Geometric algebra: A framework for computing point and line correspondences and projective structure using n uncalibrated cameras

Proceedings - International Conference on Pattern Recognition

Volumn 1, Issue , 1996, Pages 334-338

  Bayro Corrochano, E ^b   Lasenby, J ^a   Sommer, G ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

SOFTWARE ENGINEERING;

GEOMETRIC ALGEBRA; LINE CORRESPONDENCE; MULTIPLE-VIEW; N-VIEWS; PROJECTIVE STRUCTURE; UN-CALIBRATED CAMERA;

PATTERN RECOGNITION;

EID: 84898809308     PISSN: 10514651     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICPR.1996.546044     Document Type: Conference Paper

References (11)

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2. Carlsson, S. 1994. The Double Algebra: and effective tool for computing invariants in computer vision. Applications of Invariance in Computer Vision, Lecture Notes in Computer Science 825. Eds Mundy, Zisserman and Forsyth. Springer-Verlag.
3. Clifford, W.K. 1878. Applications of Grassmann's extensive algebra. Am. J. Math. 1: 350-358.
4. Faugeras, O. and Mourram, B. 1995. On the geometry and algebra of the point and line correspondences between N images. pp 102:109 of Proceedings as in [1].
5. Grassmann, H. 1877. Der Ort der Hamilton'schen Quaternio-nen in der Ausdehnungslehre. Math. Ann., 12: 375.
6. Spetsakis M.E. and Aloimonos J. 1990. Structure from motion using line correspondences. International Journal of Computer Vision, 4, 171:183.
7. Hartley, R 1994. Lines and Points in three views-a unified approach. In ARPA Image Understanding Workshop, Monterey, California.
8. Hestenes, D. and Sobczyk, G. 1984. Clifford Algebra to Geometric Calculus: A unified language for mathematics and physics. D. Reidel, Dordrecht.
9. Lasenby, J. 1995. Engineering Applications of Geometric Algebra, to appear in Proceedings of Banff Summer School on Geometric Algebras in Physics. August 1995. Birkhauser Boston.
10. Lasenby, J., Bayro-Corrochano, E., Lasenby, A., Sommer, G. 1996. A new methodology for computing invariants in computer vision. Proceedings of ICPR'96, Vienna.
11. Shashua, A. 1994. Projective structure from uncalibrated images: structure from motion and recognition PAMI, 16(8), 778:790