Computing perspective projections in 3-dimensions using rotors in the homogeneous and conformal models of Clifford algebra

DOI10.1007/s00006-014-0439-3zbMath1335.65030OpenAlexW2033178972MaRDI QIDQ742356

Xiaohong Jia, Stephen Mann, Ronald N. Goldman

Publication date: 18 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00006-014-0439-3

zbMATH Keywords

rotorClifford algebraaffine transformationprojective transformationperspective projectionconformal modelelliptical homogeneous modelparabolic homogeneous modelversor

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (3)

Closed form of inverse Plücker correspondence in line geometry ⋮ Affine spinor decomposition in three-dimensional affine geometry ⋮ \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics

Uses Software

• GAviewer

Cites Work

• Geometric algebra with applications in engineering
• \(R(4, 4)\) as a computational framework for 3-dimensional computer graphics
• On the Homogeneous Model of Euclidean Geometry
• A Homogeneous Model for Three-Dimensional Computer Graphics Based on the Clifford Algebra for ℝ3
• Motor algebra approach for visually guided robotics
• Unnamed Item

This page was built for publication: Computing perspective projections in 3-dimensions using rotors in the homogeneous and conformal models of Clifford algebra