Construct a rotation matrix out of another rotation matrix

AI Thread Summary
To adjust a rotation matrix from one coordinate point A to another point B, it's essential to understand that the rotation about line AB remains consistent. The discussion highlights the need to modify the rotation and translation matrices to reflect the new center of rotation at B. Participants suggest using mathematical relationships involving the axes perpendicular to AB to facilitate this adjustment. Clarification is sought on specific terms used in the explanation, indicating a need for further elaboration on the concepts involved. Ultimately, the focus is on accurately recalibrating the matrices to ensure correct landmark positioning after the rotation around point B.
TravelGirl
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The following is my problem: I have a rotation and rotation matrix, based on rotations around coordinate A(x1,y1,z1). But actually, the rotation found place around coordinate B(x2,y2,z2).

How can I adjust my rotation and translation matrix, so that it is adjusted for the rotations around coordinate B?
 
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Hi TravelGirl! :smile:

A rotation along AB is the same for both representations.

For rotations about axes AK and BK' perpendicular to AB, use σk'σk = … ? :wink:
 
Maybe I explained my problem incorrectly, I am sorry for that.

Based on the rotations around point A, I received landmarks of the object I rotated and also got a rotation and translation matrix.
Though, actually I should rotate around B, and correct the positions of my landmarks for this.

So how do I correct my matrices for rotating around B in stead of A.
(and what does 'K' mean in your explanation? )
 

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