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 :
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