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Member of the research staff at Riverside Research. PhD in physics. Blogger. Husband. Father. Very busy.


Aug
27
accepted How to check if a 3D point is in a planar polygon?
Aug
20
awarded  Good Answer
Jul
25
answered How to integrate a function over a 3D planar polygon?
Jul
2
awarded  Curious
Jun
1
awarded  Nice Answer
Mar
12
awarded  Popular Question
Feb
28
awarded  Nice Question
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awarded  Yearling
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Jun
25
comment How to integrate a function over a 3D planar polygon?
Oh, of course. Great answer!
Jun
25
accepted How to integrate a function over a 3D planar polygon?
Jun
25
comment How to integrate a function over a 3D planar polygon?
Wow, excellent! In your first approach, I think you may be missing the corrected differential?
Jun
21
comment How to integrate a function over a 3D planar polygon?
I've updated my question to make the fact that I'm integrating a function a little clearer. And no rush -- for the time being, my answer below is sufficient for my needs, but not general.
Jun
21
revised How to integrate a function over a 3D planar polygon?
added a function
Jun
21
comment How to integrate a function over a 3D planar polygon?
I might be misunderstanding something in your answer. If the function is, e.g. f[x_,y_z_]:=x+y+z and your triangle's normal is +y, the function in the integrand needs to be evaluated at the actual x, y z. In my example, f[x_,y_z_]:=1 so there's no need to worry about that, but for an arbitrary function you'd need to map those coordinates, too.
Jun
21
comment How to integrate a function over a 3D planar polygon?
This works fine for the area function; I guess you'd need to map the {x,y,z} coordinates passed into the function, as well?
Jun
21
answered How to integrate a function over a 3D planar polygon?