Block basis matrix implementation of the morphological open-closing and close-opening

Author

Ko, Sung-Jea ; Morales, Aldo ; Lee, Kyung-Hoon

Author_Institution

Dept. of Electron. Eng., Korea Univ., Seoul, South Korea

Volume

2

Issue

1

fYear

1995

Firstpage

7

Lastpage

9

Abstract

We propose a method for the real-time implementation of function processing (FP), open-closing (OC), and close-opening (CO) morphological operations. The proposed method is based on the block basis matrix (BBM), which is an extension of the basis matrix of Ko and Shridar (1990). A procedure to obtain the BBM is proposed. This matrix is skew symmetric, and some related properties lead to simplify the FP morphological operations. It is shown that the real-time calculation of open-closing and close-opening is accomplished by local matrix operations rather than cascade operations (opening/closing followed by closing/opening), thus eliminating delays and requiring less memory storage.<>

Keywords

filtering theory; mathematical morphology; mathematical operators; matrix algebra; block basis matrix; function processing; local matrix operations; morphological close-opening; morphological open-closing; morphological operations; real-time calculation; skew symmetric matrix; stack filter; Boolean functions; Delay; Filters; Gray-scale; Morphological operations; Symmetric matrices; Terminology;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.365518

Filename

365518