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Bella Ciolla
Posts:
1
From:
washington state
Registered:
12/14/08


Help with Coon's patch
Posted:
Dec 14, 2008 2:30 AM


Well I have been spending alot of time researching through the web trying to find how a coons patch mesh works (ive seen some stuff about a triangular mesh, but I need a rectangular one) I need it for a particular job I am doing. So far I am aware that you take 4 curves that are connected and closed, and from there you have some interpolation through these curves, and you end up with something like this:
http://ayam.sourceforge.net/docs/pics/sgordon.gif
There is more information about them on this page, in the coon's patch section:
http://www.math.hmc.edu/~gu/math142/mellon/Application_to_CAGD/Surface_Construction_Schem.html#coons
Now my real problem with this is that I am having a difficult time understanding the math, being that its fairly new to me and I need some help understanding from a very basic level how the interpolation works. I understand how the boundary of the rectangle is formed via curves, circles, lines, splines, etc, but its what happens inside the patch that I cant figure it out. And how the cubic curves get this thing to work. any help would be great, especially if you can explain it while being light on the math thanks!



