基于蒙特卡罗方法的LED芯片定位系统误差分析
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摘要
该文根据LED芯片定位系统的特点,构建了从图像坐标系到芯片坐标系的数学模型。检测运动控制、图像处理过程以及标定过程中的误差分布,通过蒙特卡罗分析法估计LED芯片的定位误差,计算了各个测量变量对最终定位误差的敏感度。分析结果表明,绕z轴旋转角度误差为LED芯片定位系统误差的主要来源,图像处理误差以及运动控制误差对系统误差影响较小。因此,通过标定算法补偿绕z轴旋转角度误差是提高LED芯片定位精度的关键。
Based on the characteristics of the LED chip positioning system, a mathematical model from the image coordinate system to the chip coordinate system is established in this paper. The error distributions of motion control, image processing and calibration process have been measured. The positioning error of LED chip is estimated by Monte Carlo analysis method, and the sensitivity of each measurement variable to the final positioning error.is calculated. The analysis results show that the main error source in the LED chip positioning system is resulted from the angular error around the z axis, while the image processing error and motion control error have less influence on the system error. Therefore, compensating the rotation angle error around the z axis by the calibration algorithm is the key to improve the positioning accuracy of the LED chip.
Based on the characteristics of the LED chip positioning system, a mathematical model from the image coordinate system to the chip coordinate system is established in this paper. The error distributions of motion control, image processing and calibration process have been measured. The positioning error of LED chip is estimated by Monte Carlo analysis method, and the sensitivity of each measurement variable to the final positioning error.is calculated. The analysis results show that the main error source in the LED chip positioning system is resulted from the angular error around the z axis, while the image processing error and motion control error have less influence on the system error. Therefore, compensating the rotation angle error around the z axis by the calibration algorithm is the key to improve the positioning accuracy of the LED chip.
引文
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[2] 吴涛.LED芯片检测分选装备国产化指日可待[J].中国科技财富,2010(23):26-29.WU Tao.LED chip detection and sorting equipment localization is just around the corner[J].Chinese Science and Technology Wealth,2010(23):26-29.
[3] 李德龙,龚时华,王子悦,等.基于视觉伺服的LED芯片形状匹配算法研究[J].计算机工程与应用,2018,54(12):146-151.LI Delong,GONG Shihua,WANG Ziyue,et al.Research on shape matching algorithm of LED chip based on visual servo[J].Computer Engineering and Applications,2018,54(12):146-151.
[4] 李德龙,龚时华,王子悦.基于亚像素边缘检测的LED芯片定位算法研究[J].半导体光电,2017,38(3):369-374.LI Delong,GONG Shihua,WANG Ziyue,Research on positioning algorithm of LED chips based on sub-pixel edge detection[J].Semiconductor Optoelectronics,2017,38(3):369-374.
[5] 石伟,郗安民.LED芯片自动检测机构运动控制技术研究[J].科技创新导报,2007,34:34-35.SHI Wei,CHI Anmin.Research LED chip automatically detects movement control means[J].Science and Technology Innovation Report,2007,34:34-35.
[6] WANG Z,GONG S,LI D,et al.Error analysis and improved calibration algorithm for LED chip localization system based on visual feedback[J].International Journal of Advanced Manufacturing Technology,2017,92(9/12):1-10.
[7] 孙辉.机载光电平台目标定位与误差分析[J].中国光学,2013,6(6):912-918.SUN Hui.Target positioning and error analysis of airborne photoelectric platform[J].China Optics,2013,6(6):912-918.
[8] 徐诚,黄大庆.无人机光电侦测平台目标定位误差分析[J].仪器仪表学报,2013,34(10):2265-2270.XU Cheng,HUANG Daqing.Analysis of target positioning error of UAV photodetection platform[J].Chinese Journal of Scientific Instrument,2013,34(10):2265-2270.
[9] 叶敏,邹湘军,罗陆锋,等.荔枝采摘机器人双目视觉的动态定位误差分析[J].农业工程学报,2016,32(5):50-56.YE Min,ZHOU Xiangjun,LUO Lufeng,et al.Dynamic positioning error analysis of binocular vision of litchi picking robot[J].Journal of Agricultural Engineering,2016,32(5):50-56.
[10] 董辉跃,周华飞,尹富成.机器人自动制孔中绝对定位误差的分析与补偿[J].航空学报,2015,36(7):2475-2484.DONG Huiyue,ZHOU Huafei,YIN Fucheng.Analysis and compensation of absolute positioning error in robot automatic hole making[J].Journal of Aeronautics,2016,32(7):2475-2484.
[11] 刘琳,张兴德,贺谊亮.基于蒙特卡洛模拟法的红外光学系统公差分析[J].激光与红外,2010,40(5):496-499.LIU Lin,ZHANG Xingde,HE Yiliang.Tolerance analysis of infrared optical system based on Monte Carlo simulation method[J].Laser & Infrared,2010,40(5):496-499.
[12] 龚立雄,王灿林,余海军,等.基于频闪微视觉的MEMS微运动测试系统研究[J].重庆理工大学学报(自然科学),2017(7):74-79.GONG Lixiong,WANG Canlin,YU Haijun,et al.Research on micro movement test system of MEMS based on frequency-flash micro-vision[J].Journal of Chongqing University of Technology(Natural Science),2017(7):74-79.