Multi-dimensional WFM filter: an application to color image restoration

Abstract

A multi-dimensional weighted fuzzy mean (MWFM) filter used in color image restoration is proposed and analyzed. MWFM is an extension of the weighted fuzzy mean (WFM) filter obtained by embedding a fuzzy detector and a dynamic selection procedure into WFM to overcome the drawback of WFM in detail signal preservation. The fuzzy detector uses two fuzzy intervals and refers the WFM-filtered outputs to detect the amplitude of impulse noise which will be used in the dynamic selection procedure. Using the dynamic selection approach, MWFM not only preserves the high stability and performance of WFM when removing heavy additive impulse noise, but also improves the performance of WFM on light additive impulse noise.