Statistical analysis of space-varying morphological openings with flat structuring elements

Author

Chen, Chu-Song ; WU, JA-LING ; Hung, Yi-Ping

Author_Institution

Dept. of Comput. Sci. & Inf. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

44

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

1010

Lastpage

1014

Abstract

The statistical behavior of a special type of morphological operation, the space-varying opening, is analyzed and investigated. The major distinction between the space-invariant morphological operation and the space-varying one is that the structuring element corresponding to each position in the space-invariant operation is the same, but the structuring element corresponding to each position in the space-varying operation may be different. A regular statistical analysis method, which was originally designed for the analysis of the space-invariant opening, is applied and generalized to the analysis of the space-varying one. For the filtering of a noisy step edge, some comparative analytic results are obtained revealing that edge-preserving ability can be improved by the use of the space-varying opening

Keywords

edge detection; filtering theory; mathematical morphology; statistical analysis; edge-preserving ability; filtering; flat structuring elements; morphological operation; noisy step edge; space-invariant morphological operation; space-varying morphological openings; statistical analysis; 1f noise; Filtering; Finite impulse response filter; Fractals; Gaussian noise; Geometry; Morphological operations; Parametric statistics; Statistical analysis; Stochastic processes;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.492558

Filename

492558