3D rotation to align vector A on B, constraining the result coordinate system
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I'm trying work out the maths for controlling a 3d camera 'look around' rotation using mouse drag&drop.
I'd like to find a rotation $R$ that allows me to keep the 'dragged' direction beneath the mouse during the drag.
So far, I easily got something working using Calculate Rotation Matrix to align Vector A to Vector B in 3d?.
But I need to find a rotation that does not introduce roll on my camera : given $hat{x'} = R.hat{x}$, the constraint should be $hat{x'}.hat{y_{mathrm{world}}} = hat{x}.hat{y_{mathrm{world}}} = 0$.
How could I find a rotation that has this additional constraint, if it exists ?
rotations
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
asked Nov 26 at 15:28
rotoglup
1012
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up vote
0
down vote
favorite
I'm trying work out the maths for controlling a 3d camera 'look around' rotation using mouse drag&drop.
I'd like to find a rotation $R$ that allows me to keep the 'dragged' direction beneath the mouse during the drag.
So far, I easily got something working using Calculate Rotation Matrix to align Vector A to Vector B in 3d?.
But I need to find a rotation that does not introduce roll on my camera : given $hat{x'} = R.hat{x}$, the constraint should be $hat{x'}.hat{y_{mathrm{world}}} = hat{x}.hat{y_{mathrm{world}}} = 0$.
How could I find a rotation that has this additional constraint, if it exists ?
rotations
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
asked Nov 26 at 15:28
rotoglup
1012
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I'm trying work out the maths for controlling a 3d camera 'look around' rotation using mouse drag&drop.
I'd like to find a rotation $R$ that allows me to keep the 'dragged' direction beneath the mouse during the drag.
So far, I easily got something working using Calculate Rotation Matrix to align Vector A to Vector B in 3d?.
But I need to find a rotation that does not introduce roll on my camera : given $hat{x'} = R.hat{x}$, the constraint should be $hat{x'}.hat{y_{mathrm{world}}} = hat{x}.hat{y_{mathrm{world}}} = 0$.
How could I find a rotation that has this additional constraint, if it exists ?
rotations
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
asked Nov 26 at 15:28
rotoglup
1012
I'm trying work out the maths for controlling a 3d camera 'look around' rotation using mouse drag&drop.
I'd like to find a rotation $R$ that allows me to keep the 'dragged' direction beneath the mouse during the drag.
So far, I easily got something working using Calculate Rotation Matrix to align Vector A to Vector B in 3d?.
But I need to find a rotation that does not introduce roll on my camera : given $hat{x'} = R.hat{x}$, the constraint should be $hat{x'}.hat{y_{mathrm{world}}} = hat{x}.hat{y_{mathrm{world}}} = 0$.
How could I find a rotation that has this additional constraint, if it exists ?
rotations
rotations
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
asked Nov 26 at 15:28
rotoglup
1012
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
asked Nov 26 at 15:28
rotoglup
1012
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
edited Nov 26 at 15:38
Davide Giraudo
124k16150258
124k16150258
asked Nov 26 at 15:28
rotoglup
1012
asked Nov 26 at 15:28
rotoglup
1012
asked Nov 26 at 15:28
rotoglup
1012
1012
add a comment |
add a comment |
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