Clifford Algebras - Geometric Modelling and Chain Geometries with Application in Kinematics
Clifford Algebras - Geometric Modelling and Chain Geometries with Application in Kinematics After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a…
Specifikacia Clifford Algebras - Geometric Modelling and Chain Geometries with Application in Kinematics
Clifford Algebras - Geometric Modelling and Chain Geometries with Application in Kinematics
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive introduction into Clifford algebras. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined. 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.
Moreover, kinematic mappings for special Cayley-Klein geometries are developed. The author applies this theory and the developed methods to the homogeneous Clifford algebra model corresponding to Euclidean geometry. These mappings allow a description of existing kinematic mappings in a unifying framework.