Morphological Networks

Stephen S. Wilson

doi:10.1117/12.970058

1 November 1989 Morphological Networks

Stephen S. Wilson

Proceedings Volume 1199, Visual Communications and Image Processing IV; (1989) https://doi.org/10.1117/12.970058
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States

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.

Citation Download Citation

Stephen S. Wilson "Morphological Networks", Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); https://doi.org/10.1117/12.970058

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