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Number of control points for DLT

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  • Number of control points for DLT

    Dear colleagues:

    Tomislav Pribanic just posted a fine summary of replies to his recent
    question on the DLT. Ton van den Bogert mentioned in his reply that
    there is not much improvement in the DLT when more than 16 points are
    used, referring to the Chen et al. paper (see below). This is not what
    we have found at Arizona State University. I think the number is closer
    to 50. Please refer to my paper in the Journal of Biomechanics in
    October 1995 (volume 28, pp. 1219-1224.) There Scott McLean (I know
    there are two Scott McLean's active in the biomechanics community
    today--this is the one that is at Iowa State University) and I showed
    the accuracy of predicting "non-control" points increased with
    increasing numbers of control points up to 60 (the limit of our
    available control points). We used 48 other points as "non-control"
    points (points whose precise 3-D locations are known but which were not
    used in the calibration). In the paper we discuss the limitations of
    the Chen paper.

    We recently purchased from Peak Performance Technologies a custum DLT
    calibration object with approximately 50 points because their standard
    one with 24 is not sufficient in my opinion. I'd like to know what
    others think. Perhaps this will stimulate a discussion on biomch-l?

    Regards,

    --Rick

    Richard N. Hinrichs, Ph.D.
    Dept. of Exercise Science
    Arizona State University
    Hinrichs@asu.edu


    -- Ton van den Bogert replied to Tomislav Pribanic:

    ************************************************** **********************************

    . .

    . .
    The MDLT has only 10 calibration parameters (not 11), since it assumes
    that the
    u and v axis in image space are perpendicular. This is true for film
    and video.
    With MDLT, you need at least 5 calibration points, but more is
    recommended
    for reliability. Reference:

    Chen, L., Armstrong, C.W., Raftopoulos, D.D., (1994) An investigation on
    the
    accuracy of three-dimensional space reconstruction using the direct
    linear
    transformation technique. J. Biomech. 27:493-500.
    [Good paper on performance of the DLT using different sets of
    calibration
    points. It is shown that significant improvement can be gained by
    increasing the number of calibration points to 16. More than that
    does not help much. Some discussion of nonlinearity and how to
    correct for that.]

    -- Ton van den Bogert
    Department of Biomedical Engineering
    Cleveland Clinic Foundation
    ************************************************** *****************************
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