【摘要】 多尺度加细方程的求解是小波分析与多分辨分析的应用基础。本文应用多分辨分析及矩阵的相关理论,采用迭代方法给出了求解m-尺度加细方程的快速算法(这里m>1;m∈Z)。该算法与己有的方法相比具有存储量小和运算速度快并且求解的范围更广泛的特点。更多还原

【Abstract】 In this paper, new fast algorithm for solving refinement equation with dilation factor m is presented by appling the multiresolution analysis and the matrix theory. The algorithm has advantages over existing methods and enlarges the range of the solvable equations.更多还原