Fundamentals of quaternionic kinematics in Euclidean 4-space (Q297585)
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scientific article; zbMATH DE number 6598530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fundamentals of quaternionic kinematics in Euclidean 4-space |
scientific article; zbMATH DE number 6598530 |
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Fundamentals of quaternionic kinematics in Euclidean 4-space (English)
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27 June 2016
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In the present paper, based on a kinematic mapping for the group \(\mathrm{SO}(4)\) of displacements of Euclidean 4-space, it is shown, that the mapping of basic elements like points, oriented lines, oriented planes, oriented hyperplanes, instantaneous screws, etc. can be written compactly in terms of \(2\times2\) quaternionic matrices. Finally, the fundamentals of the velocity analysis, namely instantaneous screws and their geometric parameters are also studied.
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kinematic mapping
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Euclidean 4-space
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quaternion
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quaternionic matrix
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instantaneous screw
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0.9229872
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0.88477796
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0.88394666
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0.8826083
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0.8810196
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0.8657752
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