Journal of Applied Mathematics

A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration

Weili Zeng, Xiaobo Lu, and Xianghua Tan

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2011 (2011), Article ID 240370, 20 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331818617

Digital Object Identifier
doi:10.1155/2011/240370

Mathematical Reviews number (MathSciNet)
MR2820080

Zentralblatt MATH identifier
1223.94006

Citation

Zeng, Weili; Lu, Xiaobo; Tan, Xianghua. A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration. J. Appl. Math. 2011 (2011), Article ID 240370, 20 pages. doi:10.1155/2011/240370. https://projecteuclid.org/euclid.jam/1331818617


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