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Optical Engineering

Optimal mean-absolute-error hit-or-miss filters: morphological representation and estimation of the binary conditional expectation
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Paper Abstract

The hit-or-miss operator is used as the building block of optimal binary restoration filters. Filter design methodologies are given for general-, maximum-, and minimum-noise environments, the latter two producing optimal thinning and thickening filters, respectively, and for iterative filters. The approach is based on the expression of translation-invariant filters as unions of hit-or-miss transforms. Unions of hit-or-miss transforms are expressed as canonical logical sums of products, and the final hit-or-miss templates are obtained by logic reduction. The net effect is a morphological representation and estimation of the conditional expectation, which is the overall optimal mean-absolute-error filter.

Paper Details

Date Published: 1 April 1993
PDF: 13 pages
Opt. Eng. 32(4) doi: 10.1117/12.132376
Published in: Optical Engineering Volume 32, Issue 4
Show Author Affiliations
Edward R. Dougherty, Rochester Institute of Technology (United States)
Robert P. Loce, Xerox Corp. (United States)


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