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Proceedings Paper

Morphological Networks
Author(s): Stephen S. Wilson
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Paper Abstract

The standard operations in mathematical morphology involve erosions, dilations, openings, and closings which have been defined on binary and grey scale images. A generalization of standard morphology is discussed and leads to a new operation: weighted rank order filters. A different type of generalization leads to morphology in a vector space. A combination of the two ideas is developed, and involves a sequence or network of layers of weighted rank order filters on vector spaces which have properties very similar to multi-layer neural networks. A weighted rank order cell has a non-linear soft threshold response at the output. Due to the nature of rank order filtering, a unique supervised training procedure can be defined which allows weights in hidden layers to be trained as quickly and easily as those in the output layer.

Paper Details

Date Published: 1 November 1989
PDF: 13 pages
Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); doi: 10.1117/12.970058
Show Author Affiliations
Stephen S. Wilson, Applied Intelligent Systems Inc. (United States)


Published in SPIE Proceedings Vol. 1199:
Visual Communications and Image Processing IV
William A. Pearlman, Editor(s)

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