“Smooth interpolation of orientations with angular velocity constraints using quaternions” by Barr, Currin, Gabriel and Hughes

  • ©Alan H. Barr, Bena Currin, Steven Gabriel, and John F. Hughes

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Title:

    Smooth interpolation of orientations with angular velocity constraints using quaternions

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Abstract:


    No abstract available.

References:


    1. R. Bartels, J. Beatty, and B. Barsky. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling. Morgan Kaufmann, Los Angeles, 1987.
    2. S. Gabriel and J. Kajiya. Spline interpolation in curved space. In “State of the Art Image Synthesis,” Course notes for SIGGRAPH ’85, 1985.
    3. W. R. Hamilton. Lectures on Quaternions. Hodges and Smith, Dublin, 1853.
    4. D. Kochanek and R. Bartels. Interpolating splines with local tension, continuity, and bias control. Computer Graphics, 18(3):33-41, July 1984.
    5. R. S. Millrnan and G. D. Parker. Elements of Differential Geometry. Prentice-Hall, Englewood Cliffs, NJ, 1977.
    6. B. A. Murtagh and M. A. Saunder. MINOS 5.0 user’s guide. Technical Report SOL 83-20, Dept. of Operations Research, Stanford University, 1983.
    7. Ltd Numerical Algorithms Group. NAG Fortran library routine document, 1988.
    8. J. Platt. Constraint methods for flexible models. Computer Graphics, 22(4):279-288, July 1988.
    9. W.H. Press, B.P. Flannery, S.A. Teukolskym, and W.T. Vetterling. Numerical Recipes in C.. Cambridge Univ. Press, Cambridge, England, 1988.
    10. K. Shoemake. Animating rotation with quaternion curves. Computer Graphics, 19(3):245-254, July 1985.
    11. M. Spivak. A Comprehensive Introduction to Differential Geometry. Publish or Perish, Inc., Boston, 1970.
    12. D. Zwillinger. Handbook of Differential Equations. Academic Press, San” Diego, 1989.


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