Relative Affine Structure: Canonical Model for 3D From 2D Geometry and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Lines and Points in Three Views and the Trifocal Tensor
International Journal of Computer Vision
Parallax Geometry of Pairs of Points for 3D Scene Analysis
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
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
Duality, Rigidity and Planar Parallax
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
On the Structure and Properties of the Quadrifocal Tensor
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Trilinearity of three perspective views and its associated tensor
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
Sequence-to-Sequence Self Calibration
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Structure and Motion for Dynamic Scenes - The Case of Points Moving in Planes
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
General Trajectory Triangulation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Calibrating an air-ground control system from motion correspondences
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
3D reconstruction of a moving point from a series of 2D projections
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
View synthesis of scenes with multiple independently translating objects from uncalibrated views
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Multiple view geometry in the space-time
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part II
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
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We introduce a 3 × 3 × 3 tensor Hijk and its dual Hijk which represent the 2D projective mapping of points across three projections (views). The tensor Hijk is a generalization of the well known 2D collineation matrix (homography matrix) and it concatenates two homography matrices to represent the joint mapping across three views. The dual tensor Hijk concatenates two dual homography matrices (mappings of line space) and is responsible for representing the mapping associated with moving points along straight-line paths, i.e., Hijk can be recovered from line-of-sight measurements only.