Determination of angle of deviation and rotation of the vector
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I'm sorry for my drawing skills and mistakes in grammar.
I'm trying to solve next task:
Phone is somehow fixed in a phoneholder in a car. As it is displayed on picture. Purple - car coordinate system, red - phone's one.
X - perpendicular to the movement and parallel to the ground
Y - parallel to the movement and to the ground
Z - perpendicular to the ground
During the calibration phase I can assume, that all measured acceleration belongs to single axis - Y. So I have two vectors:
Measured acceleration (ma) - [x, y, z]
Expected acceleration (ea) - [0, |ma|, 0]
How can I calculate rotation matrix, angles or something else I don't know about, to transform measured (phone) acceleration to expected (car)?
linear-algebra linear-transformations
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add a comment |
$begingroup$
I'm sorry for my drawing skills and mistakes in grammar.
I'm trying to solve next task:
Phone is somehow fixed in a phoneholder in a car. As it is displayed on picture. Purple - car coordinate system, red - phone's one.
X - perpendicular to the movement and parallel to the ground
Y - parallel to the movement and to the ground
Z - perpendicular to the ground
During the calibration phase I can assume, that all measured acceleration belongs to single axis - Y. So I have two vectors:
Measured acceleration (ma) - [x, y, z]
Expected acceleration (ea) - [0, |ma|, 0]
How can I calculate rotation matrix, angles or something else I don't know about, to transform measured (phone) acceleration to expected (car)?
linear-algebra linear-transformations
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$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
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– José Carlos Santos
Dec 3 '18 at 10:04
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You have enough information to determine the true $Y$-axis direction, but not enough to determine which way is “up.”
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– amd
Dec 4 '18 at 3:42
add a comment |
$begingroup$
I'm sorry for my drawing skills and mistakes in grammar.
I'm trying to solve next task:
Phone is somehow fixed in a phoneholder in a car. As it is displayed on picture. Purple - car coordinate system, red - phone's one.
X - perpendicular to the movement and parallel to the ground
Y - parallel to the movement and to the ground
Z - perpendicular to the ground
During the calibration phase I can assume, that all measured acceleration belongs to single axis - Y. So I have two vectors:
Measured acceleration (ma) - [x, y, z]
Expected acceleration (ea) - [0, |ma|, 0]
How can I calculate rotation matrix, angles or something else I don't know about, to transform measured (phone) acceleration to expected (car)?
linear-algebra linear-transformations
$endgroup$
I'm sorry for my drawing skills and mistakes in grammar.
I'm trying to solve next task:
Phone is somehow fixed in a phoneholder in a car. As it is displayed on picture. Purple - car coordinate system, red - phone's one.
X - perpendicular to the movement and parallel to the ground
Y - parallel to the movement and to the ground
Z - perpendicular to the ground
During the calibration phase I can assume, that all measured acceleration belongs to single axis - Y. So I have two vectors:
Measured acceleration (ma) - [x, y, z]
Expected acceleration (ea) - [0, |ma|, 0]
How can I calculate rotation matrix, angles or something else I don't know about, to transform measured (phone) acceleration to expected (car)?
linear-algebra linear-transformations
linear-algebra linear-transformations
edited Dec 3 '18 at 10:11
Zwei
asked Dec 3 '18 at 9:55
ZweiZwei
1011
1011
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Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Dec 3 '18 at 10:04
$begingroup$
You have enough information to determine the true $Y$-axis direction, but not enough to determine which way is “up.”
$endgroup$
– amd
Dec 4 '18 at 3:42
add a comment |
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Dec 3 '18 at 10:04
$begingroup$
You have enough information to determine the true $Y$-axis direction, but not enough to determine which way is “up.”
$endgroup$
– amd
Dec 4 '18 at 3:42
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Dec 3 '18 at 10:04
$begingroup$
Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
$endgroup$
– José Carlos Santos
Dec 3 '18 at 10:04
$begingroup$
You have enough information to determine the true $Y$-axis direction, but not enough to determine which way is “up.”
$endgroup$
– amd
Dec 4 '18 at 3:42
$begingroup$
You have enough information to determine the true $Y$-axis direction, but not enough to determine which way is “up.”
$endgroup$
– amd
Dec 4 '18 at 3:42
add a comment |
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Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please edit the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers.
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– José Carlos Santos
Dec 3 '18 at 10:04
$begingroup$
You have enough information to determine the true $Y$-axis direction, but not enough to determine which way is “up.”
$endgroup$
– amd
Dec 4 '18 at 3:42