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Re: Integrating scattered data


From: Przemek Klosowski
Subject: Re: Integrating scattered data
Date: Tue, 21 Aug 2007 16:47:20 -0400 (EDT)

   > Do you know anything about how the surface gets from one place to the
   > next?

   What do you mean? No, I don't think I know that. They are scattered
   points without any structure.

You said that you don't want to interpolate, but all quadrature methods
work by implicitly interpolating the function: the bar rule assumes
that the function is constant between xi-dx and xi+dx; the trapezoid rule 
assumes linear increase, Simpson is quadratic, etc. So, the choice is
whether to interpolate first and integrate, or just use integration with
built-in interpolation.


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