In this paper we give an account of two different methods to find constraints for the trifocal tensor T, used in geometric computer vision. We also show how to single out a set of only eight equations that are generically complete, i.e. for a generic choice of T, they suffice to decide whether T is indeed trifocal. Note that eight is minimum possible number of constraints.

Constraints for the Trifocal Tensor / A. Alzati, A. Tortora (ADVANCES IN PATTERN RECOGNITION). - In: Tensors in Image Processing and Computer Vision / [a cura di] S. Aja-Fernandez, R. de Luis Garcia, D. Tao, X. Li. - London : Springer, 2009. - ISBN 9781848822986. - pp. 261-269 [10.1007/978-1-84882-299-3_12]

Constraints for the Trifocal Tensor

A. Alzati
Primo
;
A. Tortora
Ultimo
2009

Abstract

In this paper we give an account of two different methods to find constraints for the trifocal tensor T, used in geometric computer vision. We also show how to single out a set of only eight equations that are generically complete, i.e. for a generic choice of T, they suffice to decide whether T is indeed trifocal. Note that eight is minimum possible number of constraints.
Homogeneous Polynomial; Ambient Space; Double Line; Generic Choice; Projective Class
Settore MAT/03 - Geometria
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/67861
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