Volume 45 Issue 5
Jun.  2016
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Wang Yali, Wei Zhenzhong, Zhang Guangjun, Shao Mingwei. Calibration method for visual-guided laser tracker measurement system based on the Cayley transformation[J]. Infrared and Laser Engineering, 2016, 45(5): 517001-0517001(5). doi: 10.3788/IRLA201645.0517001
Citation: Wang Yali, Wei Zhenzhong, Zhang Guangjun, Shao Mingwei. Calibration method for visual-guided laser tracker measurement system based on the Cayley transformation[J]. Infrared and Laser Engineering, 2016, 45(5): 517001-0517001(5). doi: 10.3788/IRLA201645.0517001

Calibration method for visual-guided laser tracker measurement system based on the Cayley transformation

doi: 10.3788/IRLA201645.0517001
  • Received Date: 2015-09-21
  • Rev Recd Date: 2015-10-12
  • Publish Date: 2016-05-25
  • As for using just one laser tracker to measure several points, a new method of visual-guided laser tracking was presented. A camera was set on the top of the laser tracker, and rotates around the laser tracker's Z axis. When measuring, the camera rotated a single revolution with the laser tracker, and captured the positions of all the laser interferometers. The coordinates of the positions in the camera frame can be converted to the laser tracker frame, and then the laser designator projected a laser sheet to the laser interferometers. A planar round hole target was used, and the center of the holes were measured simultaneously by the camera and the laser tracker. The corresponding coordinates in the two frames which were processed using mean method becomes the corresponding vectors in the two frames. The translation of the two group vectors is the rotation matrix of the two frames. Using Cayley transformation, the rotation matrix of the two frames can be calculated, and then the whole relationship between the two frames can be obtained by using any two corresponding coordinates. The advances of the algorithm are the solving process is simple and the results are stable. Simulation is shown that, when the number of the target placing is more than 50, the influence of the image noise is stable, and the measuring error is less than 1 mm. The proposed method is simple, has strong stability, and has very high practical value.
  • [1] Mei Zhongyi, Zhu Sanshan, Yang Peng. Digital measurement of aircraft digital flexible assembly[J]. Aeronautical Manufacturing Systems, 2011, 17: 010. (in Chinese)
    [2] Wang J, Guo J. Algorithm for detecting volumetric geometric accuracy of NC machine tool by laser tracker[J]. Chinese Journal of Mechanical Engineering, 2013, 26(1): 166-175.
    [3] Jiang Xi, Zhang Li, Wang Liang, et al. Application of digital measurement technology in aircraft fuselage flexible assembly[J]. Aeronautical Manufacturing Systems, 2013(1): 93-97. (in Chinese)
    [4] Huang Yu. Tracker application during digital manufacturing of aircraft[J]. Aeronautical Manufacturing Systems, 2011, 6: 006. (in Chinese)
    [5] Wei Zhenzhong, Sun Wen, Zhang Guangjun, et al. Method for finding the 3D center positions of the target reflectors in laser tracking measurement system based on vision guiding[J]. Infrared and Laser Engineering, 2012, 41(4): 929-935. (in Chinese)
    [6] Wei Zhenzhong, Sun Wen, Zhang Guangjun, et al. Global calibration method for laser-tracking measurement system based on vision guiding[J]. Chinese Journal of Scientific Instrument, 2009, 30(11): 2262-2267. (in Chinese)
    [7] Zhang Z Y. A flexible new technique for camera calibration[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 2000, 22(11): 1330-1334.
    [8] Wu Fuchao. Computer Vision: Cayley Transformation and Metric Reconstruction[M]. Beijing: Science Press, 2011. (in Chinese)
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Calibration method for visual-guided laser tracker measurement system based on the Cayley transformation

doi: 10.3788/IRLA201645.0517001
  • 1. Department of Electronic and Information,Zhonghuan Information College,Tianjin University of Technology,Tianjin 300380,China;
  • 2. Key Laboratory of Precision Opto-mechatronics Technology,Ministry of Education,School of Instrument Science and Optoelectronics Engineering,Beihang University,Beijing 100191,China

Abstract: As for using just one laser tracker to measure several points, a new method of visual-guided laser tracking was presented. A camera was set on the top of the laser tracker, and rotates around the laser tracker's Z axis. When measuring, the camera rotated a single revolution with the laser tracker, and captured the positions of all the laser interferometers. The coordinates of the positions in the camera frame can be converted to the laser tracker frame, and then the laser designator projected a laser sheet to the laser interferometers. A planar round hole target was used, and the center of the holes were measured simultaneously by the camera and the laser tracker. The corresponding coordinates in the two frames which were processed using mean method becomes the corresponding vectors in the two frames. The translation of the two group vectors is the rotation matrix of the two frames. Using Cayley transformation, the rotation matrix of the two frames can be calculated, and then the whole relationship between the two frames can be obtained by using any two corresponding coordinates. The advances of the algorithm are the solving process is simple and the results are stable. Simulation is shown that, when the number of the target placing is more than 50, the influence of the image noise is stable, and the measuring error is less than 1 mm. The proposed method is simple, has strong stability, and has very high practical value.

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