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Models and Representations

  • Daniel Klawitter
Chapter

Abstract

In this chapter we give a survey on methods that are used nowadays to describe spatial displacements and other transformations. Therefore, point models for lines and spatial displacements in three-dimensional Euclidean space are presented. Moreover, different methods to describe displacements are examined. We review old concepts such as dual numbers, quaternions, and dual quaternions. Furthermore, we give a short review about homogeneous coordinates and how to ” linearize ” displacements. After that we consider Clifford algebras and special Clifford algebra models. These models are a current field of research.

Keywords

Null Vector Geometric Algebra Algebra Element Geometric Product Exterior Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Fachmedien Wiesbaden 2015

Authors and Affiliations

  1. 1.Institut für GeometrieTU DresdenDresdenGermany

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