Stack filter design: a structural approach

A new approach is developed for finding the optimal stack filter that minimizes noise subject to constraints on its structural behavior. Based on the output moments of stack filters, it is proven that the optimal stack filter is a combination of the median filter, which has the same window width as the stack filter, and a set of maximum and minimum filters, which are attributed to the structural constraints. Design examples for 1-D signal processing and image processing are provided.<
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