High-accuracy reconstruction from wavelet coefficients

Fritz Keinert; Soon-Geol Kwon

doi:10.1117/12.255230

23 October 1996 High-accuracy reconstruction from wavelet coefficients

Fritz Keinert, Soon-Geol Kwon

Proceedings Volume 2825, Wavelet Applications in Signal and Image Processing IV; (1996) https://doi.org/10.1117/12.255230
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

The accuracy of the wavelet approximation at resolution h equals 2^-n to a smooth function f is limited by O(hⁿ), where N is the number of vanishing moments of the mother wavelet (psi) . For any positive integer p, we derive basis functions which allow us to recover a smooth f from its wavelet coefficients with accuracy O(h^p). Related formulas for recovering derivatives of f are also given.

Citation Download Citation

Fritz Keinert and Soon-Geol Kwon "High-accuracy reconstruction from wavelet coefficients", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); https://doi.org/10.1117/12.255230

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