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Applications of Clifford’s Geometric Algebra

2013/03/14 by Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe · 172 citations
Computer Science · Mathematics · #Algebra over a field #Algebraic and Geometric Analysis #Artificial intelligence #Clifford algebra #Computer science #Digital Image Processing Techniques #Electromagnetism #Geometric algebra #Geometry #Mathematical Analysis and Transform Methods #Mathematics #Pure mathematics #Robot #Robotics #Scope (computer science) #Universal geometric algebra #cs.CV #math.RA #msc:15A66 #msc:60G35 #msc:62M45 #msc:68T40 #msc:68U10

paper · pdf · doi:10.1007/s00006-013-0378-4

published in Advances in Applied Clifford Algebras 23(2), 377-404 (Birkhäuser) · 26 pages, 91 references

openalex publication_date 2013/03/14 · arxiv created 2013/05/24 · arxiv updated 2013/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations