Share Email Print
cover

Proceedings Paper

Characterization of translation-invariant elementary operators for gray-level morphology
Author(s): Gerald Jean Franc Banon
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

The four classes of mathematical morphology elementary operators: dilations, erosions, anti- dilations, and anti-erosions have proved to be of fundamental importance of the decomposition/representation of any mapping between complete lattices. In this paper, we are concerned with the characterization of translation invariant window elementary operators (with window W) that transform a gray-level image with finite range K1 into a gray-level image with possibly different finite range K2. Three types of characterization are presented. In the first characterization, called 'characterization by confrontation' each elementary operator depends on a family of mappings from W to K1, called structuring element. In the second characterization, called 'characterization by selection' each elementary operator depends on a family of mappings from W to K2, called impulse response. Finally, in the third characterization, called 'characterization by decomposition' each elementary operator depends on a family of mappings for K1 to K2, called elementary look up tables.

Paper Details

Date Published: 11 August 1995
PDF: 12 pages
Proc. SPIE 2568, Neural, Morphological, and Stochastic Methods in Image and Signal Processing, (11 August 1995); doi: 10.1117/12.216367
Show Author Affiliations
Gerald Jean Franc Banon, Instituto Nacional de Pesquisas Espaciais (Brazil)


Published in SPIE Proceedings Vol. 2568:
Neural, Morphological, and Stochastic Methods in Image and Signal Processing
Edward R. Dougherty; Francoise J. Preteux; Sylvia S. Shen, Editor(s)

© SPIE. Terms of Use
Back to Top