URN模型与调配函数的优化

摘要

对计算机辅助几何造型中的Bézier曲线的调配函数进行探究，利用Friedman的URN模型构造出带有参数的调配函数，用其生成拟Bézier曲线，这种新曲线可以对数据点进行光顺逼近。利用最小二乘法和非线性泛函的极小值优化计算，得到最优的光顺逼近曲线。%In this paper,blending functions and their applications are discussed.Through making use of Friedman's URN modeling, we constructed blending functions to achieve a new quasi-Bézier curve that can be used to fair-approximate to data points of plane. By using of the technique of least square approximation and minimizing a non-linear functional ,we get a fairing -approximation curve.