23 October 1996 High-accuracy reconstruction from wavelet coefficients
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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(hp). Related formulas for recovering derivatives of f are also given.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Fritz Keinert, Soon-Geol Kwon, "High-accuracy reconstruction from wavelet coefficients", Proc. SPIE 2825, Wavelet Applications in Signal and Image Processing IV, (23 October 1996); doi: 10.1117/12.255230; https://doi.org/10.1117/12.255230
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