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Aligning to quaternions in different coordinate frames


3 axis gimbal controller and quaternionsCan different quaternions represent the same orientation?Quaternions and rotationRotation about z axis using quaternionsGetting Tait-Bryan Angles from Quaternion for a Non-Standard, Left-Handed Coordinate SystemQuaternions in Tangible Form being UsedFinding angles from an IMU (Quaternions to Eulers)'Zeroing' a rotation, Quaternion inversionQuaternions statistics from IMUHow to linearize Quaternions?













0












$begingroup$


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?










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  • $begingroup$
    Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
    $endgroup$
    – Paras Khosla
    23 hours ago
















0












$begingroup$


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?










share|cite|improve this question









New contributor




ej96m is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
    $endgroup$
    – Paras Khosla
    23 hours ago














0












0








0





$begingroup$


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?










share|cite|improve this question









New contributor




ej96m is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




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






share|cite|improve this question









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ej96m is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




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ej96m is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






ej96m is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • $begingroup$
    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




$begingroup$
Kindly use MathJax: meta.math.stackexchange.com/questions/5020/…
$endgroup$
– Paras Khosla
23 hours ago










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