Estimation of Relative Camera Positions for Uncalibrated Cameras
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Multibody Structure and Motion: 3-D Reconstruction of Independently Moving Objects
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
A multi-body factorization method for motion analysis
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
In defence of the 8-point algorithm
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Matching constraints and the joint image
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Join Tensors: On 3D-to-3D Alignment of Dynamic Sets
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
Reconstructing 3D trajectories of independently moving objects using generic constraints
Computer Vision and Image Understanding - Model-based and image-based 3D scene representation for interactive visalization
Computer Vision and Image Understanding
Two-View Multibody Structure-and-Motion with Outliers through Model Selection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-View Multibody Structure from Motion
International Journal of Computer Vision
A Unified Algebraic Approach to 2-D and 3-D Motion Segmentation and Estimation
Journal of Mathematical Imaging and Vision
A Trajectory-Based Point Tracker Using Chaos Evolutionary Programming
IEA/AIE '09 Proceedings of the 22nd International Conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems: Next-Generation Applied Intelligence
Computer Vision and Image Understanding
The space of multibody fundamental matrices: rank, geometry and projection
WDV'05/WDV'06/ICCV'05/ECCV'06 Proceedings of the 2005/2006 international conference on Dynamical vision
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We consider dynamic scenes consisting of moving points whose motion is constrained to happen in one of a pencil of planes. This is for example the case when rigid objects move independently, but on a common ground plane (each point moves in one of a pencil of planes parallel to the ground plane). We consider stereo pairs of the dynamic scene, taken by a moving stereo system, that allow to obtain 3D reconstructions of the scene, for different time instants. We derive matching constraints for pairs of such 3D reconstructions, especially we introduce a simple tensor, that encapsulates parts of the motion of the stereo system and parts of the scene structure. This tensor allows to partially recover the dynamic structure of the scene. Complete recovery of structure and motion can be performed in a number of ways, e.g. using the information of static points or linear trajectories. We also develop a special self-calibration method for the considered scenario.