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Proceedings Paper

Logical context of nonlinear filtering
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Paper Abstract

The mathematical structure of binary nonlinear filtering is expressed in the context of binary cellular logic and the relevance of existing image algebras is discussed. Operator properties such as antiextensively and idempotence are examined from a discrete logical perspective, as are the classical Matheron representations. The simplicity of the operational properties is exposed by such an approach, as is the use of commonplace logic design methods for the composition and decomposition of nonlinear filters, in particular, binary morphological filters.

Paper Details

Date Published: 1 April 1992
PDF: 11 pages
Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); doi: 10.1117/12.58380
Show Author Affiliations
Edward R. Dougherty, Rochester Institute of Technology (United States)
Robert M. Haralick, Univ. of Washington (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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