3
\$\begingroup\$

I've got 6 points in 3D space: A,B,C,D,E,F, that represent 4 vectors. AB is perpendicular to AC and DE is perpendicular to DF.

I need to find a transformation matrix M, that transforms AB to DE and AC to DF. In other words: M⋅AB=DE, M⋅AC=DF

If no scaling was involved, this could be solved with a simple rotation matrix. But since the ratios |AB|/|DE|, |AC|/|DF| might be different, I'm not sure how to proceed.

\$\endgroup\$
2
\$\begingroup\$

The result is given in the M matrix. Note that Trans_DEF and Rot_DEF are constructed in the same manner as ABC.

Equations

| improve this answer | |
\$\endgroup\$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.