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Proceedings Paper

Role of shape in morphological bases for digital moving-average filters
Author(s): Edward R. Dougherty; Eugene J. Kraus
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Paper Abstract

A digital moving-average filter with nonnegative mask weights that sum to unity is a gray-scale morphological filter. As such it possesses a representation as a maximum of erosions over its morphological basis. The present paper investigates the special properties of the digital movingaverage morphological basis these properties being for the most part combinatoric in nature. Shapes of digital structuring elements are related to the filter weights by means of shape classes. This is accomplished by defining a characteristic of a signal relative to the filter weights and then characterizing basis elements by means of the characteristic. The notion of shape is then extended to a more general class of morphological filters. The concept of a morphological quasi-average is introduced and the power of such filters to approximate morphological filters is addressed.

Paper Details

Date Published: 1 November 1990
PDF: 11 pages
Proc. SPIE 1350, Image Algebra and Morphological Image Processing, (1 November 1990); doi: 10.1117/12.23572
Show Author Affiliations
Edward R. Dougherty, Rochester Institute of Technology (United States)
Eugene J. Kraus, Rochester Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1350:
Image Algebra and Morphological Image Processing
Paul D. Gader, Editor(s)

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