Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
A Paraperspective Factorization Method for Shape and Motion Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recovery of Ego-Motion Using Region Alignment
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multibody Grouping from Motion Images
International Journal of Computer Vision
A Multibody Factorization Method for Independently Moving Objects
International Journal of Computer Vision
Trajectory Triangulation: 3D Reconstruction of Moving Points from a Monocular Image Sequence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Independent Motion Detection in 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Recovery of Planar-Parallax from Multiple Frames
IEEE Transactions on Pattern Analysis and Machine Intelligence
Detecting and Tracking Multiple Moving Objects Using Temporal Integration
ECCV '92 Proceedings of the Second European Conference on Computer Vision
From Reference Frames to Reference Planes: Multi-View Parallax Geometry and Applications
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Euclidean Reconstruction: From Paraperspective to Perspective
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Multi-View Subspace Constraints on Homographies
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Reconstruction of a Scene with Multiple Linearly Moving Objects
International Journal of Computer Vision
Reconstruction of a Scene with Multiple Linearly Moving Objects
International Journal of Computer Vision
Motion Segmentation from Feature Trajectories with Missing Data
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part I
An Iterative Multiresolution Scheme for SFM with Missing Data
Journal of Mathematical Imaging and Vision
An iterative multiresolution scheme for SFM with missing data: Single and multiple object scenes
Image and Vision Computing
Rank Estimation in Missing Data Matrix Problems
Journal of Mathematical Imaging and Vision
A phase discrepancy analysis of object motion
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Moving object detecting system with phase discrepancy
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part II
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In this paper we describe an algorithm to recover the scene structure, the trajectories of the moving objects and the camera motion simultaneously given a monocular image sequence. The number of the moving objects is automatically detected without prior motion segmentation. Assuming that the objects are moving linearly with constant speeds, we propose a unified geometrical representation of the static scene and the moving objects. This representation enables the embedding of the motion constraints into the scene structure, which leads to a factorization-based algorithm. We also discuss solutions to the degenerate cases which can be automatically detected by the algorithm. Extension of the algorithm to weak perspective projections is presented as well. Experimental results on synthetic and real images show that the algorithm is reliable under noise.