Hello,

I have been stuck on this problem for a few days now, and could do with some help!

I have 2 frames of a video, with 5 trackers on an object.

In the first frame, I know the coordinates of the 5 trackers and I have defined one tracker as being the origin A. (I have subtracted its x,y,z values to the other trackers so it can be 0,0,0).

A(x,y,z), B(x,y,z), C(x,y,z), D(x,y,z), E(x,y,z)

In the second frame, the object has moved in space, tilted, and rotated. I know the coordinates of only 4 of the 5 trackers and have defined an origin A'.

A'(x,y,z), B'(x,y,z), C'(x,y,z), D'(x,y,z), E'(x,y,z)

I am trying to find the coordinates of the 5th tracker in the second frame.

I am pretty sure that I need a rotation (and/or transformation) matrix, but I am stuck.

I tried to define a new origin by doing a cross product using two of the vectors

( Cross Product )

but I am now stuck, and can't seem to find any information that would apply specifically to my problem.

Any help would be more than welcome

Frame 1: Frame 2: