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Aligning to quaternions in different coordinate frames
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$begingroup$
I am trying to compute the rotation quaternion between two quaternions called, q_IMU and q_VZ.
I am computing the rotating quaternion by the method seen in the first equation at a maxima for both quaternions (so they are aligned)
$^{S}_{E}q_{est,IMU} = q_{E} otimes ^{C}_{M}q_{est,VZ}$
Then I want to align the other measurements of q_VZ onto the reference plane for the IMU via:
$q_{E} = ^{S}_{E}q_{est,IMU} otimes {^{C}_{M}q^{-1}_{est,VZ}}$
This works for one of my measurements but not for this one I've added pictures. q_IMU, q_VZ before rot, q_VZ after rot
Can somebody explain why they are not aligned using this method, because I don't understand?
quaternions
New contributor
$endgroup$
add a comment |
$begingroup$
I am trying to compute the rotation quaternion between two quaternions called, q_IMU and q_VZ.
I am computing the rotating quaternion by the method seen in the first equation at a maxima for both quaternions (so they are aligned)
$^{S}_{E}q_{est,IMU} = q_{E} otimes ^{C}_{M}q_{est,VZ}$
Then I want to align the other measurements of q_VZ onto the reference plane for the IMU via:
$q_{E} = ^{S}_{E}q_{est,IMU} otimes {^{C}_{M}q^{-1}_{est,VZ}}$
This works for one of my measurements but not for this one I've added pictures. q_IMU, q_VZ before rot, q_VZ after rot
Can somebody explain why they are not aligned using this method, because I don't understand?
quaternions
New contributor
$endgroup$
$begingroup$
Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
23 hours ago
add a comment |
$begingroup$
I am trying to compute the rotation quaternion between two quaternions called, q_IMU and q_VZ.
I am computing the rotating quaternion by the method seen in the first equation at a maxima for both quaternions (so they are aligned)
$^{S}_{E}q_{est,IMU} = q_{E} otimes ^{C}_{M}q_{est,VZ}$
Then I want to align the other measurements of q_VZ onto the reference plane for the IMU via:
$q_{E} = ^{S}_{E}q_{est,IMU} otimes {^{C}_{M}q^{-1}_{est,VZ}}$
This works for one of my measurements but not for this one I've added pictures. q_IMU, q_VZ before rot, q_VZ after rot
Can somebody explain why they are not aligned using this method, because I don't understand?
quaternions
New contributor
$endgroup$
I am trying to compute the rotation quaternion between two quaternions called, q_IMU and q_VZ.
I am computing the rotating quaternion by the method seen in the first equation at a maxima for both quaternions (so they are aligned)
$^{S}_{E}q_{est,IMU} = q_{E} otimes ^{C}_{M}q_{est,VZ}$
Then I want to align the other measurements of q_VZ onto the reference plane for the IMU via:
$q_{E} = ^{S}_{E}q_{est,IMU} otimes {^{C}_{M}q^{-1}_{est,VZ}}$
This works for one of my measurements but not for this one I've added pictures. q_IMU, q_VZ before rot, q_VZ after rot
Can somebody explain why they are not aligned using this method, because I don't understand?
quaternions
quaternions
New contributor
New contributor
edited 1 hour ago
ej96m
New contributor
asked 23 hours ago
ej96mej96m
12
12
New contributor
New contributor
$begingroup$
Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
23 hours ago
add a comment |
$begingroup$
Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
23 hours ago
$begingroup$
Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
23 hours ago
$begingroup$
Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
23 hours ago
add a comment |
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Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
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– Paras Khosla
23 hours ago