平面列表点曲线的最优双圆弧拟合  

OPTIMAL BIARC FITTING FOR PLANE CURVE OF A SET OF POINTS

作　　者：王琦[1] 

机构地区：[1]中国科学院现代制造CAD/CAM技术开放实验室

出　　处：《小型微型计算机系统》1997年第8期38-42,共5页Journal of Chinese Computer Systems

摘　　要：本文利用相切的双圆弧拟合平面列表点曲线，最优原则取“应变能”与弧长加权之和为最小。这个方法克服了单圆弧样条拟合及其它优化原则方法的缺点，在数控加工中将得到很好的应用。The optimum biarc curve is considered for fitting the curve througt a given set of points with given end gradients on the plane. The optimality criteria adopted is that of finding the common tangent points of all the biarcs and the gradients at all the given points such that the integral of the sum of the arc length weighted and the square of the local curvature along the curve is a minimum. This method can be used in CNC machine control manufacture.

关 键 词：双圆弧拟合 圆弧样条 数控加工 计算机辅助技术 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] TG659[自动化与计算机技术—计算机科学与技术]