Determination of the scaling parameters of affine fractal interpolation functions with the aid of wavelet analysis

Leonid I. Levkovich-Maslyuk

doi:10.1117/12.255302

23 October 1996 Determination of the scaling parameters of affine fractal interpolation functions with the aid of wavelet analysis

Leonid I. Levkovich-Maslyuk

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Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255302
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Fractal interpolation functions have become popular after the works of M.Barnsley and his co-authors on iterated function systems and their applications to data compression3'4. Here, we consider the following problem: given a set of values of a fractal interpolation function, recover the contractive affine mappings generating this function. The suggested solution is based on the connection, which is established in the work, between the maxima skeleton of wavelet transform of the function and positions of the fixed points of the affine mappings in question. Keywords: Fractal interpolation,wavelets, data compression.

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Leonid I. Levkovich-Maslyuk "Determination of the scaling parameters of affine fractal interpolation functions with the aid of wavelet analysis", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255302

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