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2011 A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration
Weili Zeng, Xiaobo Lu, Xianghua Tan
J. Appl. Math. 2011: 1-20 (2011). DOI: 10.1155/2011/240370


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.


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Weili Zeng. Xiaobo Lu. Xianghua Tan. "A Class of Fourth-Order Telegraph-Diffusion Equations for Image Restoration." J. Appl. Math. 2011 1 - 20, 2011.


Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1223.94006
MathSciNet: MR2820080
Digital Object Identifier: 10.1155/2011/240370

Rights: Copyright © 2011 Hindawi


Vol.2011 • 2011
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