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Proceedings Paper

Compact representation of W-operators
Author(s): Junior Barrera; Ronaldo F. Hashimoto
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Paper Abstract

It is well known that the family of hit-miss operators constitutes a sup-generating family for W-operators, that is, any W-operator can be represented as the supremum of hit-miss operators. We present here a new sup-generating family for W- operators: compositions of hit-miss operators with dilations. The representation based on this sup-generating family is called compact, since it may use less sup-generating operators than the hit-miss representation. Considering the W-operators that are both anti-extensive and idempotent (in a strict sense), we have also gotten a simplification of the compact representation. Furthermore, adding the hypothesis of increasingness, we have shown that the simplified compact representation reduces to a minimal realization of the classical representation of Matheron for translation invariant openings.

Paper Details

Date Published: 6 April 1998
PDF: 11 pages
Proc. SPIE 3304, Nonlinear Image Processing IX, (6 April 1998); doi: 10.1117/12.304613
Show Author Affiliations
Junior Barrera, Univ. de Sao Paulo (Brazil)
Ronaldo F. Hashimoto, Univ. de Sao Paulo (United States)

Published in SPIE Proceedings Vol. 3304:
Nonlinear Image Processing IX
Edward R. Dougherty; Jaakko T. Astola, Editor(s)

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