• Acta Optica Sinica
  • Vol. 38, Issue 7, 0715003 (2018)
Yaowen Lü1、*, Wei Liu2, Bojun Du3、4, and Xipin Xu1
Author Affiliations
  • 1 Key Laboratory of Optoelectric Measurement and Optical Information Transmission Technology of Ministry of Education, School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China
  • 2 College of Communications Engineering, Jilin University, Changchun, Jilin 130033, China
  • 3 College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China
  • 4 Baicheng Ordnance Test Center of China, Baicheng, Jilin 137001, China
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    DOI: 10.3788/AOS201838.0715003 Cite this Article Set citation alerts
    Yaowen Lü, Wei Liu, Bojun Du, Xipin Xu. Further Study and Application for One-Dimensional Homography Matrix[J]. Acta Optica Sinica, 2018, 38(7): 0715003 Copy Citation Text show less
    A motion rotating around a fixed point which converts from planar motion by Ref.[6] method. (a) 3D space motion plane; (b) image plane
    Fig. 1. A motion rotating around a fixed point which converts from planar motion by Ref.[6] method. (a) 3D space motion plane; (b) image plane
    Cross ratio invariant of 1D homograph
    Fig. 2. Cross ratio invariant of 1D homograph
    1D calibration with planar motion based on homography. (a) 3D space motion plane; (b) image plane
    Fig. 3. 1D calibration with planar motion based on homography. (a) 3D space motion plane; (b) image plane
    Effect of noise level on linear calibration precision. (a) Proposed method; (b) Ref.[6] method
    Fig. 4. Effect of noise level on linear calibration precision. (a) Proposed method; (b) Ref.[6] method
    Effect of motion number on calibration precision. (a) Proposed method; (b) Ref.[6] method
    Fig. 5. Effect of motion number on calibration precision. (a) Proposed method; (b) Ref.[6] method
    Calibration image with 1D planar motion
    Fig. 6. Calibration image with 1D planar motion
    voMethodParameterfufvγuo
    ProposedMethodGround truth2305.02301.50(90°)637.0514.4
    Closed-form2578.92578.60(90°)609.1473.6
    Error /%11.8812.0401.211.79
    Nonlinear2383.12385.30(90°)604.8494.6
    Error /%3.423.6101.390.86
    Method ofRef.[6]Closed-form2786.42788.50(90°)610.5570.6
    Error /%20.8821.1601.152.43
    Nonlinear2563.22565.70(90°)501.2530.5
    Error /%11.2011.4805.500.70
    Table 1. Calibration results of real image
    Yaowen Lü, Wei Liu, Bojun Du, Xipin Xu. Further Study and Application for One-Dimensional Homography Matrix[J]. Acta Optica Sinica, 2018, 38(7): 0715003
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