使用基样条构造多分辨率逼近及小波

USING THE CARDINAL SPLINES FOR THE CONSTRUCTION OF A MULTIRESOLUTION APPROXIMATION AND WAVELETS

我们首先介绍了Ｂ－样条及基样条，然后用ｍ阶的Ｂ－样条Ｎ＿ｍ（ｘ）功生成了一个Ｌ￣２（Ｒ）中一个比例为ｒ的多分辨逼近，而且用构造了相应的小波空间，这里Ｌ＿（２ｍ）为２ｍ阶的基样条，最后，我们给了小波的分解与合成算法。

We first introduce the B-spline and the fundamental interpolatory spline,then we take m￣(th) order B-spline N_m(x)generating a multiresolution approximation with scaling rate r of L￣2(R) and use constructing the wavelet spaces, where L_(2m)is (2m)￣(th) order fundamental interpolatory spline. Finaliy, we giye the wavelet decomposition and reconstruction algorithms.