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Proceedings Paper

Determination of the scaling parameters of affine fractal interpolation functions with the aid of wavelet analysis
Author(s): Leonid I. Levkovich-Maslyuk
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Paper 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.

Paper Details

Date Published: 23 October 1996
PDF: 10 pages
Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255302
Show Author Affiliations
Leonid I. Levkovich-Maslyuk, Keldysh Institute of Applied Mathematics (Russia)

Published in SPIE Proceedings Vol. 2825:
Wavelet Applications in Signal and Image Processing IV
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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