Nd. Sidiropoulos et al., FURTHER RESULTS ON MAP OPTIMALITY AND STRONG CONSISTENCY OF CERTAIN CLASSES OF MORPHOLOGICAL FILTERS, IEEE transactions on image processing, 5(5), 1996, pp. 762-764
Morphological openings and closings can be viewed as consistent MAP es
timators of smooth random binary image signals immersed in i.i.d. clut
ter, or suffering from i.i.d. random dropouts. We revisit this viewpoi
nt under much more general assumptions and show that, quite surprising
ly, the above interpretation is still valid.(1)