1KURV2(3NCARG)                    NCAR GRAPHICS                   KURV2(3NCARG)
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NAME

6       KURV2 - does interpolation for parametric curves
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SYNOPSIS

9       CALL KURV2 (T, XS, YS, N, X, Y, XP, YP, S, SIGMA)
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11       The interpolated curve is parameterized by mapping points in the inter‐
12       val [0.,1.] onto the interpolated curve.  The  resulting  curve  has  a
13       parametric  representation  both  of whose components are splines under
14       tension and functions of the polygonal arc  length.  The  value  0.  is
15       mapped  onto  (X[1],Y[1])  and the value 1. is mapped onto (X[N],Y[N]).
16       KURV1 must be called before calling KURV2.
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DESCRIPTION

19       T           (real, input) A value to be mapped to a point on the curve.
20                   The  interval [0.,1.] is mapped onto the curve such that 0.
21                   is mapped to (X(1),Y(1)) and 1. is mapped  to  (X(N),Y(N)).
22                   Values outside of [0.,1.] result in extrapolation.
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24       XS          (real,  oputput)  Contains the X coordinate of the interpo‐
25                   lated point that T maps to.
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27       YS          (real, oputput) Contains the Y coordinate of  the  interpo‐
28                   lated point that T maps to.
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30       N           (integer, input) The number of input data points. (N > 1)
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32       X           (real, input) An array containing the X values of the input
33                   points.
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35       Y           (real, input) An array containing the Y values of the input
36                   points. Adjacent pairs of points must be distinct.
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38       XP          (real, input) An array of length N as computed by KURV1.
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40       YP          (real, input) An array of length N as computed by KURV1.
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42       S           (real, input) An array of length N containing the polygonal
43                   arc lengths of the curve.
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45       SIGMA       (real, input) Tension factor. Values near zero result in  a
46                   cubic  spline;  large  values  (e.g. 50) result in nearly a
47                   polygonal line. A typical value is 1.
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ACCESS

50       To use KURV2, load the NCAR Graphics library ngmath.
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SEE ALSO

53       kurv1, fitgrid_params.
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55       Complete documentation for Fitgrid is available at URL
56       http://ngwww.ucar.edu/ngdoc/ng/ngmath/fitgrid/fithome.html
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59       Copyright (C) 2000
60       University Corporation for Atmospheric Research
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62       This documentation is free software; you  can  redistribute  it  and/or
63       modify  it  under  the  terms of the GNU General Public License as pub‐
64       lished by the  Free  Software  Foundation;  either  version  2  of  the
65       License, or (at your option) any later version.
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67       This  software  is  distributed in the hope that it will be useful, but
68       WITHOUT ANY  WARRANTY;  without  even  the  implied  warranty  of  MER‐
69       CHANTABILITY  or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General
70       Public License for more details.
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72       You should have received a copy of the GNU General Public License along
73       with  this  software;  if  not,  write to the Free Software Foundation,
74       Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
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79UNIX                              March 1998                     KURV2(3NCARG)
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