\(G_{6,3}\) geometric algebra; description and implementation

DOI10.1007/S00006-014-0442-8zbMath1298.15033OpenAlexW2073973836MaRDI QIDQ742357

Julio Zamora-Esquivel

Publication date: 18 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00006-014-0442-8

zbMATH Keywords

non-Euclidean geometryClifford algebraconformal geometrygeometric algebra\(G_{6,3}\)quadratic surface

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66)

Related Items (9)

A geometric approach for forward kinematics analysis of a 3-SPS/S redundant motion manipulator with an extra sensor using conformal geometric algebra ⋮ Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\) ⋮ Vanishing vector rotation in quadric geometric algebra ⋮ Geometric algebra for conics ⋮ General steerable two-sided Clifford Fourier transform, convolution and mustard convolution ⋮ Foundations of conic conformal geometric algebra and compact versors for rotation, translation and scaling ⋮ Unified spatial intersection algorithms based on conformal geometric algebra ⋮ Reflections in conics, quadrics and hyperquadrics via Clifford algebra ⋮ On specific conic intersections in GAC and symbolic calculations in GAALOPWeb

Uses Software

• CLIFFORD
• CLICAL

Cites Work

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• Foundations of geometric algebra computing.
• On parallelizing the Clifford algebra product for \texttt{CLIFFORD}
• Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica's OpenCLLink
• Efficient Algorithms for Factorization and Join of Blades

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