Further results on MAP optimality and strong consistency of certain classes of morphological filters.

Sidiropoulos, N D; Baras, J S; Berenstein, C A · IEEE Trans Image Process · 1996

basic_science · Level V

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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.