Logical context of nonlinear filtering

Edward R. Dougherty; Robert M. Haralick

doi:10.1117/12.58380

1 April 1992 Logical context of nonlinear filtering

Proceedings Volume 1658, Nonlinear Image Processing III; (1992) https://doi.org/10.1117/12.58380
Event: SPIE/IS&T 1992 Symposium on Electronic Imaging: Science and Technology, 1992, San Jose, CA, United States

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.

Citation Download Citation

Edward R. Dougherty and Robert M. Haralick "Logical context of nonlinear filtering", Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); https://doi.org/10.1117/12.58380

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