Fixed-size quadruples for a new, hardware-oriented representation of the 4D Clifford algebra

DOI10.1007/s00006-010-0258-0zbMath1251.15028OpenAlexW2047752653MaRDI QIDQ451098

Salvatore Vitabile, Giorgio Vassallo, Filippo Sorbello, Silvia Franchini, Antonio Gentile

Publication date: 21 September 2012

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

Full work available at URL: https://doi.org/10.1007/s00006-010-0258-0

zbMATH Keywords

computer graphicsClifford algebracomputational geometrygeometric algebraapplication-specific processorClifford productsClifford sums and differencesembedded coprocessorsFPGA-based prototyping

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Clifford algebras, spinors (15A66)

Related Items (4)

Embedded coprocessors for native execution of geometric algebra operations ⋮ GAPPCO: an easy to configure geometric algebra coprocessor based on GAPP programs ⋮ Fixed-size quadruples for a new, hardware-oriented representation of the 4D Clifford algebra ⋮ Implementation and evaluation of medical imaging techniques based on conformal geometric algebra

Uses Software

• CLIFFORD
• CLUCalc
• Gaalop
• Gaigen
• OpenGL
• cliffordlib
• Cliffosor
• CLU

Cites Work

• Fixed-size quadruples for a new, hardware-oriented representation of the 4D Clifford algebra
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• New foundations for classical mechanics
• Mathematics of Clifford -- a Maple package for Clifford and Graßmann algebras
• Gaalop—High Performance Parallel Computing Based on Conformal Geometric Algebra
• Unnamed Item
• Unnamed Item

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