Interpolation in Conformal Geometric Algebra
Arvid Halma
Broschiertes Buch

Interpolation in Conformal Geometric Algebra

Toward Unified Interpolation of Euclidean Motions in the Conformal Model of Geometric Algebra

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This thesis shows how the conformal model in geometric algebra is able to describe Euclidean geometry. Since transformations in this model are structure preserving, this algebra is able to treat motions in a unified way. In our search for a general interpolation method of transformations, we focus on determining their logarithms. First we look at how Taylor series can be evaluated for transformations in this algebra. A drawback is that in general infinite series has to be evaluated to achieve exact results. Therefore we also present our generalized Chasles theorem, that classically only takes ...