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Groups > comp.soft-sys.math.mathematica > #1516

Re: Interpolation on regions

From Christopher Arthur <aarthur@tx.rr.com>
Newsgroups comp.soft-sys.math.mathematica
Subject Re: Interpolation on regions
Date 2011-04-07 12:04 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <ink98p$g86$1@smc.vnet.net> (permalink)

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Try fixing one variable and interpolating many functions that way...

Nabeel Butt a =E9crit :
> Dear All,
>     Since Mathematica's interpolation works better for rectangular regions I
> was playing around with the Interpolation command. I was wondering that if
> Mathematica's assumes that the cordinates in the rectangular region when
> passed on to Interpolation assumes as if they are of the same form as in
> generated from Table. What would be a way to correct the code I have because
> of I have the same set of points in a rectangular region but not ordered
> like as in a Table it still assumes that the region is unstructured. I
> attach my code below .Thanks !
>        Nabeel
>
> tlist=Union[Flatten[Table[{{{x,y},(x-0.25)^2+(y-0.25)^2},{{1-x,1-y},(x-0.25)^2+(y-0.25)^2}},{x,0,1,0.1},{y,0,1-x,0.1}],2]]
> g=Interpolation[tlist]
>
> tlist=Union[Flatten[Table[{{x,y},(x-0.25)^2+(y-0.25)^2},{x,0,1,0.1},{y,0,1,0.1}],1]]
> g=Interpolation[tlist]
>
>
>  

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Re: Interpolation on regions Christopher Arthur <aarthur@tx.rr.com> - 2011-04-07 12:04 +0000

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