圆弧曲线的二次有理Bézier表示方法  

The Quadratic Rational Bézier Method for Arc Curve

作　　者：杨艳 黄家珩 YANG Yan;HUANG Jia-heng(Department of Mathematics,Luliang University,Lishi Shanxi 033001,China)

机构地区：[1]吕梁学院数学系,山西离石033001

出　　处：《吕梁学院学报》2020年第2期1-5,共5页Journal of Lyuiang University

基　　金：山西省自然科学基金(201801D121010);吕梁学院大学生创新创业训练计划项目(CXCYYB201955).

摘　　要：2次有理Bézier曲线可以精确表示圆,需计算出控制顶点和权重.首先根据圆的参数方程得到四分之一圆弧曲的2次有理Bézier表达式,然后根据圆的几何性质得到任意大小圆心角的圆弧曲线的2次有理Bézier表达式,并用分割方法改善结果的凸性和参数化.The quadratic rational Bézier curve can accurately represent the circle,and the control vertices and weights need to be calculated.Firstly,the quadratic rational Bézier formula of the quarter arc is obtained according to the parametric equation of the circle,and then the quadratic rational Bézier formula of the arc with arbitrary center angle is obtained according to the geometric properties of the circle,and the convexity and parameterization of the result are improved by the segmentation method.

关 键 词：2次有理Bézier曲线 圆弧曲线 参数方程 分割 

分 类 号：O241.1[理学—计算数学]