Groups > comp.soft-sys.math.mathematica > #1484

Interpolation on a triangular region

From	Nabeel Butt <nabeel.butt@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Interpolation on a triangular region
Date	2011-04-05 10:43 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<inerp4$j87$1@smc.vnet.net> (permalink)

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Dear All,
      It seems to me as if Mathematica's Interpolation [  ] was designed for
square or rectangular regions.An example of this type would be
Interpolation[Table[{{x,y},f[x,y]},{x,0,1,0.1},{y,0,1,0.1}]].Now if I have a
slightly non-rectangular region say a triangular region for
Interpolation[Table[{{x,y},f[x,y]},{x,0,1,0.1},{y,0,1-x,0.1}]] -Mathematica
just gives a warning but still interpolates the data albeit with linear
order.Anyways , in this example it worked.However , with larger data sets
and in parallel program making use of triangular interpolation many times my
program either freezes or kernel shuts-does not happen with rectangular
region. Any ideas of how to interpolate on triangular regions or even
arbitrary non-rectangular regions using built-in features efficiently? Now I
know from numerical analysis texts that this is not a difficult task but I
am just looking for good built-in functions or even packages that could help
me .
    Thanks !
            Nabeel

-- 
"We have not succeeded in answering all our problems.The answers we have
found only serve to raise a whole set of new questions.In some ways we feel
that we are as confused as ever,but we believe we are confused on a higher
level and about more important things."
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Nabeel Butt
UWO,London
Ontario, Canada

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Interpolation on a triangular region Nabeel Butt <nabeel.butt@gmail.com> - 2011-04-05 10:43 +0000

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