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Daniel Piché - Wavelet compression on fractal tilings

DANIEL PICHÉ, Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario  N2L 3G1, Canada
Wavelet compression on fractal tilings

Over the last decade, wavelets have become increasingly useful for studying the behaviour of functions, and for compression. Though much remains to be investigated in this field, certain types of wavelets are fairly easy to construct, namely Haar wavelets. This paper ties together the theory of these wavelets with that of complex bases. An algorithm is proposed, for doing wavelet analysis, with wavelets arising in this fashion. This will enable further study of the properties of these wavelets.