![](/images/graphics-bg.png)
An Alternative Variational Framework for Image Denoising
Joint Authors
Ogada, Elisha Achieng
Wu, Boying
Guo, Zhichang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-05
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We propose an alternative framework for total variation based image denoising models.
The model is based on the minimization of the total variation with a functional coefficient, where, in this case, the functional coefficient is a function of the magnitude of image gradient.
We determine the considerations to bear on the choice of the functional coefficient.
With the use of an example functional, we demonstrate the effectiveness of a model chosen based on the proposed consideration.
In addition, for the illustrative model, we prove the existence and uniqueness of the minimizer of the variational problem.
The existence and uniqueness of the solution associated evolution equation are also established.
Experimental results are included to demonstrate the effectiveness of the selected model in image restoration over the traditional methods of Perona-Malik (PM), total variation (TV), and the D-α-PM method.
American Psychological Association (APA)
Ogada, Elisha Achieng& Guo, Zhichang& Wu, Boying. 2014. An Alternative Variational Framework for Image Denoising. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1015103
Modern Language Association (MLA)
Ogada, Elisha Achieng…[et al.]. An Alternative Variational Framework for Image Denoising. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1015103
American Medical Association (AMA)
Ogada, Elisha Achieng& Guo, Zhichang& Wu, Boying. An Alternative Variational Framework for Image Denoising. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1015103
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015103