Concentric circle grids for camera calibration with considering lens distortion

Bu, Lingbin; Huo, Hongtao; Liu, Xiaoyuan; Bu, Fanliang

doi:10.1016/j.optlaseng.2020.106527

Cited by 32 publications

(5 citation statements)

References 14 publications

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“…Our method was compared with a geometric-based algorithm 45 and an algebraic-based algorithm 46 to furtherly examine its performance of the feature extraction, both of which are used in newly published articles. The geometric-based algorithm uses the principle that the polar lines intersect at the center of the circles to establish an objective function to extract the center coordinates of the concentric circle.…”

Section: Circle Center Extraction Experiments and Results Analysismentioning

confidence: 99%

Conic tangents based high precision extraction method of concentric circle centers and its application in camera parameters calibration

Hao

Shi³

et al. 2021

Sci Rep

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A high-precision camera intrinsic parameters calibration method based on concentric circles was proposed. Different from Zhang’s method, its feature points are the centers of concentric circles. First, the collinearity of the projection of the center of concentric circles and the centers of two ellipses which are imaged from the concentric circles was proved. Subsequently, a straight line passing through the center of concentric circles was determined with four tangent lines of concentric circles. Finally, the projection of the center of concentric circles was extracted with the intersection of the straight line and the line determined by the two ellipse centers. Simulation and physical experiments are carried out to analyze the factors affecting the accuracy of circle center coordinate extraction and the results show that the accuracy of the proposed method is higher. On this basis, several key parameters of the calibration target design are determined through simulation experiments and then the calibration target is printed to calibrate a binocular system. The results show that the total reprojection error of the left camera is reduced by 17.66% and that of the right camera is reduced by 21.58% compared with those of Zhang’s method. Therefore, the proposed calibration method has higher accuracy.

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Section: Circle Center Extraction Experiments and Results Analysismentioning

confidence: 99%

Conic tangents based high precision extraction method of concentric circle centers and its application in camera parameters calibration

Hao

Shi³

et al. 2021

Sci Rep

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show abstract

“…The target-based calibration, the most widely used approach, relies on known geometric patterns. Traditional methods utilize specific calibration objects, such as checkerboards (Zhang, 2000), Concentric circle grids (Bu et al, 2021), or deltille grids (Ha et al, 2017). With the gradual popularization of deep learning technology, self-calibration methods enable automatic estimation of camera parameters without the need for external calibration equipment, significantly enhancing system flexibility and ease of use (Liao et al, 2023).…”

Section: Introductionmentioning

confidence: 99%

A Straightforward Camera Calibration Method Based on a Single Low-cost Cubical Target

Cai,

Xia,

Chan

2024

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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Abstract. Calibrating optical sensors with common targets facilitates the efficient and convenient acquisition of the sensor's internal parameters. In this paper, we present a new method of camera calibration utilizing a low-cost foamy cube, in a form of dice, which is based on the fact that arrangement of pip and cubical die surfaces is mutually orthogonal. Initially, each face and pips are identified through the color information on the die’s surfaces. Subsequently, the centers of pips are corrected using a circular projection model, and radial distortion coefficients are estimated based on centers’ one-to-one correspondences. After that, the tangent information between pairs of pips on orthogonal dice faces are utilized to compute vanishing points, leading to estimation of intrinsic parameters. Experimental results demonstrate that our method has similar effects compared to well-known checkerboard calibration method, reaching an average relative error of 2.43%, simplifying the calibration process in practical applications and showcasing good practicality and robustness.

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“…Because of their simple production and controllable accuracy, flat calibration plates are often used as targets in industrial applications instead of calibration blocks. Commonly used calibration-plate patterns include checkerboards, solid circles [ 9 ], and concentric rings. Recently, various templates have been proposed for this purpose [ 10 ].…”

Section: Introductionmentioning

confidence: 99%

Reprojection Error Analysis and Algorithm Optimization of Hand–Eye Calibration for Manipulator System

Peng,

Ren,

Gao

et al. 2023

Sensors

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The Euclidean distance error of calibration results cannot be calculated during the hand–eye calibration process of a manipulator because the true values of the hand–eye conversion matrix cannot be obtained. In this study, a new method for error analysis and algorithm optimization is presented. An error analysis of the method is carried out using a priori knowledge that the location of the augmented reality markers is fixed during the calibration process. The coordinates of the AR marker center point are reprojected onto the pixel coordinate system and then compared with the true pixel coordinates of the AR marker center point obtained by corner detection or manual labeling to obtain the Euclidean distance between the two coordinates as the basis for the error analysis. We then fine-tune the results of the hand–eye calibration algorithm to obtain the smallest reprojection error, thereby obtaining higher-precision calibration results. The experimental results show that, compared with the Tsai–Lenz algorithm, the optimized algorithm in this study reduces the average reprojection error by 44.43% and the average visual positioning error by 50.63%. Therefore, the proposed optimization method can significantly improve the accuracy of hand–eye calibration results.

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Concentric circle grids for camera calibration with considering lens distortion

Cited by 32 publications

References 14 publications

Conic tangents based high precision extraction method of concentric circle centers and its application in camera parameters calibration

Conic tangents based high precision extraction method of concentric circle centers and its application in camera parameters calibration

A Straightforward Camera Calibration Method Based on a Single Low-cost Cubical Target

Reprojection Error Analysis and Algorithm Optimization of Hand–Eye Calibration for Manipulator System

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