Not sure if this goes here or in Random, or if anyone on this board could even help me with this, but here goes.
I'm looking for a numerical integration technique, which can be implemented in either Matlab or Maple, which can give me the area of a shape of rather complex geometry, defined by a set of discrete points. I've got ways of doing a rough approximation of this (ie the polyarea function in Matlab) but am considerably lost as to how to do this with a higher degree of precision. I am able to create a cubic spline for the shape, and I believe this may help, but again I don't know the techniques of integration which would lead me to my answer.
As this probably wouldn't lead to much of a group discussion, replies by PM would be appreciated. Unless, of course, there are more mathematicians on this board than I thought.
Lloyd: When I met Mary, I got that old fashioned romantic feeling, where I'd do anything to bone her. Harry: That's a special feeling.
"Jericho tries for the Walls of Jericho early on, but it is blocked by mysterious rays from Shawn Michaels while a message on the Titantron says, 'This move is mine now.' " -RAW Satire, 05.10.04
Well, that's interesting. Basically, to the letter, I have exactly the same problem. I tried turning off the Direct X stuff (as suggested), and while it may be a bit ropey, everything DOES then play. It's confusing.