A Non-abelian Group Algebra for Kinematic Coordinate Transformation
نویسنده
چکیده
This paper proposes an algebra T (T,≻) which can be used to express kinematic transformations in chains of frames that move in threedimensional space. The algebraic structure of T will be discussed end the most relevant properties will be presented. This algebra can be translated into a set of algorithms that fit well into a compact formalism, by exploiting the operator-overloading feature of modern object-oriented programming languages. Implementation and application are discussed by means of examples.
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