Statistical properties of soft morphological filters
Lasse Koskinen, Jaakko T. Astola · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1992
In this paper, statistical properties of standard and soft morphological filters are analyzed using stack filter representation. An asymptotically tight bounds are derived for the outputs of two-dimensional morphological filters. It is shown that soft morphological filters are less sensitive to noise than standard flat morphological filters. Simulation results illustrating this behavior are presented.