Fuzzy logic and uncertainty in image processing

Madan M. Gupta; George K. Knopf

doi:10.1117/12.144756

21 May 1993 Fuzzy logic and uncertainty in image processing

Madan M. Gupta, George K. Knopf

Proceedings Volume 1902, Nonlinear Image Processing IV; (1993) https://doi.org/10.1117/12.144756
Event: IS&T/SPIE's Symposium on Electronic Imaging: Science and Technology, 1993, San Jose, CA, United States

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.

Citation Download Citation

Madan M. Gupta and George K. Knopf "Fuzzy logic and uncertainty in image processing", Proc. SPIE 1902, Nonlinear Image Processing IV, (21 May 1993); https://doi.org/10.1117/12.144756

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