Abstract
In this paper the authors use the framework of conformal geometric algebra for the treatment of robot vision tasks. In this mathematical system we calculated projective invariants using omnidirectional vision for object recognition. We show the power of the mathematical system for handling differential kinematics in visual guided tracking.
Keywords
- Visual Tracking
- Projective Invariant
- Geometric Algebra
- Outer Product
- Image Sphere
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Bayro-Corrochano, E., López-Franco, C.: Omnidirectional vision: unified model using conformal geometry. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3021, pp. 536–548. Springer, Heidelberg (2004)
Bayro-Corrochano, E.: Robot perception and action using conformal geometric algebra. In: Bayro-Corrochano, E. (ed.) Hanbook of Geometric Computing. Applications in Patter Recognition, Computer Vision, Neuralcomputing and Robotics, ch.14, pp. 405–457. Springer, Heidelberg (2005)
Li, H., Hestenes, D., Rockwood, A.: Generalized homogeneous coordinates for computational geometry. In: Sommer, G. (ed.) Geometric Computing with Clifford Algebra, pp. 27–59. Springer, Heidelberg (2001)
Zamora-Esquivel, J., Bayro-Corrochano, E.: Static and differential geometry of robot devices using conformal computational geometry (2005) (Submitted elsewhere)
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Bayro-Corrochano, E., Zamora-Esquivel, J., López-Franco, C. (2005). Conformal Geometric Algebra for 3D Object Recognition and Visual Tracking Using Stereo and Omnidirectional Robot Vision. In: Sanfeliu, A., Cortés, M.L. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2005. Lecture Notes in Computer Science, vol 3773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11578079_110
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DOI: https://doi.org/10.1007/11578079_110
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29850-2
Online ISBN: 978-3-540-32242-9
eBook Packages: Computer ScienceComputer Science (R0)
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