• Acta Optica Sinica
  • Vol. 42, Issue 23, 2312004 (2022)
Lijun Sun1、2、3, Qiangqiang Guo1、2、3, and Tianfei Chen1、2、3、*
Author Affiliations
  • 1Key Laboratory of Grain Information Processing and Control of Ministry of Education, Henan University of Technology, Zhengzhou 450001, Henan , China
  • 2Zhengzhou Key Laboratory of Machine Perception and Intelligent System, Henan University of Technology, Zhengzhou 450001, Henan , China
  • 3College of Information Science and Engineering, Henan University of Technology, Zhengzhou 450001, Henan , China
  • show less
    DOI: 10.3788/AOS202242.2312004 Cite this Article Set citation alerts
    Lijun Sun, Qiangqiang Guo, Tianfei Chen. Nonmetric Correction Method for Lens Distortion Based on Collinear Vanishing Point Constraint[J]. Acta Optica Sinica, 2022, 42(23): 2312004 Copy Citation Text show less
    Radial distortion. (a) Ideal image with no distortion; (b) pin-cushion distortion; (c) barrel distortion
    Fig. 1. Radial distortion. (a) Ideal image with no distortion; (b) pin-cushion distortion; (c) barrel distortion
    Schematic of vanishing point
    Fig. 2. Schematic of vanishing point
    Target diagrams. (a) Target diagram on space plane; (b) target projection and vanishing point schematic on image plane
    Fig. 3. Target diagrams. (a) Target diagram on space plane; (b) target projection and vanishing point schematic on image plane
    Specific steps of proposed method
    Fig. 4. Specific steps of proposed method
    Original images of checkerboard targets. (a) Image 1; (b) image 2; (c) image 3
    Fig. 5. Original images of checkerboard targets. (a) Image 1; (b) image 2; (c) image 3
    Corrected images using proposed method. (a) Image 1; (b) image 2; (c) image 3
    Fig. 6. Corrected images using proposed method. (a) Image 1; (b) image 2; (c) image 3
    Comparison of distorted-point and corrected-point. (a) Image 1; (b) image 2; (c) image 3
    Fig. 7. Comparison of distorted-point and corrected-point. (a) Image 1; (b) image 2; (c) image 3
    Feature point selection. (a) An image of a chessboard; (b) detected grid (select the red dot of each line to calculate the CR of the line)
    Fig. 8. Feature point selection. (a) An image of a chessboard; (b) detected grid (select the red dot of each line to calculate the CR of the line)
    Comparison of ASE
    Fig. 9. Comparison of ASE
    Comparison of distortion correction results by different methods. (a) Image 1; (b) image 2; (c) image 3
    Fig. 10. Comparison of distortion correction results by different methods. (a) Image 1; (b) image 2; (c) image 3
    Comparison of correction effect (CR). (a) Image 1; (b) image 2; (c) image 3
    Fig. 11. Comparison of correction effect (CR). (a) Image 1; (b) image 2; (c) image 3
    ImageRow No.R0RoriginRundcRdcΔRoriginΔRundcΔRdc
    Image 111.56251.53721.56091.56140.02530.00160.0011
    21.56251.53551.56151.56190.02700.00100.0006
    31.56251.53591.56241.56270.02660.00010.0002
    41.56251.53591.56271.56290.02660.00020.0004
    51.56251.53711.56241.56280.02540.00010.0003
    61.56251.53691.56111.56190.02560.00140.0006
    Image 211.56251.53831.56141.56210.02420.00110.0004
    21.56251.53761.56081.56280.02490.00170.0003
    31.56251.53771.56121.56260.02480.00130.0001
    41.56251.53791.56161.56240.02460.00090.0001
    51.56251.53771.56141.56260.02480.00110.0001
    61.56251.53721.56061.56270.02530.00190.0002
    Image 311.56251.53641.56231.56260.02610.00020.0001
    21.56251.53521.56191.56200.02730.00060.0005
    31.56251.53591.56241.56260.02660.00010.0001
    41.56251.53741.56291.56280.02510.00040.0003
    51.56251.53621.56201.56210.02630.00050.0004
    61.56251.53691.56151.56180.02560.00100.0007
    Average1.56251.53681.56171.56240.02570.00080.0004
    Table 1. Comparison of CR
    Coefficientk1 /10-8k2 /10-13p1 /10-5p2 /10-6s1 /10-5s2 /10-6cxcy
    Model before correction-2.33360.00425.88301.88241.1894-5.0863400300
    Model after correction-2.41450.54503.05992.94982.02190.5907430.2705283.5048
    Table 2. Coefficients of distortion model
    ImageE0E[23]E[28]EPM
    Average0.02460.00800.00960.0018
    Image 10.02530.00990.01080.0025
    Image 20.02400.00780.00940.0013
    Image 30.02450.00620.00860.0017
    Table 3. Comparison of ASE
    Lijun Sun, Qiangqiang Guo, Tianfei Chen. Nonmetric Correction Method for Lens Distortion Based on Collinear Vanishing Point Constraint[J]. Acta Optica Sinica, 2022, 42(23): 2312004
    Download Citation