• Chinese Optics Letters
  • Vol. 13, Issue 12, 121501 (2015)
Fuqiang Zhou*, Xinghua Chai, Tao Ye, and Xin Chen
Author Affiliations
  • Key Laboratory of Precision Opto-mechatronics Technology, Ministry of Education, Beihang University, Beijing 100191, China
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    DOI: 10.3788/COL201513.121501 Cite this Article Set citation alerts
    Fuqiang Zhou, Xinghua Chai, Tao Ye, Xin Chen. Two-dimensional vision measurement approach based on local sub-plane mapping[J]. Chinese Optics Letters, 2015, 13(12): 121501 Copy Citation Text show less
    Video extensometer principle based on 2D vision measurement.
    Fig. 1. Video extensometer principle based on 2D vision measurement.
    Process diagram of sub-planes: (a) calibration target with 6×22 point fixed to coincide with the specimen surface, (b) extract and save sub-pixel coordinates of every reference point from the target image, and (c) establish the mapping model between each image sub-plane and measurement plane.
    Fig. 2. Process diagram of sub-planes: (a) calibration target with 6×22 point fixed to coincide with the specimen surface, (b) extract and save sub-pixel coordinates of every reference point from the target image, and (c) establish the mapping model between each image sub-plane and measurement plane.
    Schematic of coordinate location method in sub-plane.
    Fig. 3. Schematic of coordinate location method in sub-plane.
    Effects of the lens distortion: (a) real chessboard image and image with lens distortion and (b) pixel deviations before and after image distortion.
    Fig. 4. Effects of the lens distortion: (a) real chessboard image and image with lens distortion and (b) pixel deviations before and after image distortion.
    Relationship between sub-planes interval and mapping accuracy, obtained using lens with first distortion coefficient k1=4.1×10−8: (a) fixed interval deviation distribution in whole view range 400 mm×400 mm and (b) relationship between maximum deviation and sub-planes interval.
    Fig. 5. Relationship between sub-planes interval and mapping accuracy, obtained using lens with first distortion coefficient k1=4.1×108: (a) fixed interval deviation distribution in whole view range 400mm×400mm and (b) relationship between maximum deviation and sub-planes interval.
    Principle of the out-plane effects.
    Fig. 6. Principle of the out-plane effects.
    Process of measurement experiment: (a) calibration target fixed on stretching machine, (b) image for calibration, (c) matrix of circular center, (d) displacement measurement using two methods, (e) 81 pixels × 81 pixels correlation subset, and (f) gauge length measurement.
    Fig. 7. Process of measurement experiment: (a) calibration target fixed on stretching machine, (b) image for calibration, (c) matrix of circular center, (d) displacement measurement using two methods, (e) 81 pixels × 81 pixels correlation subset, and (f) gauge length measurement.
    Comparative results for calibration accuracy using the two methods.
    Fig. 8. Comparative results for calibration accuracy using the two methods.
    Calibration AccuracyNumberMaximum (μm)Minimum (μm)Average (μm)Maximum (%)Minimum (%)
    Local Sub-PlaneX1361.940.001.000.320.00
    Mapping MethodY1362.160.001.000.360.00
    Geometric SimilarityX13628.080.1212.224.680.02
    MethodY13627.620.1513.074.600.03
    Table 1. Comparison of Calibration Accuracy
    Displacement Measurement/μmData Comparison
    Proposed Method1032173544966157499051103
    DIC Method1022173595016167509091104
    Real Data103.7218.2356.1497.8614.3747.7907.11101.5
    Table 2. Comparison of Displacement Measurement Accuracy
    Gauge Length Measurement/μmData Comparison
    Proposed Method59981199518008240143599159,98484,017
    Real Data60001200018000240003600060,00084,000
    Table 3. Comparison of Gauge Length Measurement Accuracy
    Fuqiang Zhou, Xinghua Chai, Tao Ye, Xin Chen. Two-dimensional vision measurement approach based on local sub-plane mapping[J]. Chinese Optics Letters, 2015, 13(12): 121501
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