Advances in Applied Clifford Algebras

, Volume 23, Issue 2, pp 377–404 | Cite as

Applications of Clifford’s Geometric Algebra

  • Eckhard Hitzer
  • Tohru Nitta
  • Yasuaki Kuroe


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.


Hypercomplex algebra hypercomplex analysis geometry science engineering applications 


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Authors and Affiliations

  1. 1.College of Liberal Arts, Department of Material ScienceInternational Christian UniversityTokyoJapan
  2. 2.Mathematical Neuroinformatics GroupHuman Technology Research Institute, National Institute of Advanced Industrial Science and TechnologyIbarakiJapan
  3. 3.Department of Information ScienceKyoto Institute of TechnologyKyotoJapan

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