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Thu, 15 Oct 1998 09:00:38 +0200
I've found a fitpackage in leuven belgium.
I don't know anything about it's licensing and if it contains splines (I
didn't test up to now).
Perhaps if somebody is interested to implement he/she could
Here is the README:
(There is also a link to another fitpackage at the end of this README)
FITPACK is a collection of FORTRAN programs for CURVE and SURFACE
SPLINES and TENSOR PRODUCT SPLINES.
Features included are automatic knot selection, error smoothing and data
reduction. Besides the set of data points, the user merely has to
single parameter, called the smoothing factor, to control the tradeoff
closeness of fit and smoothness of fit. Confidence limits for this
are available if the statistical errors on the data can be estimated.
In addition to a standard routine for curve fitting over an interval and
routine for fitting a bivariate spline function to a set of scattered
data on a
rectangular domain, there are special programs for smoothing periodic
parametric curves and surfaces, functions with convexity constraints.
the sphere and other non-rectangular approximation domains. Very
surface fitting routines are provided for applications with data given
on a rectangular, polar or spherical grid. Routines are included for
differentiation and integration of the spline approximations. FITPACK
contains an insertion algorithm and routines for calculating zeros and
coefficients of cubic splines.
The subdirectory ex contains a test program for each of the 29
main routines, e.g. the file mncurf.f contains a sample program for
mnperc.f a test program for percur.f, etc. Some of the test programs
input data. These can be found in the files with initials da, e.g. the
in mnpasu.f needs the data which are stored in dapasu, etc.
The user-level routines should be fairly well documented. Besides a
description, there is a pointer to the lower level FITPACK routines,
this particular routine. This may be useful in case only a restricted
of fitting routines would be needed. A user guide of approximately 300
can be ordered by sending a check of 25 US dollars to
Prof. P. Dierckx
Department of Computer Science
Celestijnenlaan 200 A
B 3001, Heverlee, Belgium
The mathematical fundamentals of FITPACK are described in the book:
Curve and Surface Fitting with Splines, by P. Dierckx,
Monographs on Numerical Analysis, Oxford University Press, 1993,
(ISBN 0-19-853441-8, 286 pages, 56 line figures)
In addition, potential FITPACK users will find there a lot of practical
illustrated with many examples, both purely academic as well as taken
real live. Comments on the software or the book may be addressed to the
via email at the following address: address@hidden
Finally, it should be noted that this software has no connection with
the FITPACK software package of Alan Cline.
Mit freundlichen Gruessen
Daniel Heiserer, BMW AG, Knorrstrasse 147, 80788 Muenchen
Tel.: 089-382-21187, Fax.: 089-382-42820
- spline.m, Wulf-Christof von Karstedt, 1998/10/13