메뉴 건너뛰기




Volumn 121, Issue 1, 1999, Pages 39-44

Interpolation of spatial displacements using the clifford algebra of e4

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; INTERPOLATION;

EID: 0033098384     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2829427     Document Type: Article
Times cited : (11)

References (21)
  • 2
    • 71549156849 scopus 로고
    • Preliminary Sketch of Biquaternions
    • edited by R. Tucker, Macmillan, London, 1882
    • Clifford, W.K., 1873, “Preliminary Sketch of Biquaternions,” In Mathematical papers, edited by R. Tucker, Macmillan, London, 1882, pp. 658.
    • (1873) Mathematical Papers , pp. 658
    • Clifford, W.K.1
  • 3
    • 0003755154 scopus 로고
    • Springer-Verlag, New York, NY
    • Curtis, M.L., 1984, Matrix Groups, Springer-Verlag, New York, NY.
    • (1984) Matrix Groups
    • Curtis, M.L.1
  • 5
    • 13644271932 scopus 로고    scopus 로고
    • A Metric on Spatial Displacements Using Biquaternions on SO(4)
    • Minneapolis, MN, April 1996
    • Etzel, K.R., and McCarthy, J.M., 1996, “A Metric on Spatial Displacements Using Biquaternions on SO(4),” IEEE Robotics and Automation Conference, Minneapolis, MN, April 1996.
    • (1996) IEEE Robotics and Automation Conference
    • Etzel, K.R.1    McCarthy, J.M.2
  • 7
    • 0028581099 scopus 로고
    • On the Matrix Algebra Realization of the Theory of Biquaternions
    • DE
    • Ge, Q. J., 1994, “On the Matrix Algebra Realization of the Theory of Biquaternions,” Proc. of the 1994 ASME Mechanisms Conference, DE-Vol. 70, pp. 425-432.
    • (1994) Proc. Of the 1994 ASME Mechanisms Conference , vol.70 , pp. 425-432
    • Ge, Q.J.1
  • 8
    • 0028499355 scopus 로고
    • Geometric Construction of Bézier Motions
    • Ge, Q. J and Ravani, B., 1994 “Geometric Construction of Bézier Motions,” ASME Journal of Mechanical Design, Vol. 116, pp. 749-755.
    • (1994) ASME Journal of Mechanical Design , vol.116 , pp. 749-755
    • Ge, Q.J.1    Ravani, B.2
  • 9
    • 0003998814 scopus 로고
    • Dublin. Reprinted by Chelsea Pub., New York, 1969
    • Hamilton, W. R., 1860, Elements of Quaternions, Dublin. Reprinted by Chelsea Pub., New York, 1969.
    • (1860) Elements of Quaternions
    • Hamilton, W.R.1
  • 11
    • 0028428869 scopus 로고
    • Visualization of Moving Objects Using Dual Quaternion Curves
    • Juttler, B., 1994, “Visualization of Moving Objects Using Dual Quaternion Curves,” Computers & Graphics, Vol. 18, pp. 315-326.
    • (1994) Computers & Graphics , vol.18 , pp. 315-326
    • Juttler, B.1
  • 12
    • 0029272620 scopus 로고
    • On the Metrics of Rigid Body Displacements for Infinité and Finite Bodies
    • Martinez, J., and Duffy, J., 1995, “On the Metrics of Rigid Body Displacements for Infinité and Finite Bodies,” ASME Journal of Mechanical Design, Vol. 117, No. 1, pp. 41-47.
    • (1995) ASME Journal of Mechanical Design , vol.117 , Issue.1 , pp. 41-47
    • Martinez, J.1    Duffy, J.2
  • 13
    • 0020826195 scopus 로고
    • Planar and Spatial Rigid Motion as Special Cases of Spherical and 3-Spherical Motion
    • McCarthy, J. M., 1983, “Planar and Spatial Rigid Motion as Special Cases of Spherical and 3-Spherical Motion,” Journal of Mech., Trans., and Auto, in Design, Vol. 105, No. 3, pp. 569-575.
    • (1983) Journal of Mech., Trans., and Auto, in Design , vol.105 , Issue.3 , pp. 569-575
    • McCarthy, J.M.1
  • 15
    • 0029272466 scopus 로고
    • Distance Metrics on the Rigid Body Motions with Applications to Mechanism Design
    • Park, F. C., 1995, “Distance Metrics on the Rigid Body Motions with Applications to Mechanism Design,” ASME Journal of Mechanical Design, Vol. 117, No. 1, pp. 48-54.
    • (1995) ASME Journal of Mechanical Design , vol.117 , Issue.1 , pp. 48-54
    • Park, F.C.1
  • 16
    • 0028571379 scopus 로고
    • Bezier Curves on Riemannian Manifolds and Lie Groups with Kinematics Applications
    • DE
    • Park, F.C., and Ravani, B., 1995, “Bezier Curves on Riemannian Manifolds and Lie Groups with Kinematics Applications,” Proc. of the 1994 ASME Mechanisms Conference, DE Vol. 70 pp. 15-20.
    • (1995) Proc. Of the 1994 ASME Mechanisms Conference , vol.70 , pp. 15-20
    • Park, F.C.1    Ravani, B.2
  • 18
    • 0002349193 scopus 로고
    • Quaternion Calculus as a Basic Tool in Computer Graphics
    • Pletinckx, D., 1989, “Quaternion Calculus as a Basic Tool in Computer Graphics,” The Visual Computer, Vol. 5, pp. 2-13.
    • (1989) The Visual Computer , vol.5 , pp. 2-13
    • Pletinckx, D.1
  • 20
    • 0022095776 scopus 로고
    • Animating Rotation with Quaternion Curves
    • Shoemake, K., 1985, “Animating Rotation with Quaternion Curves,” ACM Siggraph, Vol. 19, No. 3, pp. 245-254.
    • (1985) ACM Siggraph , vol.19 , Issue.3 , pp. 245-254
    • Shoemake, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.