On averaging in Clifford groups

Lecture Notes in Computer Science

Volumn 3519, Issue , 2005, Pages 229-238

  Buchholz, Sven ^a   Sommer, Gerald ^a  

^a UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CAMERAS; DATA ACQUISITION; MATRIX ALGEBRA; ROBOTICS; VECTORS;

MUTLIPLE CAMERAS; POSE; VECTOR SPACE;

COMPUTER VISION;

EID: 25144517789     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11499251_19     Document Type: Conference Paper

References (13)

1. H. Bruyninckx. Some Invariance Problems in Robotics. Technical Report PMA 91R4, Kathollieke Universiteit Leuven, 1991.
2. C. Doran, D. Hestenes, F. Sommen, and N. Van Acker. Lie Groups as Spin Groups. J. Math. Phys., 34:3642-3669, 1993.
3. A. Edelman, T. A. Arias, and S. T. Smith. The Geometry of Algorithms with Orthogonality Constraints. SIAM J. Matrix Anal. Appl., 20:303-353, 1999.
4. N. I. Fisher, T. Lewis, and B. J. Embleton. Analysis of Spherical Data. Cambridge University Press, 1987.
5. G. H. Golub. Matrix Computations. The Johns Hopkins University Press, 1990.
6. V. M. Govindu. Lie-algebraic Averaging for Globally Consistent Motion Estimation. Proc. of the CVPR, 1:684-691, 2004.
7. C. Gramkow. On Averaging Rotations. J. Math. Imaging and Vision, 15:7-16, 2001.
8. A. Iserles, H. Z. Munthe-Kaas, S. P. Nørsett, and A. Zanna. Lie-group Methods. Acta Numer., 9:215-365, 2000.
9. R. Lenz and G. Granlund. If i had a fisheye i would not need so(1,n), or is hyperbolic geometry useful in image processing? Proc. of the SSAB Symposium, Uppsala, Sweden, pages 49-52, 1998.
10. P. Lounesto. Clifford Algebras and Spinors. Cambridge University Press, 1997.
11. M. Moakher. Means and Averaging in the Group of Rotations. SIAM J. Matrix Anal. Appl., 24:1-16, 2002.
12. I. R. Porteous. Clifford Algebras and the Classical Groups. Cambridge University Press, Cambridge, 1995.
13. J. M. Selig. Geometrical Methods in Robotics. Springer-Verlag, 1996.