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Volumn 120, Issue 3, 1998, Pages 404-407

On the matrix realization of the theory of biquaternions

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; NUMBER THEORY; VECTORS;

EID: 0032163775     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2829166     Document Type: Article
Times cited : (16)

References (19)
  • 4
    • 71549156849 scopus 로고
    • Preliminary Sketch of Biquaternions
    • edited by R. Tucker, London, Macmillan, 1882
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    • (1873) Mathematical Papers , pp. 658
    • Clifford, W.K.1
  • 5
    • 0004237261 scopus 로고
    • 3rd ed., University of Toronto Press, Toronto
    • Coxeter, H. S. M., 1957, Non-Euclidean Geometry, 3rd ed., University of Toronto Press, Toronto, pp. 309.
    • (1957) Non-Euclidean Geometry , pp. 309
    • Coxeter, H.S.M.1
  • 6
    • 0003755154 scopus 로고
    • 2nd ed., Springer-Verlag, New York
    • Curtis, M. L., 1984, Matrix Groups, 2nd ed., Springer-Verlag, New York, pp. 209.
    • (1984) Matrix Groups , pp. 209
    • Curtis, M.L.1
  • 7
    • 0003779401 scopus 로고
    • Translated and reproduced by the Clearinghouse for Federal Scientific and Technical Information, Springfield, VA. Document No. FTD-HT-23-1632-67
    • Dimentberg, F. M., 1965, “The Screw Calculus and its Application in Mechanics,” Translated and reproduced by the Clearinghouse for Federal Scientific and Technical Information, Springfield, VA. Document No. FTD-HT-23-1632-67.
    • (1965) The Screw Calculus and Its Application in Mechanics
    • Dimentberg, F.M.1
  • 8
    • 0025591685 scopus 로고
    • An Algebraic Formulation of Configuration-Space Obstacles for Spatial Robots
    • Cincinnati, OH
    • Ge, Q. J., and McCarthy, J. M., 1990, “An Algebraic Formulation of Configuration-Space Obstacles for Spatial Robots,” Proc. IEEE Inf I. Conf. on Robotics and Automation, Cincinnati, OH, Vol. 3, pp. 1542-1547.
    • (1990) Proc. IEEE Inf I. Conf. On Robotics and Automation , vol.3 , pp. 1542-1547
    • Ge, Q.J.1    McCarthy, J.M.2
  • 9
    • 0026241695 scopus 로고
    • Functional Constraints as Algebraic Manifolds in a Clifford Algebra
    • Ge, Q. J., and McCarthy, J. M., 1991, “Functional Constraints as Algebraic Manifolds in a Clifford Algebra,” IEEE Trans, on Robotics and Automation, Vol. 7, No. 5, pp. 670-677.
    • (1991) IEEE Trans, on Robotics and Automation , vol.7 , Issue.5 , pp. 670-677
    • Ge, Q.J.1    McCarthy, J.M.2
  • 10
    • 0028497314 scopus 로고
    • Computer Aided Geometric Design of Motion Interpolants
    • Ge, Q. J., and Ravani, B., 1994a, “Computer Aided Geometric Design of Motion Interpolants,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 116, No. 3, pp. 756-762.
    • (1994) ASME JOURNAL OF MECHANICAL DESIGN , vol.116 , Issue.3 , pp. 756-762
    • Ge, Q.J.1    Ravani, B.2
  • 11
    • 0028499355 scopus 로고
    • Geometric Construction of Bézier Motions
    • Ge, Q. J., and Ravani, B., 1994b, “Geometric Construction of Bézier Motions,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 116, No. 3, pp. 749-755.
    • (1994) ASME JOURNAL OF MECHANICAL DESIGN , vol.116 , Issue.3 , pp. 749-755
    • Ge, Q.J.1    Ravani, B.2
  • 17
    • 85025210281 scopus 로고
    • Personal communications
    • Ravani, B., 1990, Personal communications.
    • (1990)
    • Ravani, B.1
  • 19
    • 85013917341 scopus 로고
    • Application of Dual-number Quaternion Algebra to the Analysis of Spatial Mechanisms
    • Yang, A. T., and Freudenstein, F., 1964, “Application of Dual-number Quaternion Algebra to the Analysis of Spatial Mechanisms,” Journal of Appl Mech. Vol. 31, pp. 300-308.
    • (1964) Journal of Appl Mech , vol.31 , pp. 300-308
    • Yang, A.T.1    Freudenstein, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.