Volume 14 Issue 2
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Chinese Optics  > 2021  >  14(2): 320-328.
YANG Jian-bai, ZHAO Jian, SUN Qiang. Projector calibration based on cross ratio invariance[J]. Chinese Optics, 2021, 14(2): 320-328. doi: 10.37188/CO.2020-0111
Citation: YANG Jian-bai, ZHAO Jian, SUN Qiang. Projector calibration based on cross ratio invariance[J]. Chinese Optics, 2021, 14(2): 320-328. doi: 10.37188/CO.2020-0111
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Projector calibration based on cross ratio invariance

  • 1.

    Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China

  • 2.

    University of Chinese Academy of Sciences, Beijing 100049, China

Funds:  Supported by National Key Research and Development Project (No. 2018YFC0308100, No. 2018YFC0307900), The Projects of Science Technology Development Plan of Jilin Province (No. 20190302102GX, No. 20180201048GX), Youth Innovation Promotion Association CAS (No. 2019226)
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  • Corresponding author: zhaojian6789@126.com
  • Received Date: 29 Jun 2020
  • Rev Recd Date: 12 Aug 2020
    • Available Online: 05 Mar 2021
  • Publish Date: 23 Mar 2021
    Abstract
  • In order to improve the accuracy of the projector calibration in 3D shape measurement using digital fringe projection, a new projector calibration method that combines secondary projection technology and cross-ratio invariance is proposed. The secondary projection technology is used to solve the mutual interference between the projection pattern and the calibration pattern, and the cross-ratio invariance method is used to avoid introducing camera calibration error. A comparative experiment is carried out to verify the effectiveness of the proposed method. Compared with the traditional method of projector calibration that requires camera parameters and that using global homography, the RMS values of reprojection error of this method is reduced from (0.2275, 0.2264) and (0.1397, 0.0997) pixels to (0.0645, 0.0601) pixels, and the maximum value of the reprojection error is reduced from 1.222 pixels and 0.5617 pixels to 0.2421 pixels. In addition, this method allows the camera to be simultaneously calibrated during operation, and therefore the parameters of the entire 3D measurement system can be acquired. The above results show that the method proposed in this paper can prevent error propagation of camera calibration parameters and improve the calibration accuracy of a projector.

     

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