自由曲线的双圆弧拟合成形法

AN APPROACH FOR APPROXIMATION OF FREE FORM CURVE BY BIARCS

用双圆弧拟合离散型值点生成自由曲线是近年来非圆曲线或曲面的零件自动编程与加工中常用的一种数学模型。本文从计算几何、函数逼近论等数学理论出发，建立了新的双圆弧拟合的计算公式，并给出了推导过程。同时在此基础上，提出了一种实用的分割─一拟合的双圆弧拟合自由曲线的成形方法。

Biarc for approximation of discrete data is one or the mathematic models often used in automatic programming and manufacturing of free form curve or surface parts. This paper presents some new caculation formulae for blare approximation and extends the deduction procedure by using computational geometry and functional approximation theory.Thereafter a practical divide and conquer algorithm is proposed for approximation of free form curve using biarcs.