DocumentCode
3083079
Title
The tensors of three affine views
Author
Thorballsson, T. ; Murray, David W.
Author_Institution
Dept. of Eng. Sci., Oxford Univ., UK
Volume
1
fYear
1999
fDate
1999
Abstract
In this paper we specialize the projective unifocal, bifocal, and trifocal tensors to the affine case, and show how the tensors obtained relate to the registered tensors encountered in previous work. This enables us to obtain an affine specialization of known projective relations connecting points and lines across two or three views. In the simpler case of affine cameras we give neccessary and sufficient constraints on the components of the trifocal tensor together with a simple geometric interpretation. Finally, we show how the estimation of the tensors from point correspondences is achieved through factorization, and discuss the estimation from line correspondences
Keywords
image processing; tensors; affine specialization; affine views; line correspondences; point correspondences; registered tensors; tensors; Cameras; Geometry; Joining processes; Layout; Linear approximation; Tensile stress;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Vision and Pattern Recognition, 1999. IEEE Computer Society Conference on.
Conference_Location
Fort Collins, CO
ISSN
1063-6919
Print_ISBN
0-7695-0149-4
Type
conf
DOI
10.1109/CVPR.1999.786977
Filename
786977
Link To Document