Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)

DOI10.1007/s00006-018-0851-1zbMath1397.15019OpenAlexW2795258309MaRDI QIDQ1659512

Stéphane Breuils, Vincent Nozick, Eckhard M. S. Hitzer, Sugimoto, Akihiro

Publication date: 15 August 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-018-0851-1

zbMATH Keywords

Clifford algebraquadricgeometric algebraconformal geometric algebra

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Clifford algebras, spinors (15A66) Euclidean analytic geometry (51N20) Analytic geometry with other transformation groups (51N25)

Related Items (7)

Exploring novel surface representations via an experimental ray-tracer in CGA ⋮ Computational aspects of geometric algebra products of two homogeneous multivectors ⋮ Three-dimensional quadrics in conformal geometric algebras and their versor transformations ⋮ 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 ⋮ Garamon: a geometric algebra library generator ⋮ New applications of Clifford's geometric algebra

Cites Work

• Unnamed Item
• Unnamed Item
• A Clifford algebraic approach to line geometry
• \(G_{6,3}\) geometric algebra; description and implementation
• Carrier method for the general evaluation and control of pose, molecular conformation, tracking, and the like
• Geometric algebra with applications in engineering
• Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\)
• A hierarchical representation and computation scheme of arbitrary-dimensional geometrical primitives based on CGA
• A conformal geometric algebra code generator comparison for virtual character simulation in mixed reality
• A geometric algebra implementation using binary tree
• Double conformal geometric algebra
• 3D oriented projective geometry through versors of \(\mathbb R^{3,3}\)
• Understanding Geometric Algebra

This page was built for publication: Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)