Three Degrees of Freedom Global Calibration Method for Measurement Systems with Binocular Vision

Xu, Guolin; Zhang, Mengjie; Li, Xiaotao; Su, Jian; Lu, Xue; Liu, Huanping; Hao, Zhaobing

doi:10.3807/josk.2016.20.1.107

Cited by 15 publications

(8 citation statements)

References 34 publications

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“…For a 3D point X in the world coordinate system, the 2D projective point x in the captured image is expressed by 20 , 21 where P = A CI [R WC t WC ] is the transform matrix from the world coordinate system to the image coordinate system and calibrated by the 3D reference 20 . A CI = [A ij ] 3×3 is the intrinsic matrix of the camera.…”

Section: Methodsmentioning

confidence: 99%

Optimization reconstruction of projective point of laser line coordinated by orthogonal reference

Yuan

et al. 2017

Sci Rep

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A 3D reconstruction method is presented for the laser projective point of a laser line, which is located by an orthogonal reference. The laser line is initially expressed by the Plücker matrix generated from two random points on the line and then transformed to the dual Plücker matrix representation. The initial solution of the 3D laser point is obtained by the non-homogeneous linear equations, which are derived from the projection geometry of the 3D feature point on the reference and the 3D laser point on the laser line represented by the dual Plücker matrix. The optimization function is constructed by minimizing the sums of the re-projection errors of the reference points and the laser point. The average absolute error of the initial solution is 1.07 mm while the one of the optimization solution is 1.01 mm. The average relative error of the initial solution is 4.14% while the one of the optimization solution is 3.86%. Thus, the optimization reconstruction of the projective point contributes the accuracy and the prospect in the vision-based inspection fields.

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Section: Methodsmentioning

confidence: 99%

Optimization reconstruction of projective point of laser line coordinated by orthogonal reference

Yuan

et al. 2017

Sci Rep

Self Cite

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“…The dual-line array CCD intersection measurement technique is a commonly employed non-contact measurement method, characterized by its simple measurement principle [4] , engineering feasibility, high measurement accuracy, and capability to measure multiple targets [5]. In order to enhance the output precision of the dual-line array camera collimation measurement system, this study undertakes a constructional investigation of the said system [6]. By conducting theoretical analysis and simulations on the measurement errors of projectile impact positions, this study places a focus on analyzing the magnitudes and trends of error influences stemming from each error-inducing factor on the measurement of impact point coordinates [7] .…”

Section: Introductionmentioning

confidence: 99%

Construction and error analysis of dual linear array camera target measurement system in long-range target range

liu,

Feng,

Zhang

2024

Speckle 2023: VIII International Conference on Speckle Metrology

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In order to achieve precision in the long-distance target track measurement of projectile trajectories, high accuracy of coordinate outputs from multiple measurement planes in the target track space is required. The dual-line array camera collimation measurement system not only ensures the accuracy of output coordinates but also simplifies the calibration process. Through a comprehensive analysis of the dual-line array camera collimation measurement system, including the principle of intersection measurement, calibration of the line array camera, and error analysis of the entire measurement system, theoretical and experimental foundations are provided for the overall system design. By analyzing the principle of intersection measurement, deriving the projectile coordinate formula, and analyzing various parameters based on the coordinate formula, the calibration method for the camera is designed. This calibration method only requires calibrating the distortion coefficients, optical axis inclination angle, and camera principal point, making the calibration process simple and efficient. After calibration, the entire intersection measurement system was subjected to simulated error analysis using MATLAB software. This analysis aimed to comprehend the magnitude and trends of error influences from various factors on the measurement of impact point coordinates, as well as the distribution of errors within the 3m×3m measurement plane. Experimental results reveal that the constructed dual-line array camera intersection measurement system performs with an x-direction accuracy better than 3.8mm and a y-direction accuracy better than 3.0mm on the 3m×3m measurement plane. The experimental coordinate measurement errors align with the results obtained from theoretical analysis.

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“…As a result, it has an influence on the versatility of the method. In multi-vision, the calibration between cameras is the key link, which determines the accuracy of measurements [ 43 ]. The commonly used calibration methods include the Zhang Zhengyou calibration method, Direct Linear Transformation (DLT) method, and so on, among which the Zhang Zhengyou calibration method is widely used because of its ease of operation and accuracy.…”

Section: Introductionmentioning

confidence: 99%

Multi-Camera-Based Universal Measurement Method for 6-DOF of Rigid Bodies in World Coordinate System

Zhao

Zhu

et al. 2020

Sensors

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The measurement of six-degrees-of-freedom (6-DOF) of rigid bodies plays an important role in many industries, but it often requires the use of professional instruments and software, or has limitations on the shape of measured objects. In this paper, a 6-DOF measurement method based on multi-camera is proposed, which is accomplished using at least two ordinary cameras and is made available for most morphological rigid bodies. First, multi-camera calibration based on Zhang Zhengyou’s calibration method is introduced. In addition to the intrinsic and extrinsic parameters of cameras, the pose relationship between the camera coordinate system and the world coordinate system can also be obtained. Secondly, the 6-DOF calculation model of proposed method is gradually analyzed by the matrix analysis method. With the help of control points arranged on the rigid body, the 6-DOF of the rigid body can be calculated by the least square method. Finally, the Phantom 3D high-speed photogrammetry system (P3HPS) with an accuracy of 0.1 mm/m was used to evaluate this method. The experiment results show that the average error of the rotational degrees of freedom (DOF) measurement is less than 1.1 deg, and the average error of the movement DOF measurement is less than 0.007 m. In conclusion, the accuracy of the proposed method meets the requirements.

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Three Degrees of Freedom Global Calibration Method for Measurement Systems with Binocular Vision

Cited by 15 publications

References 34 publications

Optimization reconstruction of projective point of laser line coordinated by orthogonal reference

Optimization reconstruction of projective point of laser line coordinated by orthogonal reference

Construction and error analysis of dual linear array camera target measurement system in long-range target range

Multi-Camera-Based Universal Measurement Method for 6-DOF of Rigid Bodies in World Coordinate System

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