Nonmetric Correction Method for Lens Distortion Based on Collinear Vanishing Point Constraint

Lijun Sun; Qiangqiang Guo; Tianfei Chen

doi:10.3788/AOS202242.2312004

Acta Optica Sinica, Volume. 42, Issue 23, 2312004(2022)

Nonmetric Correction Method for Lens Distortion Based on Collinear Vanishing Point Constraint

Lijun Sun^1,2,3, Qiangqiang Guo^1,2,3, and Tianfei Chen^1,2,3、*

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

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Figures & Tables(14)

Fig. 1. Radial distortion. (a) Ideal image with no distortion; (b) pin-cushion distortion; (c) barrel distortion

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Fig. 2. Schematic of vanishing point

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Fig. 3. Target diagrams. (a) Target diagram on space plane; (b) target projection and vanishing point schematic on image plane

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Fig. 4. Specific steps of proposed method

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Fig. 5. Original images of checkerboard targets. (a) Image 1; (b) image 2; (c) image 3

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Fig. 6. Corrected images using proposed method. (a) Image 1; (b) image 2; (c) image 3

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Fig. 7. Comparison of distorted-point and corrected-point. (a) Image 1; (b) image 2; (c) image 3

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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)

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Fig. 9. Comparison of ASE

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Fig. 10. Comparison of distortion correction results by different methods. (a) Image 1; (b) image 2; (c) image 3

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Fig. 11. Comparison of correction effect (CR). (a) Image 1; (b) image 2; (c) image 3

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Table 1. Comparison of CR

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Table 1. Comparison of CR

Image	Row No.	R₀	R_origin	R_undc	R_dc	ΔR_origin	ΔR_undc	ΔR_dc
Image 1	1	1.5625	1.5372	1.5609	1.5614	0.0253	0.0016	0.0011
	2	1.5625	1.5355	1.5615	1.5619	0.0270	0.0010	0.0006
	3	1.5625	1.5359	1.5624	1.5627	0.0266	0.0001	0.0002
	4	1.5625	1.5359	1.5627	1.5629	0.0266	0.0002	0.0004
	5	1.5625	1.5371	1.5624	1.5628	0.0254	0.0001	0.0003
	6	1.5625	1.5369	1.5611	1.5619	0.0256	0.0014	0.0006
Image 2	1	1.5625	1.5383	1.5614	1.5621	0.0242	0.0011	0.0004
	2	1.5625	1.5376	1.5608	1.5628	0.0249	0.0017	0.0003
	3	1.5625	1.5377	1.5612	1.5626	0.0248	0.0013	0.0001
	4	1.5625	1.5379	1.5616	1.5624	0.0246	0.0009	0.0001
	5	1.5625	1.5377	1.5614	1.5626	0.0248	0.0011	0.0001
	6	1.5625	1.5372	1.5606	1.5627	0.0253	0.0019	0.0002
Image 3	1	1.5625	1.5364	1.5623	1.5626	0.0261	0.0002	0.0001
	2	1.5625	1.5352	1.5619	1.5620	0.0273	0.0006	0.0005
	3	1.5625	1.5359	1.5624	1.5626	0.0266	0.0001	0.0001
	4	1.5625	1.5374	1.5629	1.5628	0.0251	0.0004	0.0003
	5	1.5625	1.5362	1.5620	1.5621	0.0263	0.0005	0.0004
	6	1.5625	1.5369	1.5615	1.5618	0.0256	0.0010	0.0007
Average		1.5625	1.5368	1.5617	1.5624	0.0257	0.0008	0.0004

Table 2. Coefficients of distortion model

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Table 2. Coefficients of distortion model

Coefficient	k₁ /10^-8	k₂ /10^-13	p₁ /10^-5	p₂ /10^-6	s₁ /10^-5	s₂ /10^-6	c_x	c_y
Model before correction	-2.3336	0.0042	5.8830	1.8824	1.1894	-5.0863	400	300
Model after correction	-2.4145	0.5450	3.0599	2.9498	2.0219	0.5907	430.2705	283.5048

Table 3. Comparison of ASE
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Table 3. Comparison of ASE
Image E₀ E_［23］ E_［28］ E_PM
Average 0.0246 0.0080 0.0096 0.0018
Image 1 0.0253 0.0099 0.0108 0.0025
Image 2 0.0240 0.0078 0.0094 0.0013
Image 3 0.0245 0.0062 0.0086 0.0017

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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

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