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Quaternions vs. Euler angles

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  • Quaternions vs. Euler angles

    Dear all,

    The other day I finished off my Human Locomotion class by looking at
    computer animation of walking. I pointed out to the students that in
    this field, quaternions, rather than Euler angles, are preferred for
    representing angular rotations. The reason for this is (I think) because
    they are sequence independent, do not suffer from gymbla lock, are
    relatively insensitive to round-off errors, and are pure rotation
    matrices (they do not distort the animation with shear or stretch etc.).

    In other words, compared to "Evil" Euler angles, they seem to be
    ideal!...
    http://web2.iadfw.net/sjbaker1/eulers_are_evil.html

    I wonder if you agree with my conclusion (I confess that 3D has never
    been my strong point!) and if so, why quaternions (which are also used
    in robotics, where they form the basis of Denavitt-Hartenberg notation)
    are not used more extensively in biomechanics?

    Chris
    --
    Dr. Chris Kirtley MD PhD
    Associate Professor
    HomeCare Technologies for the 21st Century (Whitaker Foundation)
    NIDRR Rehabilitation Engineering Research Center on TeleRehabilitation
    Dept. of Biomedical Engineering, Pangborn 105B
    Catholic University of America
    620 Michigan Ave NE
    Washington, DC 20064
    Tel. 202-319-6247, fax 202-319-4287
    Email: kirtley@cua.edu
    http://engineering.cua.edu/biomedical

    Clinical Gait Analysis: http://guardian.curtin.edu.au/cga
    Send subscribe/unsubscribe to listproc@info.curtin.edu.au

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