A geometric algebra implementation using binary tree

DOI10.1007/s00006-017-0770-6zbMath1382.65051OpenAlexW2595105991MaRDI QIDQ1695130

Vincent Nozick, Stéphane Breuils, Laurent Fuchs

Publication date: 7 February 2018

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

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-01510078v2/file/breuils_aaca_2016.pdf

zbMATH Keywords

implementationgeometric algebrarecursive algorithmbinary treesparallel optimizations

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (7)

An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature ⋮ Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\) ⋮ Mvtree for hierarchical network representation based on geometric algebra subspace ⋮ Computational aspects of geometric algebra products of two homogeneous multivectors ⋮ Garamon: a geometric algebra library generator ⋮ A low-memory time-efficient implementation of outermorphisms for higher-dimensional geometric algebras ⋮ New applications of Clifford's geometric algebra

Uses Software

• CLUCalc
• Gaigen
• GAviewer
• Sierra

Cites Work

• Foundations of geometric algebra computing.
• Implementing geometric algebra products with binary trees
• Double conformal geometric algebra
• Understanding Geometric Algebra

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