Poissonian Image Deconvolution via Sparse and Redundant Representations and Framelet Regularization
Joint Authors
Wang, Guoyou
Fang, Houzhang
Shi, Yu
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Poissonian image deconvolution is a key issue in various applications, such as astronomical imaging, medical imaging, and electronic microscope imaging.
A large amount of literature on this subject is analysis-based methods.
These methods assign various forward measurements of the image.
Meanwhile, synthesis-based methods are another well-known class of methods.
These methods seek a reconstruction of the image.
In this paper, we propose an approach that combines analysis with synthesis methods.
The method is proposed to address Poissonian image deconvolution problem by minimizing the energy functional, which is composed of a sparse representation prior over a learned dictionary, the data fidelity term, and framelet based analysis prior constraint as the regularization term.
The minimization problem can be efficiently solved by the split Bregman technique.
Experiments demonstrate that our approach achieves better results than many state-of-the-art methods, in terms of both restoration accuracy and visual perception.
American Psychological Association (APA)
Shi, Yu& Fang, Houzhang& Wang, Guoyou. 2014. Poissonian Image Deconvolution via Sparse and Redundant Representations and Framelet Regularization. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-507914
Modern Language Association (MLA)
Shi, Yu…[et al.]. Poissonian Image Deconvolution via Sparse and Redundant Representations and Framelet Regularization. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-507914
American Medical Association (AMA)
Shi, Yu& Fang, Houzhang& Wang, Guoyou. Poissonian Image Deconvolution via Sparse and Redundant Representations and Framelet Regularization. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-507914
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-507914