Given two sets of 4 non-coplanar points, how do I find the matrix to project from one set to the other?

Thanks.

Originally posted by Don’t Disturb:

Given two sets of 4 non-coplanar points, how do I find the matrix to project from one set to the other?

Thanks.

Suppose you have (x1, y1, z1),…(x4, y4, z4)

and (x’1, y’1, z’1),…(x’4, y’4, z’4).

Create 2 matrices:

M =

x1 x2 x3 x4

y1 y2 y3 y4

z1 z2 z3 z4

1 1 1 1

M’ =

x’1 x’2 x’3 x’4

y’1 y’2 y’3 y’4

z’1 z’2 z’3 z’4

1 1 1 1

The transformation T you may be looking for would be:

T * M = M’

T = M’ * M^-1

Thankyou very much.