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Mixed Higher Order Variational Model for Image Recovery
Joint Authors
Xiao, Liang
Xiu, Liancun
Liu, Pengfei
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A novel mixed higher order regularizer involving the first and second degree image derivatives is proposed in this paper.
Using spectral decomposition, we reformulate the new regularizer as a weighted L1-L2 mixed norm of image derivatives.
Due to the equivalent formulation of the proposed regularizer, an efficient fast projected gradient algorithm combined with monotone fast iterative shrinkage thresholding, called, FPG-MFISTA, is designed to solve the resulting variational image recovery problems under majorization-minimization framework.
Finally, we demonstrate the effectiveness of the proposed regularization scheme by the experimental comparisons with total variation (TV) scheme, nonlocal TV scheme, and current second degree methods.
Specifically, the proposed approach achieves better results than related state-of-the-art methods in terms of peak signal to ratio (PSNR) and restoration quality.
American Psychological Association (APA)
Liu, Pengfei& Xiao, Liang& Xiu, Liancun. 2014. Mixed Higher Order Variational Model for Image Recovery. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-508516
Modern Language Association (MLA)
Liu, Pengfei…[et al.]. Mixed Higher Order Variational Model for Image Recovery. Mathematical Problems in Engineering No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-508516
American Medical Association (AMA)
Liu, Pengfei& Xiao, Liang& Xiu, Liancun. Mixed Higher Order Variational Model for Image Recovery. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-508516
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508516