23 October 1996 Uniform approximation of wavelet coefficients
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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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
T. D. Svenson, Jo A. Ward, K. J. Harrison, "Uniform approximation of wavelet coefficients", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255231; https://doi.org/10.1117/12.255231
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KEYWORDS
Wavelets

Error analysis

Algorithms

Wave propagation

Mathematics

Radon

Virtual colonoscopy

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