Hyperspectral imagery with the application of Krawtchouk polynomials

Leonid I. Vainerman; Natalya B. Filimonova

doi:10.1117/12.179775

8 July 1994 Hyperspectral imagery with the application of Krawtchouk polynomials

Leonid I. Vainerman, Natalya B. Filimonova

Proceedings Volume 2231, Algorithms for Multispectral and Hyperspectral Imagery; (1994) https://doi.org/10.1117/12.179775
Event: SPIE's International Symposium on Optical Engineering and Photonics in Aerospace Sensing, 1994, Orlando, FL, United States

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.

Citation Download Citation

Leonid I. Vainerman and Natalya B. Filimonova "Hyperspectral imagery with the application of Krawtchouk polynomials", Proc. SPIE 2231, Algorithms for Multispectral and Hyperspectral Imagery, (8 July 1994); https://doi.org/10.1117/12.179775

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KEYWORDS

Signal processing

Visual analytics

Visualization

Convolution

Image processing

Error analysis

Hyperspectral imaging

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