平面列表点曲线的最优双圆弧拟合

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。

OPTIMAL BIARC FITTING FOR PLANE CURVE OF A SET OF POINTS

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.