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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
ateshian@cuorma.orl.columbia.edu
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
ateshian@cuorma.orl.columbia.edu