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

Type: 
Journal ArticleArticles in refereed journals
Authored by:
Sidiropoulos, N D., Baras, John S., Berenstein, Carlos A.
Publication date:
May 1996
Journal:
IEEE Transactions on Image Processing, Vol. 5, No. 5, pp. 762-764
Full Text Paper: 
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.