image restoration, this paper adopted a strategy of combined shearlet and wavelet frame and proposed a new restoration method.
Theoretically, image sparse representation of dots-like and curve structures could be achieved by shearlet and wavelet, respectively.
Under the L1 regularization, the two frame-sparse structures could show their respective advantages and efficiently restore the two structures.
In order to achieve superlinear convergence, this paper applied semismooth Newton method based on subgradient to solve objective functional without differentiability.
Finally, through numerical results, the effectiveness of this strategy was validated, which presented outstanding advantages for any individual frame alone.
Some detailed information that could not be restored in individual frame could be clearly demonstrated with this strategy.
American Psychological Association (APA)
Ding, Liang& Zhao, Xueru. 2015. Shearlet-Wavelet Regularized Semismooth Newton Iteration for Image Restoration. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074383
Modern Language Association (MLA)
Ding, Liang& Zhao, Xueru. Shearlet-Wavelet Regularized Semismooth Newton Iteration for Image Restoration. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1074383
American Medical Association (AMA)
Ding, Liang& Zhao, Xueru. Shearlet-Wavelet Regularized Semismooth Newton Iteration for Image Restoration. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1074383
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074383