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Surface-fitting of irregularly spaced data points

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  • Surface-fitting of irregularly spaced data points

    In response to Marco Viceconti and Ben's messages on surface-fitting of
    irregularly distributed data points, I would refer to the following paper:

    "A Method of Bivariate Interpolation and Smooth Surface Fitting for
    Irregularly Distributed Data Points", Hiroshi Akima, ACM Transactions on
    Mathematical Software, Vol. 4, No. 2, June 1978, pp. 148-159.

    Also see pp. 160-164 for a description of a FORTRAN code which implements
    the surface-fitting procedure. The full listing of the code can be
    obtained directly from ACM Algorithms Distribution Service, according to
    the copy of the paper that I have, although I do not have information on how
    to contact this service.

    I have used the IMSL implementation of Akima's algorithm and I have had
    very good results so far, although my surface data points are fairly
    regularly spaced. Note that this is a surface interpolation scheme, not a
    surface approximation scheme. The surface that you obtain will pass
    through all the points, noise and all. I hope that this helps.

    Gerard A. Ateshian
    Assistant Professor
    Columbia University