New Results on Optimality and Consistency of Morphological Openings and Closings

New Results on Optimality and Consistency of Morphological Openings and Closings

Title : New Results on Optimality and Consistency of Morphological Openings and Closings
Authors :
Berenstein, Carlos A
Sidiropoulos, N D
Baras, John, S.
Conference : The Morphological Image Processing and Random Image Modeling Vol. 2568, pp. 118-122
Date: July 10 - July 11, 1995

It has been recently shown that morphological openings and closings can be viewed as consistent MAP estimators of morphologically smooth signals in i.i.d. noise. We revisit this viewpoint under a different set of assumptions, which allows the explicit incorporation of geometric and morphological constraints into the noise model, i.e., the noise may now exhibit geometric structure; surprisingly, it turns out that this affects neither the optimality nor the consistency of these filters.

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