Clifford Algebras: Geometric Modelling and Chain Geometries with Application in Kinematics

Klawitter, Daniel

After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. The Clifford algebra calculus is used to construct new models that allow descriptions of the group of projective transformations and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. Moreover, kinematic mappings for special Cayley-Klein geometries are developed. These mappings allow a description of existing kinematic mappings in a unifying framework.

Details

Published by: Springer Spektrum

Publication Date: 2014-11-10

Format: Paperback

ISBN-13: 9783658076177

DOI: 10.1007/978-3-658-07618-4

Dimensions: 210cm x148cm

Pages: 216