On morphological openings and closings of signals in shaped noise

Author

Sidiropoulos, N.D. ; Baras, John S. ; Berenstein, C.A.

Author_Institution

Dept. of Electr. Eng., Maryland Univ., College Park, MD, USA

Volume

1

fYear

1995

fDate

23-26 Oct 1995

Firstpage

518

Abstract

We have shown previously that morphological openings and closings can be viewed as consistent MAP estimators of morphologically smooth binary image signals immersed in i.i.d. union (clutter) noise, or suffering from i.i.d. random dropouts. 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 a geometric structure; surprisingly, it turns out that this affects neither the optimality nor the consistency of these filters

Keywords

clutter; filtering theory; image processing; mathematical morphology; maximum likelihood estimation; noise; IID random dropouts; IID union clutter; IID union noise; MAP estimators; geometric constraints; geometric structure; morphological closings; morphological constraints; morphological filter; morphological openings; morphologically smooth binary image signals; noise model; shaped noise; Casting; Educational institutions; Extraterrestrial measurements; Filtering theory; Filters; Lattices; Noise shaping; Power measurement; Random variables; Solid modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1995. Proceedings., International Conference on

Conference_Location

Washington, DC

Print_ISBN

0-8186-7310-9

Type

conf

DOI

10.1109/ICIP.1995.529760

Filename

529760