Applications of Clifford’s Geometric Algebra

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 uni...

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Veröffentlicht in:Advances in applied Clifford algebras 2013-06, Vol.23 (2), p.377-404
Hauptverfasser: Hitzer, Eckhard, Nitta, Tohru, Kuroe, Yasuaki
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-013-0378-4