% @(#)interptt.hlq	17.1.1.1 (ESO-IPG) 01/25/02 17:43:42 
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%.COPYRIGHT  (c)  1990 European Southern Observatory
%.IDENT      interptt.hlq
%.AUTHOR     JDP, IPG/ESO
%.KEYWORDS   MIDAS, help files, INTERPOLATE/TT
%.PURPOSE    On-line help file for the command: INTERPOLATE/TT
%.VERSION    1.0  29-MAY-1987 : Creation, JDP
%----------------------------------------------------------------
\se
SECTION./TT
\es\co
INTERPOLATE/TT						29-MAY-1987 JDP
\oc\su
INTERPOLATE/TT outtab i,d intab i,d [s] [degree]
	interpolate Table to Table
\us\pu
Purpose:    
           Spline interpolation of 1D data; table to table transformation.
\up\sy
Syntax:     
           INTERPOLATE/TT outtab i,d intab i,d [s] [degree]
\ys\pa
           outtab = name of output table
\ap\pa
           intab  = name of input table
\ap\pa
           i = column reference for independent variable
\ap\pa
           d = column reference for dependent variable.
\\
               If the output column does not exist it is created
\ap\pa
           s = smoothness parameter (default 1.)
\ap\pa
           degree = degree of spline     (default 3, cubic splines)
\as\no
See also:
           INTERPOLATE/TI
\as\no
Note:       
           Values in the column used as independent variable must be
           monotonically increasing or decreasing.
\\
           The parameter s controls the degree of smoothing. This parameter
           has to be chosen carefully: too small s-values will result in
           an overfitting, too large s-values will produce an underfitting
           of the data. For s very large it returns the least-squares
           polynomial fit.
\\
           The number of spline knots and their positions  are determined
           automatically, taking into account the specific behaviour of
           the function underlying the data.
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           Ref.: P. Dierckxx, 1982, Computer Graphics and Image Processing,
           vol. 20, 171-184.
\on\exs
Examples:
\ex
           INTERPOLATE/TT outable :X,:Y intab :X,:Y 1. 3
\xe \sxe