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A unified language for computer vision and robotics

  • Processing of the 3D Visual Space
  • Conference paper
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Algebraic Frames for the Perception-Action Cycle (AFPAC 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1315))

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Abstract

Geometric algebra is an universal mathematical language which provides very comprehensive techniques for analyzing the complex geometric situations occurring in artificial Perception Action Cycle systems. In the geometric algebra framework such a system is both easier to analyze and to control in real time computations. This paper describes the application of rotors and motors for tasks involving the algebra of the 3D kinematics. Using purely geometric derivations and the constraints for point and line correspondences in n-views projective invariants are computed and the projective depth is discussed in terms of the generalized cross-ratio.

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Author information

Authors and Affiliations

  1. Computer Science Institute, Christian Albrechts University, Kiel, Germany

    Eduardo Bayro-Corrochano

  2. Department of Engineering, Trumpington Street, CB2 1PZ, Cambridge

    Joan Lasenby

Authors
  1. Eduardo Bayro-Corrochano
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  2. Joan Lasenby
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Editor information

Gerald Sommer Jan J. Koenderink

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© 1997 Springer-Verlag Berlin Heidelberg

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Bayro-Corrochano, E., Lasenby, J. (1997). A unified language for computer vision and robotics. In: Sommer, G., Koenderink, J.J. (eds) Algebraic Frames for the Perception-Action Cycle. AFPAC 1997. Lecture Notes in Computer Science, vol 1315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017870

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  • DOI: https://doi.org/10.1007/BFb0017870

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63517-8

  • Online ISBN: 978-3-540-69589-9

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