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MathGroup Archive 2005

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Re: Spline

  • To: mathgroup at smc.vnet.net
  • Subject: [mg58288] Re: Spline
  • From: Peter Pein <petsie at dordos.net>
  • Date: Sun, 26 Jun 2005 01:33:50 -0400 (EDT)
  • References: <d9it0o$crk$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Pratik Desai schrieb:
> Hi
> I am trying to fit a spline through a data set  ranging in value 0 to1 
> incremented by  step size 0.1 (i.e the "x-axis" }, shown below. I have 
> information for points 0.1 to 0.9 in damprat.  I know at point 0 and 1 
> the values for damprat is zero. Now for presentation reasons I want the 
> curve to pass through the points (0,0) and {1,0). Is there a way for the 
> spline to be extended through those points. Any suggestions would be 
> greatly appreciated
> 
> << Graphics`Spline`
> damprat = {0.014997649179748, 0.054098060220146, 0.104209568084688, \
> 0.145267085272089, 0.160493044616599, 0.145267084912456, 
> 0.104209571529220, \
> 0.054098058877509, 0.014997649185286}
> dat = Range[0.1, 0.9, 0.1]
> data1 = Table[{dat[[s]], damprat[[s]]*10/s}, {s, 1, Length[
>     dat]}] (*The dataset i am interested in fitting a spline through*)
> spline = SplineFit[data1, Cubic]
> ParametricPlot[spline[u], {
>   u, 0, 8}, Compiled ->
>     True, PlotRange -> {0, 0.4}, Ticks -> {dat, Automatic}]
> 
> Thanks
> 
> Pratik
> 
Is this

<< "Graphics`Spline`"
damprat = {0.014997649179748, 0.054098060220146, 0.104209568084688,
    0.145267085272089, 0.160493044616599, 0.145267084912456,
    0.10420957152922, 0.054098058877509, 0.014997649185286, 0};
data1 = Prepend[Transpose[
  {0.1*Range[10], 10*(damprat/Range[10])}], {0, 0}];
spline = SplineFit[data1, Cubic];
ParametricPlot[spline[u], {u, 0, 10}, PlotRange -> {0, 0.4},
  Ticks -> {0.1*Range[10], Automatic}];

acceptable?
-- 
Peter Pein
Berlin


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