2012
DOI: 10.1049/iet-ipr.2011.0421
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Abstract: In recent years, camera calibration and three-dimensional (3D) reconstruction have attracted more and more attentions in the vision community and found wide applications in many vision-based robotics. This article discusses about a new technique for camera calibration based on concentric circles, whose positions and sizes can be arbitrary. Here, the key problem is how to efficiently estimate the projections of the circle centre from the images. The solution for this problem is formulated into a firstorder poly… Show more

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Cited by 17 publications
(16 citation statements)
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“…Compared with points and lines who lead to simpler mathematical formulation, circles contains more geometrical constraint and the projection of a circle is an ellipse which is easy to model. Because of these reasons, a wide range of applications based on circle have been described in literature, including camera calibration 10 , guiding of robot 11 and so on. Camera calibration method based on concentric circle is proposed by Zhang 10 , it described how to estimate the projection of the circle center by formulating the problem into a first order polynomial eigenvalue problem, and how the camera can be calibrated with the images of circular points or vanishing points.…”
Section: Introductionmentioning
confidence: 99%
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“…Compared with points and lines who lead to simpler mathematical formulation, circles contains more geometrical constraint and the projection of a circle is an ellipse which is easy to model. Because of these reasons, a wide range of applications based on circle have been described in literature, including camera calibration 10 , guiding of robot 11 and so on. Camera calibration method based on concentric circle is proposed by Zhang 10 , it described how to estimate the projection of the circle center by formulating the problem into a first order polynomial eigenvalue problem, and how the camera can be calibrated with the images of circular points or vanishing points.…”
Section: Introductionmentioning
confidence: 99%
“…Because of these reasons, a wide range of applications based on circle have been described in literature, including camera calibration 10 , guiding of robot 11 and so on. Camera calibration method based on concentric circle is proposed by Zhang 10 , it described how to estimate the projection of the circle center by formulating the problem into a first order polynomial eigenvalue problem, and how the camera can be calibrated with the images of circular points or vanishing points. Li 11 proposes a monocular vision system which can recognizing colored ball rapidly for guiding of home security robot, the ball is detected by checking if the radius is within the given range after object segment based on color feature.…”
Section: Introductionmentioning
confidence: 99%
“…The extrinsic parameters are related to the geometric structure of the FPP, e.g., the locations of the camera and the projector with respect to the object to be measured, and the intrinsic parameters are from the camera and projector structure. These parameters can be determined through camera calibration (CC) [6][7][8][9][10][11][12] and projector calibration (PC) [13][14][15][16][17][18][19][20][21][22]. When a camera is calibrated, the corresponding relationship can be established between the three-dimensional (3D) shape of an object and the corresponding two-dimensional (2D) image taken by the camera (referred to as the camera image).…”
Section: Introductionmentioning
confidence: 99%
“…The method of camera calibration that uses circles as a calibration pattern has been studied in depth and combined with the theory of circular points [12][13][14]. Wu et al [9] propose a calibration method with parallel circles.…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, in the literature [12] using two concentric circles and two points of either circle that are not on the same diameter as a calibration pattern improved the previous methods [11]. Zhang et al [13] suggest how to efficiently estimate the projections of a circle centre from its image. Furthermore, the projection of the centres of three mutually separated circles is given [14], and the camera's intrinsic parameters can be uncovered with vanishing points in two orthogonal directions.…”
Section: Introductionmentioning
confidence: 99%