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

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

Title : Further results on MAP Optimality and Strong Consistency of Certain Classes of Morphological Filters
Authors :
Berenstein, Carlos A
Sidiropoulos, N D
Baras, John, S.
Conference : IEEE Transactions on Image Processing Vol. 5, No. 5, pp. 762-764
Date: May 01 - May 01, 1996

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.

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