|Dec3-10, 09:41 PM||#1|
Coordinate System Transformations
Lets say I have Coordinate Frame's A and B.
I have the coordinates of the 3 principle axes of B in terms of Frame A,
So for a simple example, a rotation of +pi/2 about the z axis of A would yield the following mapping of the xyz axes of B in terms of Frame A:
XA -> -YB
YA -> XB
ZA -> ZB
My question is: Given a slightly more complex mapping, but without knowledge of euler rotations, how could a Rotation Matrix be calculated?
Thanks in advance
|Dec8-10, 12:40 AM||#2|
Just look at how the standard basis vectors transform. Those are the columns of your rotation matrix. Also, for a change of coordinate systems, a rotation matrix need not exist (some changes are not rotations.)
|Dec13-10, 08:59 AM||#3|
Thanks so much for clearing it up, this is what I need for my application.
|coordinate transfom, mapping, rotation matrix, solved|
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