8 July 1994 Hyperspectral imagery with the application of Krawtchouk polynomials
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Abstract
An approach to the invariant processing system design is proposed, based on the application of the Hermit polynomials. This approach rests on the usage of the expansion of a signal by special polynomials of discrete argument--the Krawtchouk polynomials. The properties of the Krawtchouk polynomials make it possible to select a complete system of informative features of signals, which are invariant with respect to linear and some nonlinear transformations. The algorithm of selection of informative features of a signal provides a basis for the software intended for signal compression and restoration as well as the recognition and classification of signals. We also describe some applications of the above software to the processing of some biological and medical signals and images.
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Leonid I. Vainerman, Leonid I. Vainerman, Natalya B. Filimonova, Natalya B. Filimonova, } "Hyperspectral imagery with the application of Krawtchouk polynomials", Proc. SPIE 2231, Algorithms for Multispectral and Hyperspectral Imagery, (8 July 1994); doi: 10.1117/12.179775; https://doi.org/10.1117/12.179775
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