Foundations of conic conformal geometric algebra and compact versors for rotation, translation and scaling

DOI10.1007/s00006-019-1016-6zbMath1430.51033OpenAlexW2978333472WikidataQ127171761 ScholiaQ127171761MaRDI QIDQ2010542

Stephen J. Sangwine, Eckhard M. S. Hitzer

Publication date: 27 November 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: http://repository.essex.ac.uk/25528/1/1905.0030v2.pdf

zbMATH Keywords

Clifford algebraconicsconformal geometric algebraversors

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Euclidean analytic geometry (51N20)

Related Items (4)

On factorization of multivectors in Cl(3,0), Cl(1,2) and Cl(0,3), by exponentials and idempotents ⋮ Three-dimensional quadrics in conformal geometric algebras and their versor transformations ⋮ On factorization of multivectors in Cl(2,1)$$ Cl\left(2,1\right) $$, by exponentials and idempotents ⋮ New applications of Clifford's geometric algebra

Uses Software

• Clifford Multivector Toolbox

Cites Work

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• Conformal geometry for viewpoint change representation
• \(G_{6,3}\) geometric algebra; description and implementation
• Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
• Geometric algebra with applications in engineering
• Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)
• Geometric algebra for conics
• Double conformal geometric algebra
• Clifford multivector toolbox (for MATLAB)

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