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Re: Integrating a function over a polygon

  • To: mathgroup at smc.vnet.net
  • Subject: [mg42523] Re: Integrating a function over a polygon
  • From: "Steve Luttrell" <luttrell at _removemefirst_westmal.demon.co.uk>
  • Date: Sat, 12 Jul 2003 05:19:28 -0400 (EDT)
  • References: <belng1$gsk$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Check out the Calculus`Integration` add-on package.

You can do things like this:

NIntegrate[Boole[x > 0 && y > 0 && x + y < 1]*Exp[-x^2 - y^2],
{x, -Infinity, Infinity},
  {y, -Infinity, Infinity}]

to obtain

0.366047

--
Steve Luttrell
West Malvern, UK

"Jagadeesh balam" <balam at engineering.ucsb.edu> wrote in message
news:belng1$gsk$1 at smc.vnet.net...
> Hi,
>
> I want a method to integrate a function, say a Gaussian pdf like
> exp(-x^2 - y^2) over a random convex polygon whose vertices are known.
> Has anyone done this before?
>
>
>
> Thanks,
>
> Jagadeesh
>
>
>
> **************************************
>
> Jagadeesh Balam
>
> ECE Department
>
> University of California
>
> Santa Barbara
>
> **************************************
>
>
>
>
>



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