Mixed median filters and their properties
Artyom M. Grigoryan · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
A new concept of a mixed median filter that generalizes the traditional median filter is considered. These kinds of median filters unite the various filters using in signal and image processing, including the weighted median filters, order statistic filters, dilation and erosion of functions by the set. By means of the mixed median filters, the corresponding minimizing conditions for the order statistics are given. The threshold decomposition properties of the mixed median filter is considered to show that unlike stack filters the firsts are determined by different Boolean functions at the threshold levels. Representation of the mixed median filter and its basis statistical properties are studied.