Projective geometric algebra as a subalgebra of conformal geometric algebra

DOI10.1007/s00006-021-01118-7zbMath1462.15028arXiv2002.05993OpenAlexW3132735888MaRDI QIDQ2661143

Aleš Návrat, Petr Vašík, Jaroslav Hrdina, Leo Dorst

Publication date: 1 April 2021

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

Full work available at URL: https://arxiv.org/abs/2002.05993

zbMATH Keywords

Euclidean geometryconformal geometric algebraprojective geometric algebra

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Analytic geometry with other transformation groups (51N25) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (2)

On some Lie groups in degenerate Clifford geometric algebras ⋮ On specific conic intersections in GAC and symbolic calculations in GAALOPWeb

Uses Software

• ganja.js

Cites Work

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• Control of 3-link robotic snake based on conformal geometric algebra
• Foundations of geometric algebra computing.
• Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\)
• Geometric algebras for Euclidean geometry
• CGA-based robotic snake control
• Doing Euclidean plane geometry using projective geometric algebra
• On the Homogeneous Model of Euclidean Geometry
• Guide to Geometric Algebra in Practice

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