Matrix analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Canonical representations for the geometries of multiple projective views
Computer Vision and Image Understanding
Computer Vision and Image Understanding
Finding the collineation between two projective reconstructions
Computer Vision and Image Understanding
Autocalibration and the absolute quadric
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
From projective to Euclidean reconstruction
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Projective Translations and Affine Stereo Calibration
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Metric calibration of a stereo rig
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
In defence of the 8-point algorithm
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Active visual navigation using non-metric structure
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Sequence-to-Sequence Self Calibration
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
The 3D Line Motion Matrix and Alignment of Line Reconstructions
International Journal of Computer Vision
Continuous stereo self-calibration by camera parameter tracking
IEEE Transactions on Image Processing
A semi-automatic 3d reconstruction algorithm for telepresence
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Direct estimation of the stereo geometry from monocular normal flows
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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In this paper, we describe a method for calibrating a stereo pair of cameras using general or planar motions. The method consists of upgrading a 3D projective representation to affine and to Euclidean without any knowledge, neither about the motion parameters nor about the 3D layout. We investigate the algebraic properties relating projective representation to the plane at infinity and to the intrinsic camera parameters when the camera pair is considered as a moving rigid body. We show that all the computations can be carried out using standard linear resolutions techniques. An error analysis reveals the relative importance of the various steps of the calibration process: projective-to-affine and affine-to-metric upgrades. Extensive experiments performed with calibrated and natural data confirm the error analysis as well as the sensitivity study performed with simulated data.