Adaptive type-2 fuzzy median filters for removal of impulsive noises [image denoising]

Summary form only given, as follows. Image detail preservation and impulse noise attenuation are not easy to simultaneously achieve in image restoration design. This study proposes a novel adaptive type-2 fuzzy median (type-2 FM) filter to accomplish these objects. The novel filter is mainly based on the uncertainty handling ability of the type-2 fuzzy sets to use the filtering behavior merits of two filters: the fuzzy median (FM) filter and the type-1 FM filter. On the design of a type-2 FM filter, the proposed method adopts a powerful scheme to extend the restriction on the derivation of membership functions by the FM filter, and a flexibility inference mechanism to improve the performance in the limited memory usage by the type-1 FM filter. Extensive simulation results illustrate that the type-2 FM filter not only possesses desirable robustness in suppressing noises but also outperforms other proposed filtering approaches.