Noise removal based on the variation of digitized energy

Authors:
Qin Zhang;Jie Sun;Guoliang Xu
Affiliations:
School of Sciences, Beijing Information Science and Technology University, Beijing, China;School of Mathematical Sciences, Capital Normal University, Beijing, China;Computational Mathematics Institute, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China
Venue:
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Year:
2008

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Abstract

A general formulation based on the variation of digitized energy to denoise image is proposed in this paper. This method is different from classical variational method employed in image processing. For a digitized energy functional, we first compute the variation, then design algorithms leading to digital filters. Numerical experiments and comparative examples are thus carried out to verify the effectiveness of the proposed method, which is efficient, adaptive and easily implemented. Higher quality images can be obtained with characteristic singular features preserved. The method can be easily expanded to multichannel image denoising.