有向几何及平面参数曲线的圆弧样条拟合  

DIRECTED GEOMETRY AND CIRCULAR ARC SPLINE APPROXIMATION FOR FITTING PLANE PARAMETRIC CURVES

作　　者：王琦[1] 郭非[2] 王启义[2] 

机构地区：[1]中国科学院沈阳计算技术研究所现代制造CAD/CAM开放实验室 [2]东北大学机械工程学院

出　　处：《数值计算与计算机应用》1998年第1期41-48,共8页Journal on Numerical Methods and Computer Applications

摘　　要：The double circle-arc fitting in the same direction and in the opposite direction are given in the original coordinates for arbitrary plane parametric curves, after the straight line, the circular-arc, the parametric curve and its tangent line are oriented. The circular-arc fittings for plane curve of tabular points are discribed by using the cubic spline function. Newton method is used to calculate the maximum error and the result of high precision has been gained by densifying points. The advantage of the method is that if overcomes difficulties of large defiection, high precision, huge programming, and avoid solving the nonlinear equations.The double circle-arc fitting in the same direction and in the opposite direction are given in the original coordinates for arbitrary plane parametric curves, after the straight line, the circular-arc, the parametric curve and its tangent line are oriented. The circular-arc fittings for plane curve of tabular points are discribed by using the cubic spline function. Newton method is used to calculate the maximum error and the result of high precision has been gained by densifying points. The advantage of the method is that if overcomes difficulties of large defiection, high precision, huge programming, and avoid solving the nonlinear equations.

关 键 词：有向几何 平面参数曲线 圆弧样条拟合 数值逼近 

分 类 号：O241.5[理学—计算数学]