Nonerror reconstruction of multiresolution discrete wavelet representation and its fast algorithm
Xiuguang Zhou, Egon Dorrer · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994
The error in the reconstructed data of a wavelet decomposition by using a finite number of taps in quadrature mirror filter (QMF) and the computational costs are analyzed in time (or space) domain in this paper. In order to avoid the reconstruction error based on the error analysis and the number of taps in QMF being set to three, two QMFs for wavelet decomposition and reconstruction are obtained. The derived mother wavelet is based on a modified Haar function. A pair of fast and parallel 2D digital wavelet multiresolution decomposition and reconstruction algorithms are presented in this paper. The computational costs and some characteristics of the algorithms are also studied.