Further results on MAP Optimality and Strong Consistency of Certain Classes of Morphological Filters

N.D. Sidiropoulos, J.S. Baras and C.A. Berenstein

IEEE Transactions on Image Processing, Vol. 5, No. 5, pp. 762-764, May 1996.

Abstract

Morphological openings and closings can be viewed as consistent MAP estimators of smooth random binary image signals immersed in i.i.d. clutter, or suffering from i.i.d. random dropouts. We revisit this viewpoint under much more general assumptions and show that, quite surprisingly, the above interpretation is still valid.