longhorntt
New member
- Joined
- Feb 8, 2012
- Messages
- 4
Hi,
I have a 3-D vector dataset that is measured in a reference frame (measurement reference frame) that is oriented relative to a horizontal coordinate system. In this dataset I have x-y- and z-component data for the vectors relative to the horizontal coordinate system.
I have an irregular surface, for which I have calculated slope in the x- and y- directions (sign (+/-) follows the right hand rule). The slopes are therefore measured in the x-z and y-z planes. Slopes usually range between -45 to 45 degrees.
I want to solve for the x'-, y'- and z'- component data for the vectors (which remain fixed) in a reference frame where the z component is normal to the irregular surface (and not in the measurement reference frame).
I've been crunching the 2-D examples from my texts, but something does not seem right when I put them together. On the other hand, I know 3-D rotations involve having the Euler angles as an input, but I have no clue how to obtain them using the data I have that characterizes the surface (x- and y- component slopes relative to the measurement reference frame). I also know that the order of the rotations affect the outcome and have no idea how to approach this part of the problem either.
Anyone willing to pitch in? Let me know if I haven't explained the problem clearly.
I have a 3-D vector dataset that is measured in a reference frame (measurement reference frame) that is oriented relative to a horizontal coordinate system. In this dataset I have x-y- and z-component data for the vectors relative to the horizontal coordinate system.
I have an irregular surface, for which I have calculated slope in the x- and y- directions (sign (+/-) follows the right hand rule). The slopes are therefore measured in the x-z and y-z planes. Slopes usually range between -45 to 45 degrees.
I want to solve for the x'-, y'- and z'- component data for the vectors (which remain fixed) in a reference frame where the z component is normal to the irregular surface (and not in the measurement reference frame).
I've been crunching the 2-D examples from my texts, but something does not seem right when I put them together. On the other hand, I know 3-D rotations involve having the Euler angles as an input, but I have no clue how to obtain them using the data I have that characterizes the surface (x- and y- component slopes relative to the measurement reference frame). I also know that the order of the rotations affect the outcome and have no idea how to approach this part of the problem either.
Anyone willing to pitch in? Let me know if I haven't explained the problem clearly.