On the Geometry and Algebra of the Point and Line Correspondences Between N Images

@inproceedings{Faugeras1995OnTG,
  title={On the Geometry and Algebra of the Point and Line Correspondences Between N Images},
  author={Olivier D. Faugeras and Bernard Mourrain},
  booktitle={ICCV},
  year={1995}
}
We explore the geometric and algebraic relations that exist between correspondences of points and lines in an arbitrary number of images. We propose to use the formalism of the GrassmannCayley algebra as the simplest way to make both geometric and algebraic statements in a very synthetic and e ective way (i.e. allowing actual computation if needed). We have a fairly complete picture of the situation in the case of points: there are only three types of algebraic relations which are satis ed by… CONTINUE READING
Highly Influential
This paper has highly influenced 23 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 315 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 188 extracted citations

Trinocular Geometry Revisited

International Journal of Computer Vision • 2014
View 9 Excerpts
Highly Influenced

Géométrie d ’ images multiples Thèse pour obtenir le grade de Docteur en sciences

Melinda R. Mohr, directeur de thèse, M. Olivier Faugeras
1999
View 20 Excerpts
Highly Influenced

A Geometric Analysis of the Trifocal Tensor

View 6 Excerpts
Highly Influenced

The Joint Image Handbook

2015 IEEE International Conference on Computer Vision (ICCV) • 2015
View 5 Excerpts
Highly Influenced

Multiview Geometry Revisited

Yi Ma Shankar SastryElectronics
2008
View 5 Excerpts
Highly Influenced

315 Citations

02040'94'99'05'11'17
Citations per Year
Semantic Scholar estimates that this publication has 315 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 29 references

Algebraic Functions For Recognition

IEEE Trans. Pattern Anal. Mach. Intell. • 1995
View 18 Excerpts
Highly Influenced

Algorithms in Invariant Theory

Texts & Monographs in Symbolic Computation • 1993
View 4 Excerpts
Highly Influenced

Multiple image invariance using the double algebra

Stefan Carlsson
Ap- plications of Invariance in Computer Vision, • 1994
View 4 Excerpts
Highly Influenced

Computer Vision

D. C. Ballard, C. M. Brown
Prentice-Hall, Engle- wood Cli s, New Jersey • 1982
View 4 Excerpts
Highly Influenced

What can two images tell us about a third one?

International Journal of Computer Vision • 1996
View 8 Excerpts

Similar Papers

Loading similar papers…