Title
Analysis and Computation of an Affine Trifocal Tensor
Abstract
This paper investigates the trifocal tensor for an affine trinocular rig and de- fines an affine trifocal tensor. The question of the degrees of freedom of the tensor entries will be addressed, and a novel algorithm to compute the tensor by a linear technique is presented. It will be shown that 4 point or 8 line correspondences along the three images are enough for a reliable computa- tion of the trifocal tensor in the affine case (uncalibrated, weak perspective camera model), in contrast to the projective case, where at least 7 point or 13 line correspondences are needed for a linear computation (and usually with poor results). An analysis of the error in the approximation of a generic trifocal tensor by the affine trifocal tensor is carried out and preliminary ex- periments with synthetic and real data show the reliability and robustness of the approximation under a wide range of conditions.
Year
Venue
Keywords
1998
BMVC
degree of freedom
Field
DocType
Citations 
Affine transformation,Computer vision,Tensor (intrinsic definition),Tensor,Computer science,Robustness (computer science),Artificial intelligence,Trifocal tensor,Computation
Conference
8
PageRank 
References 
Authors
0.52
14
2
Name
Order
Citations
PageRank
Paulo R. S. Mendonça161050.38
Roberto Cipolla29413827.88