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Interpolation on regions

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  Interpolation on regions Nabeel Butt <nabeel.butt@gmail.com> - 2011-04-06 09:13 +0000

#1499 — Interpolation on regions

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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Nabeel Butt
UWO,London
Ontario, Canada

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