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Object modelling and collision avoidance using Clifford algebra

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Computer Analysis of Images and Patterns (CAIP 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 970))

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Abstract

Object modelling and collision avoidance has been heavily discussed in the literature, however the Clifford algebra based method allows a more elegant reformulation which provides greater geometrical insight and helps greatly to identify and to formulate algebraic constraints useful for object collision detection, grasping and collision avoidance.

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References

  1. Hestenes D. and Sobczyk G. Clifford Algebra to Geometric Calculus. A Unified Language for Mathematics and Physics. D Reidel Publishing Company, Dordrecht, Holland, 1984.

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  2. Bayro-Corrochano EJ and Lasenby J. Object modelling and motion analysis using Clifford Algebra. Europe-China workshop on Geometrical Modelling and Invariants for Computer Vision, Xi'an, China, pp. 143–149, 27–29 April 1995.

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  3. Canny J. Collision detection for moving polyhedra. PAMI-8, No. 2, pp. 200–209, March 1986.

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Václav Hlaváč Radim Šára

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© 1995 Springer-Verlag Berlin Heidelberg

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Bayro-Corrochano, E., Sommer, G. (1995). Object modelling and collision avoidance using Clifford algebra. In: Hlaváč, V., Šára, R. (eds) Computer Analysis of Images and Patterns. CAIP 1995. Lecture Notes in Computer Science, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60268-2_367

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  • DOI: https://doi.org/10.1007/3-540-60268-2_367

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60268-2

  • Online ISBN: 978-3-540-44781-8

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