Optimal weighted median filters under structural constraints

Abstract

An algorithm is developed for finding optimal weighted median (WM) filters which minimize noise subject to a predetermined set of structural constraints on the filter's behavior. Based on the derivation of the output moments of weighted medians, it is shown that optimal weighted medians with structural constraints may be found by solving a group of linear inequalities. One-dimensional applications are discussed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>