Geometric invariance in computer vision
Geometric invariance in computer vision
3D interpretation of conics and orthogonality
CVGIP: Image Understanding
Conics-based stereo, motion estimation, and pose determination
International Journal of Computer Vision
Conic Reconstruction and Correspondence From Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Flexible New Technique for Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Autocalibration from Planar Scenes
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Single Axis Geometry by Fitting Conics
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Autocalibration and the absolute quadric
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Camera calibration using spheres: A semi-definite programming approach
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Coplanar circles, quasi-affine invariance and calibration
Image and Vision Computing
Relative Pose Estimation from Two Circles
Proceedings of the 30th DAGM symposium on Pattern Recognition
Camera calibration based on arbitrary parallelograms
Computer Vision and Image Understanding
Applications of projected circle centers in camera calibration
Machine Vision and Applications
Euclidean structure from confocal conics: Theory and application to camera calibration
Computer Vision and Image Understanding
Metric reconstruction of planes utilizing off-the-plane features
Computer Vision and Image Understanding
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Conics with a common axis of symmetry: properties and applications to camera calibration
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Three
A linear method for determining intrinsic parameters from two parallel line-segments
ICIC'13 Proceedings of the 9th international conference on Intelligent Computing Theories and Technology
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Our problem is that of recovering, in one view, the 2D Euclidean structure, induced by the projections of N parallel circles. This structure is a prerequisite for camera calibration and pose computation. Until now, no general method has been described for N 2. The main contribution of this work is to state the problem in terms of a system of linear equations to solve. We give a closed-form solution as well as bundle adjustment-like refinements, increasing the technical applicability and numerical stability. Our theoretical approach generalizes and extends all those described in existing works for N = 2 in several respects, as we can treat simultaneously pairs of orthogonal lines and pairs of circles within a unified framework. The proposed algorithm may be easily implemented, using well-known numerical algorithms. Its performance is illustrated by simulations and experiments with real images.