CAJ | 학술논문

为准确、快速地评定任意位姿的一般二次曲面轮廓度误差，提出以改进粒子群算法（IPSO）和角度分割逼近法为基础的最小区域评定方法。首先，提出角度分割逼近法计算的所有测量点与一般二次曲面的距离，并以其中最大值作为任意位姿二次曲面方程拟合算法的目标函数。其次，结合模型中目标函数的特点，提出以最优化解析法思想、自然选择和杂交结合PSO算法的新IPSO算法解决误差评定模型的优化问题。实验采用上述方法对某抛物面天线进行评定，与最小二乘算法（LSM）、标准PSO算法的结果和进化曲线等进行比较，同时比较商用软件SA的评定结果。结果表明结合PSO、最优化分析法思想、角度分割逼近法的新方法可更快速、准确地解决任意位姿的二次曲面轮廓度误差评定问题。
위준학、쾌속지평정임의위자적일반이차곡면륜곽도오차，제출이개진입자군산법（IPSO）화각도분할핍근법위기출적최소구역평정방법。수선，제출각도분할핍근법계산적소유측량점여일반이차곡면적거리，병이기중최대치작위임의위자이차곡면방정의합산법적목표함수。기차，결합모형중목표함수적특점，제출이최우화해석법사상、자연선택화잡교결합PSO산법적신IPSO산법해결오차평정모형적우화문제。실험채용상술방법대모포물면천선진행평정，여최소이승산법（LSM）、표준PSO산법적결과화진화곡선등진행비교，동시비교상용연건SA적평정결과。결과표명결합PSO、최우화분석법사상、각도분할핍근법적신방법가경쾌속、준학지해결임의위자적이차곡면륜곽도오차평정문제。
In order to evaluate profile error of general quadric in any position and orientation accurately and rapidly,an evaluating method based on Improved Particle Swarm Optimization (IPSO)and angle subdivision approximating algorithm with the requirements of the mini-mal zone is proposed.First,angle subdivision approximating algorithm is proposed to calculate the distances between measured points and general quadric.The minimal maximum in the distances is taken as the object function of the quadric fitting optimization.Second, Particle Swarm Optimization (PSO)improved by the idea of optimized analytical method,natural selection and crossover is proposed to solve the optimization in the error evaluation model according to the characteristics of the objective function.In experiment,a parabolic antenna was evaluated with the above method,compared to the results and the evolution curve of least squares method (LSM),PSO and the commercial software SA.The results show that the method combined with IPSO and angle subdivision approximating algorithm can solve the profile error evaluation of general quadric more rapidly and accurately.