基于鲸鱼-粒子群复合算法的子孔径拼接技术OA
Sub-aperture Stitching Technology Based on Whale Optimization Algorithm-Particle Swarm Optimization
针对子孔径拼接技术使用的粒子群算法(PSO)存在收敛速度慢、易陷入局部最优的问题,融合鲸鱼优化算法(WOA)与粒子群算法,提出一种WOA-PSO复合优化算法.该算法在迭代前期参考WOA的搜索猎物阶段,使算法具有更好的全局搜索能力,避免陷入局部最优解,后期引入WOA的气泡网攻击算法,丰富粒子的迭代策略,能对种群最优解附近解空间进行更好地探索.采用Zernike多项式拟合波面对PSO与WOA-PSO进行仿真测试,结果表明:WOA-PSO具有更快的收敛速度;采用口径为150 mm的激光平面干涉仪对310 mm的长平晶进行拼接测量,移动步长为50 mm时,使用WOA-PSO算法拼接后的数据与全口径测量数据相比,两者PV值误差为-0.040 4 λ,RMS值误差为-0.021 3 λ(λ=632.8 nm),WOA-PSO算法可以对子孔径间的误差有效补偿,还原被测元件整体面形.
To address the problems of slow convergence and susceptibility to local optima in particle swarm optimization(PSO)for sub-aperture stitching,a hybrid algorithm combining whale optimization algorithm(WOA)and PSO is proposed.In the early stage of iteration,the prey-searching mechanism of WOA is introduced to enhance the global search capability and reduce the risk of premature convergence.In the later stage,the bubble-net attacking strategy of WOA is incorporated to enrich the particle update mechanism and improve the local exploration of the solution space around the current optimum.Simulation tests based on wavefronts fitted by Zernike polynomials are carried out to compare the performance of PSO and WOA-PSO,and the results show that WOA-PSO achieves a faster convergence rate.Stitching experiments are further conducted on a 310 mm long optical flat using a laser flat interferometer with an aperture of 150 mm.When the translation step is 50 mm,the stitched result obtained by WOA-PSO exhibited a PV error of-0.040 4 λ and an RMS error of-0.021 3 λ relative to the full-aperture measurement result(λ=632.8 nm).The results demonstrate that the proposed algorithm can effectively compensate for inter-sub-aperture errors and accurately reconstruct the overall surface figure of the measured optical flat.
陶冰然;康岩辉;赵珈靓;王冰鹤
中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029中国计量科学研究院,北京 100029
通用工业技术
几何量计量子孔径拼接鲸鱼-粒子群复合算法误差分析
geometric metrologysub-aperture stitchingWOA-PSO hybrid algorithmerror analysis
《计量学报》 2026 (8)
1115-1123,9
国家重点研发计划NQI专项(2022YFF0607704)
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