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arXiv:1305.5663math.RA

Applications of Clifford's Geometric Algebra

Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe

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.

arXiv comments
26 pages, 91 references
Journal reference
Advances in Applied Clifford Algebras: Volume 23, Issue 2 (2013), Page 377-404
DOI
doi:10.1007/s00006-013-0378-4
Subjects
math.RARings and Algebras cs.CVComputer Vision and Pattern Recognition

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  1. Geometric Algebra for Python 1 comment

    • From a paper (out of a quick google search) [1]: * neural computing * image and signal processing * computer and robot vision * control problems 1: https://arxiv.org/pdf/1305.5663.pdf

      emmanueloga_View on HNParent context

  2. Deep Quaternion Networks (2017) [pdf] 1 comment

    • The fine article generalizes complex numbers to quaternions. Okay. But quaternions are themselves generalized by Geometric Algebra. And there is a plenty of information about use of GA in the field of neural computing: https://arxiv.org/pdf/1305.5663.pdf (page 3). For example…

      theszView on HNParent context

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