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基于A-Zernike矩的精密运动平台定位误差校准方法OA

A-Zernike Moment Based Calibration Method for Positioning Errors of Precision Motion Stages

中文摘要英文摘要

针对光刻及类似精密装备中,微米级精密运动平台误差校准存在的精度不足、操作复杂且高成本方法普及难的问题,提出了一种基于A-Zernike矩(自适应梯度Zernike矩)的高性价比视觉校准方法.依据靶标形态特征筛选边缘初值,通过线性渐变模型、梯度采样与高斯拟合实现亚像素边缘的自适应提取,精确获取靶标中心位置.依据误差变化规律建立系统参数与靶标位置变化的关联模型,实现多参数联合标定.基于标定结果构建图像坐标与平台位移的转换关系,完成定位误差的解算与补偿.实验结果表明:A-Zernike矩边缘检测精度较传统方法的边缘检测精度提高了47.41%,校准后平台最大定位误差由15.601 μm降至0.783 μm.该方法显著提高了微米级运动平台的校准效率与可靠性.

To address the issues of insufficient accuracy,operational complexity,and the high cost of popularizing precision calibration methods for micrometer-level precision motion stages in lithography and similar precision equipment,a cost-effective visual calibration method was proposed based on adaptive gra-dient Zernike moments(A-Zernike moments).First,initial edge points were screened based on the morpho-logical features of the target.Adaptive extraction of sub-pixel edges was then achieved through a linear gra-dient model,gradient sampling,and Gaussian fitting,thereby accurately obtaining the target center posi-tion.Subsequently,by analyzing the variation patterns of errors,an association model was established be-tween system parameters and changes in target position to realize multi-parameter integrated calibration.Finally,based on the calibration results,a conversion relationship was constructed between image coordi-nates and stage displacement to accomplish the calculation and compensation of positioning errors.Experi-mental results show that the edge detection accuracy of the A-Zernike moment method is improved by 47.41%compared with traditional methods,and the maximum positioning error of the stage is reduced from 15.601 μm to 0.783 μm after calibration.The proposed method significantly enhances the calibration efficiency and reliability of micrometer-level motion stages.

邓书朝;胡奥康;童宝宏;郑近德;王璐

安徽工业大学机械工程学院,马鞍山,243032||特殊服役环境的智能装备制造国际科技合作基地,马鞍山,243032安徽工业大学机械工程学院,马鞍山,243032安徽工业大学机械工程学院,马鞍山,243032||特殊服役环境的智能装备制造国际科技合作基地,马鞍山,243032安徽工业大学机械工程学院,马鞍山,243032安徽工业大学机械工程学院,马鞍山,243032

信息技术与安全科学

精密运动平台自适应梯度Zernike矩误差校准视觉测量联合标定

precision motion stageadaptive gradient Zernike momenterror calibrationvisual mea-surementintegrated calibration

《中国机械工程》 2026 (9)

2092-2100,9

安徽高校协同创新项目(GXXT-2023-023,GXXT-2022-082)马鞍山市科技攻关项目(CSJ202303)

10.3969/j.issn.1004-132X.2026.09.002

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