packageUtilities

Utility functions for package Bspline1D

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Utility functions are provided here which are usually not called directly  
by a user, but are needed in the functions of this package  


The following functions are supported:  


  interpolation          Compute the interpolation Bspline  
  interpolation_raw      Compute the interpolation Bspline, but only return the control points  
                                                                                           and the knots  
  interpolationBessel    Compute the interpolation Bspline with Bessel end-conditions  
  interpolationDer       Compute the interpolation Bspline when the first derivative are given  
  n_BasisFuns            Compute the non zero basis functions of the Bspline  
  n_DersBasisFuns        Compute the non zero basis functions and their derivatives  
  n_findSpan             Compute the interval in which the parameter lies  
  norm                   The euklidian norm of a vector  

Release Notes:  

Sept. 13, 2002  
       by Gerhard Schillhuber:  
       first version implemented  

Oct. 17, 2002  
       by Gerhard Schillhuber:  
       new function: interpolation_raw. return only the control points and the knots.  
                       'interpolation' calls 'interpolation_raw'.  



Copyright (C) 2002, Modelica Association and DLR.  

This package is free software. It can be redistributed and/or modified  
under the terms of the Modelica license, see the license conditions  
and the accompanying disclaimer in the documentation of package  
Modelica in file "Modelica/package.mo".

Name	Description
interpolation	Interpolation of the points with a Bspline of degree n
interpolation_bandmatrix	Interpolation of the points with a Bspline of degree n. Do NOT return a Bspline struct. Return the the raw information of control points and knots.
interpolation_raw	Interpolation of the points with a Bspline of degree n. Do NOT return a Bspline struct. Return the the raw information of control points and knots.
interpolationBessel	Interpolation of the points with a Bspline of degree 3 and Bessel end condition
interpolationder	Interpolation of the points and its first derivatives with a Bspline of degree n
n_BasisFuns	Compute the nonvanishing basis functions
n_DersBasisFuns	Compute nonzero basis functions and their derivatives
n_findSpan	Determine the knot span index
norm	The euklidian norm of a vector

packageUtilities

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