A Decomposition and Noise Removal Method Combining Diffusion Equation and Wave Atoms for Textured Images

摘要

We propose a new method that is aimed at denoising images having textures. The methodcombines a balanced nonlinear partial differential equation driven by optimal parameters, mathematical morphologyoperators, weighting techniques, and some recent works in harmonic analysis. Furthermore, the new schemedecomposes the observed image into three components that are well defined as structure/cartoon, texture, andnoise-background. Experimental results are provided to show the improved performance of our method for thetexture-preserving denoising problem.