Dual-Vector Half-Tangents for the Representation of the Finite Motion of Rigid Bodies

M Keler
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M Keler: Fachhochschule München, Lothstrasse 34, 8000 München 2, Federal Republic of Germany

Environment and Planning B, 1979, vol. 6, issue 4, 403-412

Abstract: The finite motion of rigid bodies in space from one position to another is represented by a dual-vector half-tangent. An algorithmic procedure is presented for obtaining the dual-vector, or motor, in various circumstances, and several special cases are considered. The rule for transforming a motor between different coordinate systems is also discussed and finally a formula is presented for determining the (noncommutative) resultant of two successive finite motions.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:6:y:1979:i:4:p:403-412

DOI: 10.1068/b060403

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