Morphological filter mean-absolute-error theorem

Robert P. Loce; Edward R. Dougherty

doi:10.1117/12.58363

1 April 1992 Morphological filter mean-absolute-error theorem

Robert P. Loce, Edward R. Dougherty

Proceedings Volume 1658, Nonlinear Image Processing III; (1992) https://doi.org/10.1117/12.58363
Event: SPIE/IS&T 1992 Symposium on Electronic Imaging: Science and Technology, 1992, San Jose, CA, United States

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.

Citation Download Citation

Robert P. Loce and Edward R. Dougherty "Morphological filter mean-absolute-error theorem", Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); https://doi.org/10.1117/12.58363

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