Uniform approximation of wavelet coefficients

T. D. Svenson; Jo A. Ward; K. J. Harrison

doi:10.1117/12.255231

23 October 1996 Uniform approximation of wavelet coefficients

T. D. Svenson, Jo A. Ward, K. J. Harrison

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255231
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

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.

Citation Download Citation

T. D. Svenson, Jo A. Ward, and K. J. Harrison "Uniform approximation of wavelet coefficients", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255231

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