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Optimal Approximating Algorithm and Realization of Parameter Equation Curve
Author(s): 
Pages: 57-59,63
Year: Issue:  6
Journal: Journal of Mechanical Transmission

Keyword:  圆弧最优逼近尖点最少节点优化;
Abstract: 讨论了参数方程以单圆弧和双圆弧混合逼近的优点,用优化三点圆弧以允差逼近曲线和单双圆弧混合逼近的算法,使得曲线有拐点和极值点时整个逼近圆弧的光滑连接.讨论了参数方程分段点的性质,保证了分段点判断的可靠性.在曲率极值点处采用圆弧延长法,进一步减少了圆弧逼近的段数.对称图形采用对称算法,提高了图形的对称性,大大提高了程序的速度.基于Matlab采用优化的方法进行程序的编制求解节点.为CAD系统和数控加工复杂的曲线提供了参考.
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