Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Canonic representations for the geometries of multiple projective views
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Invariants of 6 points from 3 uncalibrated images
ECCV '94 Proceedings of the third European conference on Computer Vision (Vol. II)
A common framework for kinetic depth, reconstruction and motion for deformable objects
ECCV '94 Proceedings of the third European conference on Computer Vision (Vol. II)
What can be seen in three dimensions with an uncalibrated stereo rig
ECCV '92 Proceedings of the Second European Conference on Computer Vision
A unifying framework for structure and motion recovery from image sequences
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Reconstruction from image sequences by means of relative depths
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
On the geometry and algebra of the point and line correspondences between N images
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Motion from the frontier of curved surfaces
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
Continuous Time Matching Constraints for Image Streams
International Journal of Computer Vision
Reduced Multilinear Constraints: Theory and Experiments
International Journal of Computer Vision
Linear Multi View Reconstruction and Camera Recovery Using a Reference Plane
International Journal of Computer Vision
Plane+Parallax, Tensors and Factorization
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Sequential projective reconstruction with factorization
Machine Graphics & Vision International Journal
Simplified vehicle calibration using multilinear constraints
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
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This paper deals with the problem of analysing sequences of images of rigid point objects taken by uncalibrated cameras. It is assumed that the correspondences between the points in the different images are known. The paper introduces a new framework for this problem. Corresponding points in a sequence of n images are related to each other by a fixed n-linear form. This form is an object invariant property, closely linked to the motion of the camera relative to the fixed world. We first describe a reduced setting in which these multilinear forms are easier to understand and analyse. This new formulation of the multilinear forms is then extended to the calibrated case. This formulation makes apparent the connection between camera motion, camera matrices and multilinear forms and the similarities between the calibrated and uncalibrated cases. These new ideas are then used to derive simple linear methods for extracting camera motion from sequences of images.