Mean-absolute-error theorem for computational morphology

Robert P. Loce; Edward R. Dougherty

doi:10.1117/12.146680

23 June 1993 Mean-absolute-error theorem for computational morphology

Robert P. Loce, Edward R. Dougherty

Proceedings Volume 2030, Image Algebra and Morphological Image Processing IV; (1993) https://doi.org/10.1117/12.146680
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

Computational mathematical morphology was developed to provide a unified framework for the design of optimal filters: gray-scale- to-gray-scale, gray-scale-to-binary, and binary-to-binary. The present paper provides as representation for the mean-absolute error of increasing filters in terms of the errors resulting from single-erosion filters. It also provides a recursive form of the representation that can be employed in a computer search algorithm to find optimal filters, in particular, optimal restoration filters.

Citation Download Citation

Robert P. Loce and Edward R. Dougherty "Mean-absolute-error theorem for computational morphology", Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); https://doi.org/10.1117/12.146680

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