曲线的二次有理Bezier曲线拟合

曲线的二次有理Bezier曲线拟合 QUADRATIC RATIONAL BEZIER CURVE FITTING 沈海鸥 Shen Haiou 1 first-author 陈淑珍 Chen Shuzhen 1 孙晓安 Sun Xiaoan 1 武汉大学电子信息学学院 武汉大学电子信息学学院 College of Electronic Information,Wuhan University College of Electronic Information,Wuhan University 根据１９９１年国际标准组织（ＩＳＯ）颁布的关于工业产品数据交换的ＳＴＥＰ国际标准，采用非均匀有理Ｂ样条（ＮＵＲＢＳ）的特例：二次有理Ｂｅｚｉｅｒ曲线，提出了用二次有理Ｂｅｚｉｅｒ曲线进行扫描点的曲线拟合方法，讨论了如何对多条二次有理Ｂｅｚｉｅｒ曲线进行合并，以减少曲线段的数目．获得了优良的拟合效果 That freeform curve、surface and quadratic curve、surface are difficult to express in uniform mathematical method is the primary problem faced by engineers. The purpose of Non Uniform Rational B Spline （NURBS） method is to find a precise mathematical method to present quadratic curve、surface which is consistent with the B Spline method that characterize the freeform curve、surface. According to the STEP International Standard for industrial product data exchange which is promulgated by International Standard Organization （ISO）in 1991,Quadratic Rational Bezier Curve,a special form of NURBS is used in this paper. We use Quadratic Rational Bezier Curves to fit scaned points and discussed how to combine several Quadratic Rational Bezier Curves to reduce the number of curves. This method has excellent fitting performance. Bezier曲线 拟合 曲线合并 Bezier curve fit combine curves TP391.41 国防科工委科研基金 1997-01-01 2021-04-01 1