Mixing
Finding quaternion $q_x$ in the following equation: $q_x q_1 q_x' = q_2$
0
$begingroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27171933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
$endgroup$
add a comment |
0
$begingroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27171933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
$endgroup$
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
add a comment |
0
0
0
0
$begingroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27171933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
$endgroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27171933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
edited Jan 25 at 21:39
Adrian Keister
5,27171933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
edited Jan 25 at 21:39
Adrian Keister
5,27171933
edited Jan 25 at 21:39
Adrian Keister
5,27171933
edited Jan 25 at 21:39
Adrian Keister
5,27171933
5,27171933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
163
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
add a comment |
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
1
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
add a comment |
0
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1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50