采用积累弦长法拟合3次NURBS曲线  

Third-Order Non-Uniform Rational B-Spline Curve Fitting Based on Method of Accumulating Chord Length

作　　者：叶丽[1] 谢明红[1] 

机构地区：[1]华侨大学机电及自动化学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2010年第4期383-387,共5页Journal of Huaqiao University(Natural Science)

基　　金：福建省自然科学基金计划资助项目(E0640007)

摘　　要：根据已知的3次非均匀有理B样条(NURBS)曲线型值点,采用效果较好的积累弦长参数化方法构造节点矢量,从而得到B样条基;利用带权控制顶点的矩阵计算出全部控制顶点,最后拟合出所要求的曲线.拟合结果表明,该方法可以反映数据点按弦长的分布情况,适用于构造任意次非均匀有理B样条曲线节点矢量参数的计算,较好地适合于工程实践的应用.According to a given set of data points of the third-order non-uniform rational B-spline（NURBS） curve,the parametrization method of accumulating chord length which is more effective is used to construct the knot vectors to obtain the B-spline basis.All of the control points are calculated using the matrix of the control points with powers to fit the required curve finally.The final result reveals that data distribution according to the chord length can be shown by this method.This method can be used in parameter calculation during construction of the knot vector of any order NURBS curve,and can be better fit for engineering practice.

关 键 词：非均匀有理B样条 积累弦长 参数化 型值点 控制顶点 曲线拟合 

分 类 号：TB115[理学—数学] TP391.7[理学—应用数学]