Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\)
From MaRDI portal
Publication:1686875
DOI10.1007/s00006-017-0798-7zbMath1386.15045OpenAlexW2739229856MaRDI QIDQ1686875
Stephen Mann, Juan Du, Ronald N. Goldman
Publication date: 18 December 2017
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-017-0798-7
Related Items (8)
Paravectors and the geometry of 3D Euclidean space ⋮ Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\) ⋮ Projective geometric algebra as a subalgebra of conformal geometric algebra ⋮ Self-reverse elements and lines in an algebra for 3D space ⋮ On the Clifford algebraic description of transformations in a 3D Euclidean space ⋮ Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment ⋮ Garamon: a geometric algebra library generator ⋮ New applications of Clifford's geometric algebra
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric algebra with applications in engineering
- \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics
- 3D oriented projective geometry through versors of \(\mathbb R^{3,3}\)
- Geometric algebras for Euclidean geometry
- Lie groups as spin groups
- Conic and cyclidic sections in double conformal geometric algebra G8,2 with computing and visualization using Gaalop
- Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms
- On the Homogeneous Model of Euclidean Geometry
- Computational line geometry
This page was built for publication: Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\)
