Euler angle in two given coordinates Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Updating a quaternion orientation by a vector of euler anglesGetting cumulative Euler angle from a single QuaternionHow can I convert an axis-angle representation to a Euler angle representationReaching a point B in Cartesian coordinate via Euler angles knows its initial point A Euler angles and Cartesian coordinatesRange of angle in axis-angle representation of rotationsWhy 90 degree rotation form a special case in Euler angle representation of rotationHow are the equations for Euler angles derived from a given rotation matrix?Converting from Euler angles to axis-angle and backHow to understand the convention of Euler angle?How to randomly draw Quaternions within a specific range of Euler angles for rotation?

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Euler angle in two given coordinates



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Updating a quaternion orientation by a vector of euler anglesGetting cumulative Euler angle from a single QuaternionHow can I convert an axis-angle representation to a Euler angle representationReaching a point B in Cartesian coordinate via Euler angles knows its initial point A Euler angles and Cartesian coordinatesRange of angle in axis-angle representation of rotationsWhy 90 degree rotation form a special case in Euler angle representation of rotationHow are the equations for Euler angles derived from a given rotation matrix?Converting from Euler angles to axis-angle and backHow to understand the convention of Euler angle?How to randomly draw Quaternions within a specific range of Euler angles for rotation?










0












$begingroup$


I have two coordinates. One is standard and the other is arbitrary.



A rotation is represented as ZYX in the standard coordinates. (yes, It is not exactly a Euler angle. I'm sorry about this) and alpha, beta, gamma are angles of each corresponding axis.



If arbitrary coordinates are given and each basis are known, Can I calculate each angle of new basis?



I'm not a good hand-writer but I added an image for explanation.
Thank you for your help



enter image description here










share|cite|improve this question









$endgroup$











  • $begingroup$
    Are you familiar with rotation matrices?
    $endgroup$
    – Brian
    Apr 1 at 14:46










  • $begingroup$
    @Brian I'm not a total stranger to that but I'm not sure. At least I can try, If you explain.
    $endgroup$
    – cliwo
    Apr 2 at 1:06















0












$begingroup$


I have two coordinates. One is standard and the other is arbitrary.



A rotation is represented as ZYX in the standard coordinates. (yes, It is not exactly a Euler angle. I'm sorry about this) and alpha, beta, gamma are angles of each corresponding axis.



If arbitrary coordinates are given and each basis are known, Can I calculate each angle of new basis?



I'm not a good hand-writer but I added an image for explanation.
Thank you for your help



enter image description here










share|cite|improve this question









$endgroup$











  • $begingroup$
    Are you familiar with rotation matrices?
    $endgroup$
    – Brian
    Apr 1 at 14:46










  • $begingroup$
    @Brian I'm not a total stranger to that but I'm not sure. At least I can try, If you explain.
    $endgroup$
    – cliwo
    Apr 2 at 1:06













0












0








0





$begingroup$


I have two coordinates. One is standard and the other is arbitrary.



A rotation is represented as ZYX in the standard coordinates. (yes, It is not exactly a Euler angle. I'm sorry about this) and alpha, beta, gamma are angles of each corresponding axis.



If arbitrary coordinates are given and each basis are known, Can I calculate each angle of new basis?



I'm not a good hand-writer but I added an image for explanation.
Thank you for your help



enter image description here










share|cite|improve this question









$endgroup$




I have two coordinates. One is standard and the other is arbitrary.



A rotation is represented as ZYX in the standard coordinates. (yes, It is not exactly a Euler angle. I'm sorry about this) and alpha, beta, gamma are angles of each corresponding axis.



If arbitrary coordinates are given and each basis are known, Can I calculate each angle of new basis?



I'm not a good hand-writer but I added an image for explanation.
Thank you for your help



enter image description here







rotations quaternions






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Apr 1 at 14:29









cliwocliwo

101




101











  • $begingroup$
    Are you familiar with rotation matrices?
    $endgroup$
    – Brian
    Apr 1 at 14:46










  • $begingroup$
    @Brian I'm not a total stranger to that but I'm not sure. At least I can try, If you explain.
    $endgroup$
    – cliwo
    Apr 2 at 1:06
















  • $begingroup$
    Are you familiar with rotation matrices?
    $endgroup$
    – Brian
    Apr 1 at 14:46










  • $begingroup$
    @Brian I'm not a total stranger to that but I'm not sure. At least I can try, If you explain.
    $endgroup$
    – cliwo
    Apr 2 at 1:06















$begingroup$
Are you familiar with rotation matrices?
$endgroup$
– Brian
Apr 1 at 14:46




$begingroup$
Are you familiar with rotation matrices?
$endgroup$
– Brian
Apr 1 at 14:46












$begingroup$
@Brian I'm not a total stranger to that but I'm not sure. At least I can try, If you explain.
$endgroup$
– cliwo
Apr 2 at 1:06




$begingroup$
@Brian I'm not a total stranger to that but I'm not sure. At least I can try, If you explain.
$endgroup$
– cliwo
Apr 2 at 1:06










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