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Proceedings Paper

Image Algebra - Induced Operators And Induced Subalgebras
Author(s): Edward R. Dougherty; Charles R. Giardina
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Paper Abstract

The primary goal of an image algebra is the development of a mathematical environment in which to express the various algorithms employed in image processing. From a practical standpoint, this means that the algorithms should appear as strings in an operational calculus, where each operator can ultimately be expressed as a string composed of some collection of elemental, or "basis," operators and where the action of the string upon a collection of input images is determined by function composition. For instance, rather than defining operations such as convolution and dilation in a pointwise manner, we desire closed-form expressions of these operators in terms of low-level operations that are close to the algebraic structure of the underlying mathematical entities upon which images are modeled. It is precisely such an approach that will yield a natural symbolic language for the expression of image processing algorithms.

Paper Details

Date Published: 13 October 1987
PDF: 6 pages
Proc. SPIE 0845, Visual Communications and Image Processing II, (13 October 1987); doi: 10.1117/12.976515
Show Author Affiliations
Edward R. Dougherty, Fairleigh Dickinson University / Singer-Kearfott Company (United States)
Charles R. Giardina, Fairleigh Dickinson University / Singer-Kearfott Company (United States)


Published in SPIE Proceedings Vol. 0845:
Visual Communications and Image Processing II
T. Russell Hsing, Editor(s)

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