Comparison of wavelet and Karhunen-Loeve representation in texture applications

Yurij S. Musatenko; Vitalij N. Kurashov; Alexandr G. Chumakov

doi:10.1117/12.236010

22 March 1996 Comparison of wavelet and Karhunen-Loeve representation in texture applications

Yurij S. Musatenko, Vitalij N. Kurashov, Alexandr G. Chumakov

Proceedings Volume 2762, Wavelet Applications III; (1996) https://doi.org/10.1117/12.236010
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

We present comparative results of texture analysis performed with wavelet transform, exact Karhunen-Loeve (KL) transform and approximate KL transform. Two well-known methods of approximate KL basis construction are discussed, and a new algorithm for optimized orthogonal transform of image ensemble is proposed. The last one is based on the evaluation of factored approximation of 2D-images correlation matrix, the eigenfunctions of which permit us to calculate a suitable approximate KL basis. Experimental results are obtained for texture ensemble with controlled correlation properties. It is shown that in some cases the energy accumulation for wavelet transform is much worse than for approximate 2D-algorithm with the comparable complexity.

Citation Download Citation

Yurij S. Musatenko, Vitalij N. Kurashov, and Alexandr G. Chumakov "Comparison of wavelet and Karhunen-Loeve representation in texture applications", Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); https://doi.org/10.1117/12.236010

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