Optics and Precision Engineering, Volume. 32, Issue 16, 2577(2024)
Image correction for perspective distortion of cylindrical surfaces at arbitrary poses
Figures & Tables(14)
Fig. 2. Process of correcting perspective projection distortion in cylindrical surface images
Fig. 5. Angular error in pose measurement of cylinders with different radii
Fig. 6. Distance error in pose measurement of cylinders with different radii
Fig. 7. Comparison of correction results for cylindrical surface perspective distortion
Table 1. Iterative table for single cylindrical surface pose estimation
View tableView in ArticleTable 1. Iterative table for single cylindrical surface pose estimation
Iterations d/mm ψ/mm α/（°） β/（°） Sw 0 187.33 10.81 -7.105 0.3436 -89.687 1 187.83 9.81 -8.106 0.844 -56.527 2 188.33 10.31 -7.606 1.344 -25.528 3 188.83 10.81 -37.856 1.844 -19.970 4 189.33 10.56 -8.106 2.344 -15.523 5 189.08 10.69 -7.981 2.094 3.008 6 189.08 10.69 -8.043 2.219 -6.288 7 189.08 10.69 -8.012 2.344 -2.953 8 189.08 10.81 -8.012 2.344 0.494 9 189.08 10.75 -8.012 2.469 -1.833 10 189.08 10.69 -8.012 2.406 2.733 11 189.08 10.72 -8.012 2.344 2.208 12 189.08 10.72 -8.012 2.344 -0.084
Table 2. Comparison of standard deviations of checkerboard corner distances
View tableView in ArticleTable 2. Comparison of standard deviations of checkerboard corner distances
Image
Number
Original image Proposed method Contrast method 1 Contrast method 2 Contrast method 3 Standard deviation Standard deviation Standard deviation Standard deviation Standard deviation Fig.7 （a）12.6 0.8 1.6 2.8 1.8 Fig.7 （b）13.2 1.1 3.9 1.3 1.4 Fig.7 （c）10.9 0.8 1.1 2.8 - Fig.7 （d）9.9 1.2 6.9 9.0 - Fig.7 （e）13.3 0.8 1.4 0.7 2.4 Fig.7 （f）13.4 0.7 2.7 1.7 1.3 Fig.7 （g）9.3 0.7 1.5 0.6 - Fig.7 （h）14.7 0.5 7.6 7.8 -
Table 2. Pose estimation error results for cylindrical surfaces with different radii
View tableView in ArticleTable 2. Pose estimation error results for cylindrical surfaces with different radii
Radius/mm RMSEΔθ/（°） RMSEΔd/mm 45 0.56 0.3 37.5 0.50 0.3 33 0.61 0.3 25 0.65 0.3
Table 3. Comparison of maximum errors in checkerboard corner distances
View tableView in ArticleTable 3. Comparison of maximum errors in checkerboard corner distances
Image
Number
Original image Proposed method Contrast method 1 Contrast method 2 Contrast method 3 Maximum errors Maximum errors Maximum errors Maximum errors Maximum errors Fig.7 （a）40.4% 3.4% 5.1% 12.8% 11.3% Fig.7 （b）32.2% 6.9% 10.2% 7.9% 8.6% Fig.7 （c）29.0% 3.8% 2.3% 13.0% - Fig.7 （d）24.2% 6.1% 19.6% 48.3% - Fig.7 （e）52.8% 6.6% 11.4% 4.2% 26.3% Fig.7 （f）55.3% 3.9% 12.4% 10.1% 10.0% Fig.7 （g）30.4% 3.7% 7.8% 3.8% - Fig.7 （h）51.2% 2.2% 49.4% 61.2% -
Table 4. Comparison of Detection Results Before and After Image Correction in Actual Scenes
View tableView in ArticleTable 4. Comparison of Detection Results Before and After Image Correction in Actual Scenes
Image
number
Correction target Truth value /mm Measured mean value /mm Error/% OCR recognition Before
correction
After
correction
Before
correction
After
correction
Before
correction
After
correction
Fig.8 （a）Distorted text - - - - - Failure Successful Fig.8 （b）Distorted text - - - - - Failure Successful Fig.8 （c）Surface damage 28.6 22.7 28.7 20.6% 0.3% - - Fig.8 （d）Surface scratch 1 117.1 110.9 117.1 5.3% 0.0% - - Surface scratch 1 119 110.1 118.9 7.5% 0.1% - -
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Zhiwei DUAN, Xiaohua XIA, Pengcheng HE, Peng HU. Image correction for perspective distortion of cylindrical surfaces at arbitrary poses[J]. Optics and Precision Engineering, 2024, 32(16): 2577
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Received: Mar. 11, 2024
Accepted: --
Published Online: Nov. 18, 2024
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