Titlebook: Clifford Algebras; Geometric Modelling Daniel Klawitter Book 2015 Springer Fachmedien Wiesbaden 2015 Cayley-Klein geometries.Clifford alge

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978-3-658-07617-7Springer Fachmedien Wiesbaden 2015

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dean 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 o

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Book 2015eory 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.

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Book 2015s. 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 th

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The Reasons of the Intellectualsaccomplished in detail for the Euclidean spaces of dimension two and three. After that, we give an overview of possible kinematic mappings for Cayley-Klein spaces of dimension two and three. Moreover, the mapping for the four-dimensional Euclidean space is presented. This chapter is already published, see [41].

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