Fuzzy center weighted median filters

Abstract

Stack filters arc a class of nonlinear filters, first introduced by Wedcnt et. al. Stack filters perform well in many situations where linear filters fail. Stack fillers include rank order fillers, morphological fillers and weighted median fillers. The stack filter is defined by a Boolean function. The output of Boolean functions is restricted two values (i.e., "0" or "1"), Intuitively, one would expect better performance for stack filters, if the output of Boolean functions is defined from 0 to 1 continuously. We call this Boolean functions fuzzy Boolean functions. We discuss about fuzzy center weighted median (FCWM) filters which is one of the simplest fuzzy stack filters in this paper. Two design methods are shown in this paper.