Computer Vision

Epipolar geometry - Fundamental matrix

maetel 2009. 8. 19. 13:53
Q. T. Luong (1992). Fundamental matrix and self-calibration. PhD Thesis, University of Paris, Orsay.

Richard I. Hartley (1992). "Estimation of relative camera positions for uncalibrated cameras". Proceedings of European Conference on Computer Vision.

The Fundamental matrix: theory, algorithms, and stability analysis (1995) 
Q.-T. Luong, O.D. Faugeras

http://www.springerlink.com/content/m289123878810770/

The fundamental matrix: Theory, algorithms, and stability analysis (1996)
by Q. -t. Luong
International Journal of Computer Vision

Quang-Tuan Luong
Projective geometry for multiple view analysis
http://www.ai.sri.com/~luong/research/publications/publications.html#fundamental

Learning Epipolar Geometry
The Java code for this page was created by Sylvain Bougnoux.


Richard I. Hartley (June 1997). "In Defense of the Eight-Point Algorithm". IEEE Transaction on Pattern Recognition and Machine Intelligence 19 (6): 580–593. doi:10.1109/34.601246.

The geometry of multiple images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications
Olivier Faugeras and Quang-Tuan Luong with contributions from Theo Papadopoulo
MIT Press. ISBN: 0262062208. March 2001.
-> paperback (2004) google books

Richard Hartley and Andrew Zisserman (2003).
Multiple View Geometry in computer vision. Cambridge University Press.

http://www.robots.ox.ac.uk/~vgg/hzbook/
ch.8 - ch.10


fundamental matrix song
http://danielwedge.com/fmatrix/


Yi Ma, Stefano Soatto, Jana Kosecka, Shankar Sastry (Springer Verlag, 2003)
An Invitation to 3-D Vision


Richard Szeliski, Microsoft Research
Computer Vision: Algorithms and Applications
ch.7 Structure from Motion









K. Kanatani and Y. Sugaya, Fundamental matrix computation: Theory and practice
Memoirs of the Faculty of Engineering, Okayama University, Vol. 42, January 2008, pp. 18-35.






preview

http://en.wikipedia.org/wiki/Homogeneous_coordinates
Translations can not be expressed as matrix transformations on real-world co-ordinates.

Jules Bloomenthal and Jon Rokne (Department of Computer Science, The University of Calgary)
Homogeneous Coordinates

RogerMohr and Bill Triggs
Projective Geometry for Image Analysis
A Tutorial given at ISPRS, Vienna, July 1996



http://en.wikipedia.org/wiki/Homography

http://en.wikipedia.org/wiki/Plane_at_infinity

http://en.wikipedia.org/wiki/Point_at_infinity

http://en.wikipedia.org/wiki/Line_at_infinity

http://en.wikipedia.org/wiki/Epipolar_geometry