Abstract
The technique of Fourier holography is considered from the point of view of the construction of an algebraic model. It is shown that the technique yields a construction of a semigroup of fuzzy subsets with convolution as addition and correlation as subtraction. It is proved that in an approximation to linearity of the Fourier transformation, the Sugeno λ-measure, which takes fuzzy values, is an appropriate tool for Fourier optics.
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Pavlov, A.V. Measure for Approximation of Fourier Optics. Measurement Techniques 44, 474–481 (2001). https://doi.org/10.1023/A:1012354002339
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DOI: https://doi.org/10.1023/A:1012354002339