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March 2005 Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}
Eckhard M.S. Hitzer
Bull. Belg. Math. Soc. Simon Stevin 11(5): 653-662 (March 2005). DOI: 10.36045/bbms/1110205625

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.

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Eckhard M.S. Hitzer. "Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity}." Bull. Belg. Math. Soc. Simon Stevin 11 (5) 653 - 662, March 2005. https://doi.org/10.36045/bbms/1110205625

Information

Published: March 2005
First available in Project Euclid: 7 March 2005

zbMATH: 1083.15045
MathSciNet: MR2130631
Digital Object Identifier: 10.36045/bbms/1110205625

Subjects:
Primary: 15A66 , 51M15 , 51M25

Keywords: 3D Euclidean object modeling , Clifford algebra , geometric algebra , horosphere , orientation , position , radius

Rights: Copyright © 2005 The Belgian Mathematical Society

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Vol.11 • No. 5 • March 2005
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