Re: Interpolating arrays
- To: mathgroup at smc.vnet.net
- Subject: [mg83580] Re: Interpolating arrays
- From: dh <dh at metrohm.ch>
- Date: Fri, 23 Nov 2007 05:37:05 -0500 (EST)
- References: <fi3k96$bvm$1@smc.vnet.net>
Hi Fred,
i seems that for vector valued functions you have to enclose the
independent variable in braces:
Interpolation[{{{1},{1,1}},{{2},{2,2}},{{3},{3,3}}}]
The documentation is a bit thin here.
hope this helps, Daniel
Fred Klingener wrote:
> Interpolation (according to the doc center) offers to construct an
> interpolating function given x values and f[x] values in the following
> format:
>
> Interpolation[{{x1, f1},{x2, f2},...{xi, fi}...]
>
> Down a few lines, doc center says:
> The fi can be lists or arrays of any dimension
>
> I'm interested in interpolating between 2D geometric points {a, b}, and a
> naive form would be
>
> p = Interpolation[{{x1, {a1, b1}},{x2, {a2, b2}},...,{xi, {ai, bi}}...}],
> expecting to get a form where p[x] would return a 2D point.
>
> Too naive it seems, because it doesn't work. As far as I can determine, it
> returns only an Interpolation on a. How come?
>
> It's straightforward enough to construct separate 1D interpolations on a and
> b, then reassemble them later, but that's just clumsy and seems just not the
> Mathematica Way.
>
> Any help?
>
> TIA,
>
> Fred Klingener
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