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Asked: 2026-06-15T11:57:52+00:00

I have two 4×4 transformation matrices that define two coordinate spaces. I am trying

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I have two 4×4 transformation matrices that define two coordinate spaces. I am trying to express a translate transformation in one coordinate space in terms of the other. Can anyone point me in the right direction?

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  1. Editorial Team

    Let A be the matrix from space a to global space G.

    Let B be the matrix from space b to global space G.

    Then to get from a to b we first transform with A to get into G and then with B^-1 (the inverse of B) to get from G to b. Hence

    v_b = B^-1 · A ·v_a
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