Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}

Eckhard Hitzer

Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}

Rings and Algebras 2013-06-06 v1

Authors: Eckhard Hitzer

Abstract

This paper concentrates on the homogeneous (conformal) model of Euclidean space (Horosphere) with subspaces that intuitively correspond to Euclidean geometric objects in three dimensions. Mathematical details of the construction and (useful) parametrizations of the 3D Euclidean object models are explicitly demonstrated in order to show how 3D Euclidean information on positions, orientations and radii can be extracted.

Keywords

Clifford geometric algebra conformal model Euclidean space horosphere geometric objects parametrization 3D geometry

Cite

@article{arxiv.1306.1007,
  title  = {Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}},
  author = {Eckhard Hitzer},
  journal= {arXiv preprint arXiv:1306.1007},
  year   = {2013}
}

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11 pages

Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}

Abstract

Keywords

Cite

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