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Inferring Dynamical Information from 3D Position Data using Geometric Algebra

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Applications of Geometric Algebra in Computer Science and Engineering

Abstract

Given the three-dimensional positions of points on an articulated body in general motion, we often need to estimate the dynamical quantities of the body. It would be useful to have a general methodology to achieve this under different constraints of the models. Starting from the actual marker positions, we would like simple algorithms to calculate both kinematic and dynamic quantities. Such quantities are rotations, angular velocities, accelerations and rate of change of angular momentum. In this paper we formulate a simple recipe to achieve this using Geometric Algebra.

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© 2002 Springer Science+Business Media New York

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Sajeewa, H.U.G.S., Lasenby, J. (2002). Inferring Dynamical Information from 3D Position Data using Geometric Algebra. In: Dorst, L., Doran, C., Lasenby, J. (eds) Applications of Geometric Algebra in Computer Science and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0089-5_35

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  • DOI: https://doi.org/10.1007/978-1-4612-0089-5_35

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6606-8

  • Online ISBN: 978-1-4612-0089-5

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