If you want one solution no matter which one, you can consider your curve
equation to be

x = f(u), y= g(u), z = h(u) (f,g,h being 2 nd degree polynomials (for
instance))

Where u belongs to [0 ; 1]

Let A=(x0, y0, z0), B = (x1, y1, z1), C=(x2, y2,z2) and the curve being in A
for u = 0, in B for u = 1/2, in C for u = 1

so you get the equations :

x = a + b*u + c*u*u

u= 0 ==> x0 = a
u=1/2 ==> x1 = a +b/2 + c/4
u = 1 ==> x2 = a + b +c

and so on for the y's and the z's
a very easy set of equations to solve

This is a stupid way to get  what you want, may be you should consider some
more constraints

Philippe




>This doesn't help me much I need to know how to actually do it. The path
>itself is what I need not an surface following it. Thanks anyway.

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