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Applications of Clifford’s Geometric Algebra

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Abstract

We survey the development of Clifford’s geometric algebra and some of its engineering applications during the last 15 years. Several recently developed applications and their merits are discussed in some detail. We thus hope to clearly demonstrate the benefit of developing problem solutions in a unified framework for algebra and geometry with the widest possible scope: from quantum computing and electromagnetism to satellite navigation, from neural computing to camera geometry, image processing, robotics and beyond.

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Authors and Affiliations

  1. College of Liberal Arts, Department of Material Science, International Christian University, Tokyo, 181-8585, Japan

    Eckhard Hitzer

  2. Mathematical Neuroinformatics Group, Human Technology Research Institute, National Institute of Advanced Industrial Science and Technology, AIST Tsukuba Central 2, Ibaraki, 305-8568, Japan

    Tohru Nitta

  3. Department of Information Science, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto, 606-8585, Japan

    Yasuaki Kuroe

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  1. Eckhard Hitzer
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  2. Tohru Nitta
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Hitzer, E., Nitta, T. & Kuroe, Y. Applications of Clifford’s Geometric Algebra. Adv. Appl. Clifford Algebras 23, 377–404 (2013). https://doi.org/10.1007/s00006-013-0378-4

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