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Engineering Graphics in Geometric Algebra

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Abstract

We illustrate the suitability of geometric algebra for representing structures and developing algorithms in computer graphics, especially for engineering applications. A number of example applications are reviewed. Geometric algebra unites many underpinning mathematical concepts in computer graphics such as vector algebra and vector fields, quaternions, kinematics and projective geometry, and it easily deals with geometric objects, operations, and transformations. Not only are these properties important for computational engineering, but also for the computational point-of-view they provide. We also include the potential of geometric algebra for optimizations and highly efficient implementations.

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Authors and Affiliations

  1. Geometric Modeling and Scientific Visualization Research Center, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

    Alyn Rockwood

  2. Interactive Graphics Systems Group, University of Technology Darmstadt, Darmstadt, Germany

    Dietmar Hildenbrand

Authors
  1. Alyn Rockwood
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  2. Dietmar Hildenbrand
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Correspondence to Alyn Rockwood .

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Editors and Affiliations

  1. , CINVESTAV, Unidad Guadalajara, Av. Científica 1145, Colonia el Bajío, Zapopan, 45015, Mexico

    Eduardo Bayro-Corrochano

  2. Inst. Informatik, Universität Leipzig, Leipzig, Germany

    Gerik Scheuermann

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Rockwood, A., Hildenbrand, D. (2010). Engineering Graphics in Geometric Algebra. In: Bayro-Corrochano, E., Scheuermann, G. (eds) Geometric Algebra Computing. Springer, London. https://doi.org/10.1007/978-1-84996-108-0_3

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  • DOI: https://doi.org/10.1007/978-1-84996-108-0_3

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