Research on Properties and Convergence of Novel Diffusion-reaction Filter

摘要

This paper studies diffusion-reaction filter. A digital diffusion-reaction filter based on Nordstrom energy functional was proposed with a redefined control function, which differs from the most statistical filters. We proved some properties and convergence of the filter in detail. The experiments show that the denoised image has higher peak signal to noise ratio and Structural Similarity (SSIM) with better visual effect.