Calibration of camera intrinsic parameters based on the properties of the polar of circular points

Yang, Fengli; Zhao, Yue; Wang, Xuechun

doi:10.1364/ao.58.005901

Cited by 7 publications

(2 citation statements)

References 18 publications

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“…Furthermore, we analysed the relative positioning error [39] between the reconstructed angular points. In the case of the world coordinate system, the relative positioning error refers to the error between the distances of every two neighbour reconstructed points and that of the actual target angular points.…”

Section: B Experiments Using Real Imagesmentioning

confidence: 99%

Two Separate Circles With Same-Radius: Projective Geometric Properties and Applicability in Camera Calibration

2020

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In the domain of computer vision, camera calibration is a key step in recovering the twodimensional Euclidean structure. Circles are considered important image features similar to points, lines, and conics. In this paper, a novel linear calibration method is proposed using two separate same-radius (SSR) circles as the calibration pattern. We show that the distinct pair of dual circles encodes three lines, two of which are parallel to each other and perpendicular to the remaining line. When any two coplanar or parallel circles degenerate to SSR circles, a solution can be found to recover another pair of parallel lines based on the geometric properties of the SSR circles. Using the vanishing points obtained as the key helper for determining the imaged circular points and the orthogonal vanishing points, we deduce the constraints on the image of the absolute conic (IAC) and then employ it for complete camera calibration. Furthermore, a closed-form solution for the extrinsic parameters can be obtained based on the projective invariance of the conic dual to the circular points. Evaluations based on simulated and real data confirmed the effectiveness and feasibility of the proposed algorithms. INDEX TERMS Camera calibration, conic dual, image of circular points, parallel lines, SSR circles.

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Section: B Experiments Using Real Imagesmentioning

confidence: 99%

Two Separate Circles With Same-Radius: Projective Geometric Properties and Applicability in Camera Calibration

2020

Self Cite

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“…Most calibration approaches are performed with high-precision or special structure targets that are difficult to manufacture. According to the employed targets, the calibration methods can be divided into 1D methods 5 – 9 , 2D method 10 – 26 and 3D method 2 , 3 , 27 – 31 and approximate 3D method 32 – 40 . The targets in 1D methods are usually calibration rods composed of several collinear points.…”

Section: Introductionmentioning

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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Common pole-polar and common tangent properties of dual coplanar circles and their application in camera calibration

Liang

Zhao

2023

Multimed Tools Appl

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Calibration of camera intrinsic parameters based on the properties of the polar of circular points

Cited by 7 publications

References 18 publications

Two Separate Circles With Same-Radius: Projective Geometric Properties and Applicability in Camera Calibration

Two Separate Circles With Same-Radius: Projective Geometric Properties and Applicability in Camera Calibration

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

Common pole-polar and common tangent properties of dual coplanar circles and their application in camera calibration

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