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Uniform approximation of wavelet coefficients

Svenson, T. D., Ward, J.A. and Harrison, K.J. (1996) Uniform approximation of wavelet coefficients. In: Wavelet Applications in Signal and Image Processing IV; V2825, 6 August, Denver, CO, USA pp. 206-215.

Link to Published Version: http://dx.doi.org/10.1117/12.255231
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Abstract

Mallat's pyramid algorithm relates the scaling coefficients of a function at one level to the scaling and wavelet coefficients at lower levels. In practice, the scaling coefficients are estimated at some level m, and the algorithm is used to produce estimates of the scaling and wavelet coefficients at lower levels. Initial errors propagate to lower level estimates. this paper descries conditions under which this process generates estimates which are uniformly reliable at a particular level, and under which the errors at that level tend uniformly to zero as m increases.

Publication Type: Conference Paper
Publisher: The International Society for Optical Engineering
Copyright: © 2005 Copyright SPIE - The International Society for Optical Engineering.
URI: http://researchrepository.murdoch.edu.au/id/eprint/29472
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