High-accuracy reconstruction from wavelet coefficients
Fritz Keinert, Soon-Geol Kwon · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996
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.