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Proceedings Paper

Algebraic model of optical intelligence systems: geometrical optics approximation
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Paper Abstract

We consider algebraic foundations of geometrical optics approximation. The consideration is aimed at optical implementation of computational intelligence models. Theory of triangular norms and measure means are used to formulate the description. The process of negative photo-registration is considered as the implementation of the negation, which generates the algebra. Three approximations of negative recording media transmittance are considered: linear, involutive, and non-involutive one. Optically realizable orders and relations of fuzzy numbers, fuzzy sets and images are considered.

Paper Details

Date Published: 14 November 2001
PDF: 11 pages
Proc. SPIE 4479, Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation IV, (14 November 2001); doi: 10.1117/12.448347
Show Author Affiliations
Ravil Z. Zakirov, St. Petersburg Institute of Fine Mechanics and Optics (Russia)
Alexander V. Pavlov, S.I. Vavilov State Optical Institute (Russia)


Published in SPIE Proceedings Vol. 4479:
Applications and Science of Neural Networks, Fuzzy Systems, and Evolutionary Computation IV
Bruno Bosacchi; David B. Fogel; James C. Bezdek, Editor(s)

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