高维Riesz多小波基

Multivariate Riesz Multiwavelet Bases

本文研究了(L_2(R^s))^(r×1)上的短支集高维Riesz多小波基,它在很多领域比如图像处理,计算机图形学,数值算法都有重要的应用.刻画了从向量细分函数得到Riesz基的算法,也给出了Riesz小波基在(L_2(R^s))^(r×1)空间上的一些重要的结论.

In this paper,we will investigate Multivariate Riesz Multiwavelet Bases with short support in（L_2（R^s））^（r×1）,which have applications in many areas,such as image processing,computer graphics and numerical algorithms.We characterize an algorithm to derive Riesz bases from refutable function vectors.Several other important results about Riesz wavelet bases in（L_2（R^s））^（r×1） are also given.