A discontinuous finite element method for image denoising

Authors:
Zhaozhong Wang;Feihu Qi;Fugen Zhou
Affiliations:
Image Processing Center, Beihang University, Beijing, China;Dept. Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai, China;Image Processing Center, Beihang University, Beijing, China
Venue:
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Year:
2006

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Abstract

Discontinuous finite element methods are powerful mathematical tools for solving partial differential equations with discontinuous solutions. In this paper such a method is presented to denoise digital images, while preserving discontinuous image patterns like edges and corners. This method is theoretically superior to the commonly used anisotropic diffusion approach in many aspects such as convergence and robustness. Denoising experiments are provided to demonstrate the effectiveness of this method.