1 April 1992 Morphological filter mean-absolute-error theorem
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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.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Robert P. Loce, Edward R. Dougherty, "Morphological filter mean-absolute-error theorem", Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); doi: 10.1117/12.58363; https://doi.org/10.1117/12.58363
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