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International Workshop on Automated Deduction in Geometry

ADG 1998: Automated Deduction in Geometry pp 156–179Cite as

Some Applications of Clifford Algebra to Geometries

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1669))

Abstract

This paper focuses on a Clifford algebra model for geometric computations in 2D and 3D geometries. The model integrates symbolic representation of geometric entities, such as points, lines, planes, circles and spheres, with that of geometric constraints such as angles and distances, and is appropriate for both symbolic and numeric computations. Details on how to apply this model are provided and examples are given to illustrate the application.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Arizona State University Tempe, AZ, 85287-1504, USA

    Hongbo Li

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  1. Hongbo Li
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© 1999 Springer-Verlag Berlin Heidelberg

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Li, H. (1999). Some Applications of Clifford Algebra to Geometries. In: Automated Deduction in Geometry. ADG 1998. Lecture Notes in Computer Science(), vol 1669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47997-X_9

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  • DOI: https://doi.org/10.1007/3-540-47997-X_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66672-1

  • Online ISBN: 978-3-540-47997-0

  • eBook Packages: Springer Book Archive

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