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

Author

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  • M Keler

    (Fachhochschule München, Lothstrasse 34, 8000 München 2, Federal Republic of Germany)

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.

Suggested Citation

  • M Keler, 1979. "Dual-Vector Half-Tangents for the Representation of the Finite Motion of Rigid Bodies," Environment and Planning B, , vol. 6(4), pages 403-412, December.
    • Handle: RePEc:sae:envirb:v:6:y:1979:i:4:p:403-412
    DOI: 10.1068/b060403
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