Fuzzy stack filtering under structural constraints
Akira Taguchi, Susumu Takaku · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1999
Rank-order based filters have received considerable attention due to their inherent outlier rejection and detail preservation properties. One of important rank-order based filters is stack filters. There are two different approaches to design of stack filters. One might be called the structural approach, while the other might be called the estimation approach. On the other hand, we have proposed fuzzy stack filter in order to extend the class of stack filters. Fuzzy stack filters are very important for signal processing, because these filters include FIR filters and weighted median filters. In this paper, we develop an approach for finding optimal fuzzy stack filters under the structural constraints. The noise attenuation of fuzzy stack filters is studied. Finally, we apply the proposed fuzzy stack filters to image restoration problem.