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Proceedings Paper

Fuzzy logic and uncertainty in image processing
Author(s): Madan M. Gupta; George K. Knopf
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Paper Abstract

A gray tone image taken of a real scene will contain inherent ambiguities due to light dispersion on the physical surfaces. The neighboring pixels may have very different intensity values and yet represent the same surface region. In this paper, a fuzzy set theoretic approach to representing, processing, and quantitatively evaluating the ambiguity in gray tone images is presented. The gray tone digital image is mapped into a two-dimensional array of singletons called a fuzzy image. The value of each fuzzy singleton reflects the degree to which the intensity of the corresponding pixel is similar to the neighboring pixel intensities. The inherent ambiguity in the surface information can be modified by performing a variety of fuzzy mathematical operations on the singletons. Once the fuzzy image processing operations are complete, the modified fuzzy image can be converted back to a gray tone image representation. The ambiguity associated with the processed fuzzy image is quantitatively evaluated by measuring the uncertainty present both before and after processing. Computer simulations are presented in order to illustrate some of these notions.

Paper Details

Date Published: 21 May 1993
PDF: 14 pages
Proc. SPIE 1902, Nonlinear Image Processing IV, (21 May 1993); doi: 10.1117/12.144756
Show Author Affiliations
Madan M. Gupta, Univ. of Saskatchewan (Canada)
George K. Knopf, Univ. of Saskatchewan (Canada)

Published in SPIE Proceedings Vol. 1902:
Nonlinear Image Processing IV
Edward R. Dougherty; Jaakko T. Astola; Harold G. Longbotham, Editor(s)

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