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May 1st, 2013, 10:14 PM   #1
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3d interpolation

I'm not really sure if I'm posting this on the right forum (so correct me if I'm wrong).

I learned in my lessons of math, that it is possible to interpolate 2D points to get a curve. I was a bit interessted in this concept, and wandered if you could extend it?

Say you have some 3D points:
a(x,y,z)
b(x',y',z')
c(x",y",z")
...
Would it be possible to calculate a surface from this?

To make my question clearer, here is a more concrete example:
Suppose:
a(1,0,0)
b(0,1,0)
c(0,0,1)
d(-1,0,0)
e(0,-1,0)
f(0,0,-1)
.... (all points lying on the surface of a sphere)

Could I somehow deduce from this a curve with equation: x+y+z = 1?

Thanks for your help
greatings

GenZ
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