How to move a point [x, y, z] in 3D space around a center [0,0,0], using quaternion readings from a sensor? The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)quaternion representation of the rotation of a sphere into plane displacementRotation plane on the sphere (quarternion)Rotating a point in space about another via quaternionHow to calculate the quaternion from/and axis angle having parent and target position (camera and its target)?Finding 2 vectors in a circle in 3D spaceHow to understand rotation around a point VS rotation of axes?Calculating a rotation quaternion from two vectors then applying the rotation to a pointConvert quaternion to spherical coordinatesPoint in Coordinate System A, how to find its location in Coordinate System B?Finding the Quaternion that rotates a coordinate system to match another.

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How to move a point [x, y, z] in 3D space around a center [0,0,0], using quaternion readings from a sensor?



The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)quaternion representation of the rotation of a sphere into plane displacementRotation plane on the sphere (quarternion)Rotating a point in space about another via quaternionHow to calculate the quaternion from/and axis angle having parent and target position (camera and its target)?Finding 2 vectors in a circle in 3D spaceHow to understand rotation around a point VS rotation of axes?Calculating a rotation quaternion from two vectors then applying the rotation to a pointConvert quaternion to spherical coordinatesPoint in Coordinate System A, how to find its location in Coordinate System B?Finding the Quaternion that rotates a coordinate system to match another.










0












$begingroup$


I've been browsing the web for far too long, and still can't find a solution to this issue for my student project. Mind you my math skills are not that great, so I'm desperate for any help I can get! Most links I've visited or seen in forum posts has lead me to articles about Quaternion math solutions, which even though it is said to be simple, the articles are too advanced for my skills and it is really hard to get a sense (in 3D) of what is going on in. I've also tried using Euler Angles to do the calculations, but have run into issues with Gimble Lock, as the sensor I'm using needs to rotate freely, and sometimes upside down or in a 90 degree angle.



My problem:
I receive quaternion readings from a sensor hooked up to an Arduino. These readings come in the form [w, x, y, z] and change as I rotate the sensor around freely.



An example of these readings are: [0.93, 0.23, 0.21, -0.23]



I have an imaginary point floating in 3D, with coordinates [x, y z]. Let's use [1, 0, 0] as an example. The task is now to rotate this point around the center of the coordinate system using the quaternion readings from the sensor and hopefully to calculate the new updated xyz coordinates for the point.



I actually have 10 points I need to update their position based on the quaternion readings, but if I just learn how to move one point, I can repeat the calculations for the rest)



The coordinate system I'm using is this:
Coordinate system of the sensor



The sensor is quite stable delivering several readings per second, which only change when I rotate the sensor. Placing the sensor horizontally on a table gives the readings [1.00, 0.01, -0.01, 0.00]



Maybe it makes sense to imagine a sphere with a radius of 1 in the center of a coordinate system. The point are all located on the surface of this sphere, thereby always having the distance 1 to the coordinate systems origin. The quaternion readings from the sensor then rotates the sphere and thereby the points on its surface, and I need to update the position of these points.



My math skills are not very good, and (if possible) explaining the calculations in java/javascript or Arduino(C++) would be a lot of help.



Thank you!










share|cite|improve this question







New contributor




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







$endgroup$











  • $begingroup$
    I've tried to follow this guide, but am still quite confused: youtube.com/watch?v=PsBx8Kkhc5Y
    $endgroup$
    – Brodersen
    Apr 8 at 14:15















0












$begingroup$


I've been browsing the web for far too long, and still can't find a solution to this issue for my student project. Mind you my math skills are not that great, so I'm desperate for any help I can get! Most links I've visited or seen in forum posts has lead me to articles about Quaternion math solutions, which even though it is said to be simple, the articles are too advanced for my skills and it is really hard to get a sense (in 3D) of what is going on in. I've also tried using Euler Angles to do the calculations, but have run into issues with Gimble Lock, as the sensor I'm using needs to rotate freely, and sometimes upside down or in a 90 degree angle.



My problem:
I receive quaternion readings from a sensor hooked up to an Arduino. These readings come in the form [w, x, y, z] and change as I rotate the sensor around freely.



An example of these readings are: [0.93, 0.23, 0.21, -0.23]



I have an imaginary point floating in 3D, with coordinates [x, y z]. Let's use [1, 0, 0] as an example. The task is now to rotate this point around the center of the coordinate system using the quaternion readings from the sensor and hopefully to calculate the new updated xyz coordinates for the point.



I actually have 10 points I need to update their position based on the quaternion readings, but if I just learn how to move one point, I can repeat the calculations for the rest)



The coordinate system I'm using is this:
Coordinate system of the sensor



The sensor is quite stable delivering several readings per second, which only change when I rotate the sensor. Placing the sensor horizontally on a table gives the readings [1.00, 0.01, -0.01, 0.00]



Maybe it makes sense to imagine a sphere with a radius of 1 in the center of a coordinate system. The point are all located on the surface of this sphere, thereby always having the distance 1 to the coordinate systems origin. The quaternion readings from the sensor then rotates the sphere and thereby the points on its surface, and I need to update the position of these points.



My math skills are not very good, and (if possible) explaining the calculations in java/javascript or Arduino(C++) would be a lot of help.



Thank you!










share|cite|improve this question







New contributor




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







$endgroup$











  • $begingroup$
    I've tried to follow this guide, but am still quite confused: youtube.com/watch?v=PsBx8Kkhc5Y
    $endgroup$
    – Brodersen
    Apr 8 at 14:15













0












0








0


1



$begingroup$


I've been browsing the web for far too long, and still can't find a solution to this issue for my student project. Mind you my math skills are not that great, so I'm desperate for any help I can get! Most links I've visited or seen in forum posts has lead me to articles about Quaternion math solutions, which even though it is said to be simple, the articles are too advanced for my skills and it is really hard to get a sense (in 3D) of what is going on in. I've also tried using Euler Angles to do the calculations, but have run into issues with Gimble Lock, as the sensor I'm using needs to rotate freely, and sometimes upside down or in a 90 degree angle.



My problem:
I receive quaternion readings from a sensor hooked up to an Arduino. These readings come in the form [w, x, y, z] and change as I rotate the sensor around freely.



An example of these readings are: [0.93, 0.23, 0.21, -0.23]



I have an imaginary point floating in 3D, with coordinates [x, y z]. Let's use [1, 0, 0] as an example. The task is now to rotate this point around the center of the coordinate system using the quaternion readings from the sensor and hopefully to calculate the new updated xyz coordinates for the point.



I actually have 10 points I need to update their position based on the quaternion readings, but if I just learn how to move one point, I can repeat the calculations for the rest)



The coordinate system I'm using is this:
Coordinate system of the sensor



The sensor is quite stable delivering several readings per second, which only change when I rotate the sensor. Placing the sensor horizontally on a table gives the readings [1.00, 0.01, -0.01, 0.00]



Maybe it makes sense to imagine a sphere with a radius of 1 in the center of a coordinate system. The point are all located on the surface of this sphere, thereby always having the distance 1 to the coordinate systems origin. The quaternion readings from the sensor then rotates the sphere and thereby the points on its surface, and I need to update the position of these points.



My math skills are not very good, and (if possible) explaining the calculations in java/javascript or Arduino(C++) would be a lot of help.



Thank you!










share|cite|improve this question







New contributor




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







$endgroup$




I've been browsing the web for far too long, and still can't find a solution to this issue for my student project. Mind you my math skills are not that great, so I'm desperate for any help I can get! Most links I've visited or seen in forum posts has lead me to articles about Quaternion math solutions, which even though it is said to be simple, the articles are too advanced for my skills and it is really hard to get a sense (in 3D) of what is going on in. I've also tried using Euler Angles to do the calculations, but have run into issues with Gimble Lock, as the sensor I'm using needs to rotate freely, and sometimes upside down or in a 90 degree angle.



My problem:
I receive quaternion readings from a sensor hooked up to an Arduino. These readings come in the form [w, x, y, z] and change as I rotate the sensor around freely.



An example of these readings are: [0.93, 0.23, 0.21, -0.23]



I have an imaginary point floating in 3D, with coordinates [x, y z]. Let's use [1, 0, 0] as an example. The task is now to rotate this point around the center of the coordinate system using the quaternion readings from the sensor and hopefully to calculate the new updated xyz coordinates for the point.



I actually have 10 points I need to update their position based on the quaternion readings, but if I just learn how to move one point, I can repeat the calculations for the rest)



The coordinate system I'm using is this:
Coordinate system of the sensor



The sensor is quite stable delivering several readings per second, which only change when I rotate the sensor. Placing the sensor horizontally on a table gives the readings [1.00, 0.01, -0.01, 0.00]



Maybe it makes sense to imagine a sphere with a radius of 1 in the center of a coordinate system. The point are all located on the surface of this sphere, thereby always having the distance 1 to the coordinate systems origin. The quaternion readings from the sensor then rotates the sphere and thereby the points on its surface, and I need to update the position of these points.



My math skills are not very good, and (if possible) explaining the calculations in java/javascript or Arduino(C++) would be a lot of help.



Thank you!







3d quaternions






share|cite|improve this question







New contributor




Brodersen 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




Brodersen 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




share|cite|improve this question






New contributor




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









asked Apr 8 at 13:58









BrodersenBrodersen

1




1




New contributor




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





New contributor





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






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











  • $begingroup$
    I've tried to follow this guide, but am still quite confused: youtube.com/watch?v=PsBx8Kkhc5Y
    $endgroup$
    – Brodersen
    Apr 8 at 14:15
















  • $begingroup$
    I've tried to follow this guide, but am still quite confused: youtube.com/watch?v=PsBx8Kkhc5Y
    $endgroup$
    – Brodersen
    Apr 8 at 14:15















$begingroup$
I've tried to follow this guide, but am still quite confused: youtube.com/watch?v=PsBx8Kkhc5Y
$endgroup$
– Brodersen
Apr 8 at 14:15




$begingroup$
I've tried to follow this guide, but am still quite confused: youtube.com/watch?v=PsBx8Kkhc5Y
$endgroup$
– Brodersen
Apr 8 at 14:15










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