样条多分辨分析

Spline Multiresolution Analysis

本文根据平移不变子空间二尺度分解理论，系统、简结地构造了各类样条多分辨分析。其中涉及的运算只有序列的卷积、求逆、开平方和抽取以及信号的内积。

Several types of spline multiresolution analyses are constructed systematically simply based on the general decomposition theory of two-scale shift-invariant subspaces.The only involved operations are convolution,inversion, squar-root,subsumpling and inner product of sequenses.