Infrared and Laser Engineering, Volume. 51, Issue 12, 20220282(2022)
Mechanical-imaging comprehensive error modeling in line scan vision detection systems
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Fig. 6. Measured sensitivity and theoretical plot of
Fig. 7. Measured sensitivity and theoretical plot of
Table 1. Mechanical error sources in the line scan vision detection system
View tableView in ArticleTable 1. Mechanical error sources in the line scan vision detection system
Class Line error Rotation error Direction x y z A B C 1-2 position δ12x δ12y δ12z ε12x ε12y ε12z 2-3 position δ23x δ23y δ23z ε23x ε23y ε23z 2-3 motion δ23sx δ23sy δ23sz ε23sx ε23sy ε23sz 3-4 position δ34x δ34y δ34z ε34x ε34y ε34z 1-5 position δ15x δ15y δ15z ε15x ε15y ε15z 5-6 position δ56x δ56y δ56z ε56x ε56y ε56z
Table 2. Error sources that affect
x -direction image errors and their sensitivityView tableView in ArticleTable 2. Error sources that affect
x -direction image errors and their sensitivityθi Si θi Si δ12x 1 ε15y z15−z12−z23−z34 δ23x 1 ε56y z15+z56−z12−z23−z34 δ23sx 1 ε12z −y δ34x 1 ε23z −y δ15x −1 ε23sz −y δ56x −1 ε34z −y ε12y z23+z34 ε15z y ε23y z34 ε56z y ε23sy z34 - -
Table 3. Error sources that affect
y -direction image errors and their sensitivityView tableView in ArticleTable 3. Error sources that affect
y -direction image errors and their sensitivityθi Si θi Si δ12y −D(y)f/(L−f) ε23sy ≈D(y)fxy/(L−f)2 δ23y −D(y)f/(L−f) ε34y ≈D(y)fxy/(L−f)2 δ23sy −D(y)f/(L−f) ε12x ≈D(y)(f(z23+z34) /(L−f)−fy2/(L−f)2) δ34y −D(y)f/(L−f) δ15y D(y)f/(L−f) ε23x ≈D(y)(fz34/(L−f) −fy2/(L−f)2) δ56y D(y)f/(L−f) δ12z ≈−D(y)fy/(L−f)2 ε23sx ≈D(y)(fz34/(L−f) −fy2/(L−f)2) δ23z ≈−D(y)fy/(L−f)2 δ23sz ≈−D(y)fy/(L−f)2 ε34x ≈−D(y)fy2/(L−f)2 δ34z ≈−D(y)fy/(L−f)2 ε15x ≈D(y)(fy2/(L−f)2 +f(z15−z12−z23 −z34)/(L−f)) δ15z ≈D(y)fy/(L−f)2 δ56z ≈D(y)fy/(L−f)2 ε23sz −D(y)fx/(L−f) ε56x ≈D(y)(fy2/(L−f)2 +fL/(L−f)) ε34z −D(y)fx/(L−f)
Table 4. Parameters of the line scan vision detection system
View tableView in ArticleTable 4. Parameters of the line scan vision detection system
Parameter Meaning Value z12 z-direction distance between body 1 and 2/mm 140 z23 z-direction distance between body 2 and 3/mm 30 z34 z-direction distance between body 3 and 4/mm 0 z15 z-direction distance between body 1 and 5/mm 625 z56 z-direction distance between body 5 and 6/mm −70 L Distance between the camera and the object/mm 385 f Focal length/mm 72 k1 Distortion coefficient/mm 8.64×10−3 Object size Maximum size of the object/mm 300×300
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Yuxuan Chen, Zhongjun Qiu, Junjie Tang. Mechanical-imaging comprehensive error modeling in line scan vision detection systems[J]. Infrared and Laser Engineering, 2022, 51(12): 20220282
Paper Information
Category: Photoelectric measurement
Received: May. 20, 2022
Accepted: --
Published Online: Jan. 10, 2023
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