Re: Interpolation problem

• To: mathgroup at smc.vnet.net
• Subject: [mg33484] Re: [mg33435] Interpolation problem
• From: Tomas Garza <tgarza01 at prodigy.net.mx>
• Date: Fri, 22 Mar 2002 04:07:54 -0500 (EST)
• References: <200203211427.JAA18160@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```I don't know what you mean by "it deviates between points". Perhaps you mean
the interpolating function doesn't have a credible behavior, right? Let me
quote Stan Wagon on this: "Getting a smooth curve through some data points
is not always enough. Sometimes it is critical to preserve the general shape
suggested by the data". This question is treated in Mathematica in Education
and Research, Vol. 8, 3-4, p. 103. There is a very good package written by
Stan, which you may get from him at wagon at macalester.edu . I have used it
and I think it is extremely useful in the kind of problems you allude to.

Tomas Garza
Mexico City
----- Original Message -----
From: "KIMIC Weijnitz Peter" <peter.weijnitz at mic.ericsson.se>
To: mathgroup at smc.vnet.net
Subject: [mg33484] [mg33435] Interpolation problem

> If you use Intepolation on these data, it looks strange, why?
>
> mm={{0.8,1/0.8},{0.9,1/0.9},{2.8,1/2.8},{5.8,1/5.8},{5.9,1/5.9}};
>
> I did:
>
> imm=Interpolation[mm];
>
> Plot[imm[t],{t,0.8,5.9},PlotRange->All,
>   Epilog->Evaluate[mm/.{a_,b_}->{AbsolutePointSize[10],Point[{a,b}]}]];
>
> The resulting curve goes through all points but it deviates between
> points?
>
> I have tred different intepolationorder values.
>
>
>
> Best regards
> Peter W
>

```

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