Title :
Further results on MAP optimality and strong consistency of certain classes of morphological filters
Author :
Sidiropoulos, N.D. ; Baras, J.S. ; Berenstein, C.A.
Author_Institution :
Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA
fDate :
5/1/1996 12:00:00 AM
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
Keywords :
clutter; digital filters; interference (signal); mathematical morphology; maximum likelihood estimation; optimisation; random processes; MAP optimality; consistent MAP estimators; iid clutter; iid random dropouts; morphological closings; morphological filters; morphological openings; smooth random binary image signals; Casting; Extraterrestrial measurements; Filtering theory; Filters; Lattices; Power measurement; Random variables; Solid modeling; Upper bound; Working environment noise;
Journal_Title :
Image Processing, IEEE Transactions on
