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Proceedings Paper

Morphological filter mean-absolute-error theorem
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Paper Abstract

The general characterization of optimal morphological filters is based on the Matheron representation for morphological filters. As conceived in its most general form, optimal- morphological-filter design involves a search over potential bases of structuring elements that can be used to form the Matheron erosion expansion. The present paper provides expressions for the mean-absolute error of general binary morphological filters formed from erosion bases in terms of mean-absolute errors of single-erosion filters. The theorem has a recursive form and use of this form in the derivation of optimal-filter bases is demonstrated.

Paper Details

Date Published: 1 April 1992
PDF: 12 pages
Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); doi: 10.1117/12.58363
Show Author Affiliations
Robert P. Loce, Xerox Corp. (United States)
Edward R. Dougherty, Rochester Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1658:
Nonlinear Image Processing III
Edward R. Dougherty; Jaakko T. Astola; Charles G. Boncelet, Editor(s)

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