Algebraic approach to the approximation of transfer characteristics of negative recording media

Optics and Spectroscopy - Tập 89 - Trang 792-796 - 2000
A. V. Pavlov1
1Vavilov State Optical Institute, All-Russia Scientific Center, St. Petersburg, Russia

Tóm tắt

The choice of a function approximating the exposure dependence of the amplitude transmission of negative recording media is considered from the standpoint of the theory of measure within the framework of the algebraic model of the system in the geometrical optics approximation. Two processes are taken into account: photodetection in the quasi-linear and the overexposure ranges and light modulation by transparencies made by the method of negative photodetection. Formal construction of the algebra is shown to lead to the approximation by Sugeno negation. Comparison with the approximation by a power polynomial is made.

Tài liệu tham khảo

F. T. S. Yu and S. Jutamulia, Optical Signal Processing, Computing, and Neural Networks (Wiley, New York, 1992). E. Trillas, Stochastica 3, 47 (1979). E. Trillas, K. Alsina, and A. Valverde, Fuzzy Sets and Possibility Theory, Ed. by R. R. Yager (Pergamon, Oxford, 1982; Radio i Svyaz’, Moscow, 1986). G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961; Nauka, Moscow, 1974). A. S. Krivov and S. V. Marinko, Izmer. Tekh. 7, 12 (1996). A. S. Bondarevskii and V. N. Sretenskii, Izmer. Tekh. 7, 21 (1996). D. D. Nedosekin, S. V. Prokopchina, et al., Information Technologies for Making Measurement Processes Intellectual (Nauka, St. Petersburg, 1995). L. M. Serebryakova, Opt. Spektrosk. 78, 984 (1995) [Opt. Spectrosc. 78, 891 (1995)]. R. J. Collier, C. B. Burckhardt, and L. H. Lin, Optical Holography (Academic, New York, 1971; Mir, Moscow, 1973). A. V. Pavlov, Izmer. Tekh. 12, 23 (1999). G. Birkhoff, Lattice Theory (American Mathematical Soc., Providence, 1967; Nauka, Moscow, 1984). Fuzzy Sets in Models of Control and Artificial Intellect, Ed. by D. A. Pospelov (Moscow, 1986), p. 311. M. Sugeno, Trans. SICE 8(2), 95 (1972). K. Preston, Coherent Optical Computers (Wiley, New York, 1972; Mir, Moscow, 1974). M. I. Makeev, in Proceedings of the International Conference “Optics 99,” p. 126. N. Collings, A. R. Pourzand, F. V. Vladimirov, et al., Opt. Mem. Neural Netw. 6, 187 (1997). A. V. Pavlov, in Proceedings of the Second International Conference on Soft Computing and Measurements SCM’99, St. Petersburg, 1999, Vol. 1, pp. 218–221.