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A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration
Joint Authors
Zeng, Weili
Lu, Xiaobo
Tan, Xianghua
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-02
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A class of nonlinear fourth-order telegraph-diffusion equations (TDE) for image restoration are proposed based on fourth-order TDE and bilateral filtering.
The proposed model enjoys the benefits of both fourth-order TDE and bilateral filtering, which is not only edge preserving and robust to noise but also avoids the staircase effects.
The existence, uniqueness, and stability of the solution for our model are proved.
Experiment results show the effectiveness of the proposed model and demonstrate its superiority to the existing models.
American Psychological Association (APA)
Zeng, Weili& Lu, Xiaobo& Tan, Xianghua. 2011. A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-456537
Modern Language Association (MLA)
Zeng, Weili…[et al.]. A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration. Journal of Applied Mathematics No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-456537
American Medical Association (AMA)
Zeng, Weili& Lu, Xiaobo& Tan, Xianghua. A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-456537
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456537