Noise Removal Based on the Variation of Digitized Energy

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.

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