Statistical analysis of the median based multi-shell order-statistics filters

Abstract

The multi-shell median filters have been shown to be effective in preserving image details as well as in the suppression of impulsive noise. In this paper, the statistical analysis of a general class of median based multi-shell order-statistics filters is presented. Using statistical threshold decomposition, together with a tri-tree structure, the statistical properties of the filters were derived. Based on the results, a 2-D nonlinear filter which is of good compromise between noise attenuation and detail preservation to fit various applications can be obtained.<>