Double conformal geometric algebra

DOI10.1007/s00006-017-0784-0zbMath1382.15035OpenAlexW2285532564MaRDI QIDQ1695135

Robert Benjamin Easter, Eckhard M. S. Hitzer

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-017-0784-0

zbMATH Keywords

conformal geometric algebraClifford geometric algebraquadric surfaceDarboux Dupin cyclidedouble conformal/Darboux cyclide geometric algebra

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Clifford algebras, spinors (15A66) Surfaces in Euclidean and related spaces (53A05) General theory of distance geometry (51K05) Euclidean analytic geometry (51N20)

Related Items (9)

Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\) ⋮ Geometric algebra for conics ⋮ Three-dimensional quadrics in conformal geometric algebras and their versor transformations ⋮ A geometric algebra implementation using binary tree ⋮ 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 ⋮ Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment ⋮ On specific conic intersections in GAC and symbolic calculations in GAALOPWeb ⋮ New applications of Clifford's geometric algebra

Uses Software

• SymPy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Applications of Clifford's geometric algebra
• Darboux cyclides and webs from circles
• Foundations of geometric algebra computing.
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
• Geometric algebra with applications in engineering
• \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics
• Geometric algebra to model uncertainties in the discretizable molecular distance geometry problem
• Crystal planes and reciprocal space in Clifford geometric algebra
• Conformal Geometry, Euclidean Space and Geometric Algebra
• Computer Algebra and Geometric Algebra with Applications

This page was built for publication: Double conformal geometric algebra