math - map points between two triangles in 3D space -

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edit

i don't know important, destination triangle angles may different these of source. fact makes transformation non-affine ? (i'm not sure)

alt text

i have 2 triangles in 3d space. given know (x,y,z) of point in first triangle , know vectors v1,v2,v3. need find point (x',y',z'). transformation should point (x,y,z) vectors v1,v2,v3 transformed point in second triangle ?

thanks !!!

you want matrix transformation t such t x = x', x matrix columns co-ordinates of vertexes of first triangle , x' same second triangle. multiplying each side inverse of x yields t = x' x-1.


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