CAJ | 학술논문

在分析NURBS曲线插补原理的基础上，提出了一种基于Muller法的NURBS曲线实时插补算法。该算法首先进行速度控制，由最大进给速度约束、最大弓高误差约束和最大法向加速度约束得到希望进给步长，保证了加工精度。然后利用Muller法迭代计算满足进给步长要求的插补参数，避免了传统方法的复杂求导运算。该算法稳定性好，运算量小，能够对速度波动进行有效控制，并且能够满足实时插补的要求。
재분석NURBS곡선삽보원리적기출상，제출료일충기우Muller법적NURBS곡선실시삽보산법。해산법수선진행속도공제，유최대진급속도약속、최대궁고오차약속화최대법향가속도약속득도희망진급보장，보증료가공정도。연후이용Muller법질대계산만족진급보장요구적삽보삼수，피면료전통방법적복잡구도운산。해산법은정성호，운산량소，능구대속도파동진행유효공제，병차능구만족실시삽보적요구。
Through analyzing the principle of NURBS curve interpolation , a real-time NURBS interpolation algorithm based on Muller method is proposed .The proposed algorithm firstly controls the velocity to meet the speed and accuracy requirements by a -dopting constraints of maximum feed speed ,maximum chord error and maximum acceleration .Then Muller method is used to cal-culate the interpolation parameters in the constraint of feed step iteratively ,avoiding derivative calculation of traditional methods . The proposed algorithm has advanced features of good stability and less calculation .It also can effectively control the rate fluctua-tion and meet the real-time interpolation requirement .