摘要
提出了复杂平面曲线形状误差的定义,建立了复杂平面曲线形状误差数学模型,给出了快速计算测点到平面NURBS曲线的最小距离的分割逼近算法,确立了分割逼近法和归一化实数值编码遗传算法相结合计算复杂平面曲线形状误差的具体步骤。大量算例表明:在不考虑测量仪器本身误差的前提下,采用分割逼近法和遗传算法相结合计算复杂平面曲线测点形状误差得到的是全局最优解,符合最小区域法的评定标准,为复杂平面曲线误差评定开辟了新的途径。该算法易于计算机实现,非常适用于三坐标测量机。
This paper presents the definition of complex flat curve form error, establishes the model of complex flat curve form error, proposes a subdivision approach algorithm for calculating the minimum distance between a point and the complex flat curve, and gives the detailed steps for calculating the complex flat curve form error based on the subdivision approach algorithm and genetic algorithm. Taking no account of the precision of measuring machine, this method can obtain the globally optimal solution of the form error for the measuring points of a complex fiat curve, and it conforms to the judging standard of minimum zone. It can be realized easily with a computer and can be applied to a three-coordinate measuring machine.
出处
《机械科学与技术》
CSCD
北大核心
2009年第9期1121-1124,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目(50675229)
国家973计划项目(2007CB707703)资助
关键词
遗传算法
平面复杂曲线形状误差
数据处理
genetic algorithm
complex flat curve form error
subdivision approuch algorithm
作者简介
作者简介：廖平（1964-），教授，博士，研究方向为逆向工程技术。计算机测控．liaoping0@163．com.
