Author Affiliations
1School of Mechanical Engineering,Shenyang Jianzhu University, Shenyang, Liaoning 110168, China2State Key Laboratory of Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Chinashow less
Fig. 1. Coordinate systems of measurement system. (a) Camera coordinate system and telescope coordinate system; (b) relationship between camera coordinate system, telescope coordinate system, and total station coordinate system
Fig. 2. Schematic of thick lens imaging
Fig. 3. Measurement of object image distance Lw
Fig. 4. Calibration of single station parameters outside main distance
Fig. 5. Three-dimensional shape measurement process of proposed method
Fig. 6. Control field
Fig. 7. Image of calibration board
Fig. 8. Reconstruction results. (a) Front; (b) left; (c) right
Fig. 9. Coding targets used for accuracy check on the measured object
Fig. 10. Length reconstruction error. (a) Absolute error in length; (b) relative error in length
Fig. 11. Angle reconstruction error
Parameter description | Sign |
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Perspective imaging intrinsic parameter | au、u0、q、v0、s | Lens distortion parameter | k1、k2 | Telescope's pose parameterrelative to the camera | θ、φ、ω、tctx、tcty、tctz | Pose parameter betweendifferent stations | β、tsrslx、tsrsly、tsrslz |
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Table 1. Parameters to be determined in the combined measurement system
ParameterResult | au /pixel | u0 /pixel | q | v0 /pixel | s /pixel | k1 | k2 |
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16878 | 1925 | 1.0 | 1288 | 36 | -8.5×10-10 | -2.2×10-17 |
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ParameterResult | θ /(°) | φ /(°) | ω /(°) | tctx /mm | tcty /mm | tctz /mm | | 188.5 | -87.9 | -99.1 | -2.5 | -257.9 | -34.1 | |
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Table 2. Calibration results of single station parameters
Inter-stationparameters | β/(°) | tsrslx /mm | tsrsly /mm | tsrslz /mm |
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S2S1 | -6.82 | 51.8 | 4061.3 | -26.0 | S3S1 | -13.76 | 95.2 | 7829.5 | -17.9 | S4S1 | -12.41 | -1508.1 | -3739.2 | 402.6 | S5S1 | 154.64 | 5326.6 | 5715.8 | 420.9 |
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Table 3. Calibration results of parameters between stations