【摘要】 根据泛函分析中的对偶理论,给出低次Bernstein基函数的对偶基函数,根据对偶基函数的升阶算法,得到Bernstein基函数的高阶对偶基函数;这种算法与传统的算法相比,避免大量的繁琐计算,也不需要所给基函数是正交基函数,对计算机辅助几何设计及图形绘制系统的效率有重要意义.更多还原

【Abstract】 First of all,the dual basis functions about the lower Bernstein are given;Secondly,according to the elevation algorithm about the dual basis function,the high order dual basis about the Bernstein basis functionis obtained. Comparing with the traditional algorithms,the algorithm avoids complicated computation anddones not 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.更多还原