对偶基函数的升阶算法

Elevation Algorithm of Dual Functional

由对偶泛函得到幂函数的对偶基,根据对偶基函数的升阶算法得到其高阶对偶基函数.升阶算法与传统的算法相比,省去系数矩阵求逆,同时也不要求其基函数的正交性,可提高计算机辅助几何设计及图形绘制系统的效率.

According to the dual functional in the functional analysis,we can get the dual basis about the power basis function; according to the elevation algorithm of the dual basis function,we can get the high order dual basis about the power basis function. Comparing with the traditional algorithms,the algorithm avoids complicated computation about the matrix inversion and doesn＇t need the basis functions to be orthogonal basis functions.It is very important for the efficiency of computer aided geometric design and graphic rendering system.