Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Invariants of Six Points and Projective Reconstruction From Three Uncalibrated Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Lines and Points in Three Views and the Trifocal Tensor
International Journal of Computer Vision
Controlled iterative methods for solving polynomial systems
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
Determining the Epipolar Geometry and its Uncertainty: A Review
International Journal of Computer Vision
Reduced Multilinear Constraints: Theory and Experiments
International Journal of Computer Vision
The Rank 4 Constraint in Multiple (=3) View Geometry
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
A Factorization Based Algorithm for Multi-Image Projective Structure and Motion
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
3D Model Acquisition from Extended Image Sequences
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume II - Volume II
Computation of the Quadrifocal Tensor
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Threading Fundamental Matrices
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
A Common Framework for Multiple View Tensors
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Trilinear Tensor: The Fundamental Construct of Multiple-view Geometry and Its Applications
AFPAC '97 Proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle
Automatic 3D Model Construction for Turn-Table Sequences
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Structure from Many Perspective Images with Occlusions
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Line reconstruction from many perspective images by factorization
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
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Projective reconstruction recovers projective coordinates of 3D scene points from their several projections in 2D images. We introduce a method for the projective reconstruction based on concatenation of trifocal constraints around a reference view. This configuration simplifies computations significantly. The method uses only linear estimates which stay "close" to image data. The method requires correspondences only across triplets of views. However, it is not symmetrical with respect to views. The reference view plays a special role. The method can be viewed as a generalization of Hartley's algorithm, or as a particular application of Triggs' closure relations.