Questions tagged [rotation]
The rotation tag has no usage guidance.
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3answers
30 views
Forward Kinematics with matrices
From the image, I would like to find out how joint 1, 2 and 3 can be computed by using forward kinematics? (Assuming a theta value was given)
I understand that to get point 3 to origin (...
3
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1answer
42 views
Using pre multiply or post multipy for rotational matrix to get a new homogenous transformation matrix?
I am confused about how do I multiply the rotational matrix in this case.
I know that both T1 and T2 needs to be multiplied by a rotational matrix but I don't know how to multiply the rotational ...
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2answers
26 views
Why Euler Angle is set to be in ZYZ order?
We have 3 DOF for rotation in 3D space. So to describe an arbitrary rotation, we need to describe its 3 DOF. Euler angle does this by dividing a rotation in 3 steps, first rotate along the Z axis of ...
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1answer
73 views
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0answers
46 views
Equivalence of Alias and Alibi interpretation of Rotation Matrices [closed]
Let's consider two right handed frames $\mathcal R_A$, with coordinate axes $i_A$, $j_A$ and $k_A$ and $\mathcal R_B$, with coordinate axes $i_B$, $j_B$ and $k_B$. Defining the rotation matrix $R^A_B$ ...
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0answers
21 views
API/ Library for re-orienting 360 degree camera frame efficiently
I have a camera that produces a 360 degree image output. This camera has an IMU unit integrated with it. I have written a C++ Extended Kalman Filter algorithm to estimate roll, pitch and yaw of the ...
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0answers
114 views
Degrees of Freedom in Affine Transformation and Homogeneous Transformation
I understand that a 2D Affine Transformation has 6 DOF and a 2D Homogeneous Transformation has 8 DOF. However, how can I identify what those independent paramters are?
If we consider Euclidean ...
2
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3answers
108 views
A closed-form solution of $\textbf{R}\textbf{R}_1=\textbf{R}_2\textbf{R}$ w.r.t $\textbf{R}$
Is there a closed-form solution of $\textbf{R}\textbf{R}_1=\textbf{R}_2\textbf{R}$ with respect to $\textbf{R}\in SO(3)$?
$\textbf{R}_1$, $\textbf{R}_2 \in SO(3)$ are given.
Added:
I tried holmeski'...
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1answer
54 views
SE3 composition operator gives unexpected results
Given Data and Algorithm
I have a stream of SE3 poses supplied by a basic wheel encoder odometry through ROS message passing system. Odometry publishes data in traditional to ROS ENU coordinate frame ...
0
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1answer
36 views
Angular velocity vector expression uncertain?
I have this problem of an excavator from a test I took a while ago.
Frame $\underline{\vec{e}}^0$ is the origin.
Frame $\underline{\vec{e}}^1$ rotates around $\underline{\vec{e}}_{3}^0$ with angle $\...
-1
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2answers
41 views
Nested Rotation of a point around arbitrary vector in 3D
I have a point (x,y,z) in the 3D space. This point rotates by theta1 about the arbitrary axis ax1. This axis (ax1) rotates by theta2 about another axis ax2. What will be the new coordinates of the ...
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1answer
104 views
Solving Inverse Kinematics with unknown orientation
This may be a very basic question, but I haven't had much success finding an answer. I'm currently trying to solve the inverse kinematics of a 3-RRR Planar kinematic arm, whose purpose is to move ...
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1answer
147 views
Rotation composition When using Kalman Filter
I am implementing a Kalman Filter for the following situation.
I have a camera set in a room that can detect the position and orientation of a marker (ARUCO) in the room.
Therefore I have the ...
1
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1answer
394 views
How to rotate a rotation quaternion in the body frame to a rotation quaternion in the world frame?
I have a sensor (3 axis gyroscope) which can rotate and measure angular velocity in 3 dimensions (aligned with the sensor).
I know what its current orientation is with respect to the world frame. Call ...
2
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2answers
73 views
Explanation for exponential coordinate of rotation
From figure above, suppose a three-dimensional vector $p(0)$ is rotated by an angle $\theta$ about the fixed rotation axis $\omega$ to $p(\theta)$. Here we assume all quantities are expressed fixed ...
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1answer
26 views
router tilting mechanism
I am trying to design a very rigid tilting mechanism for my router. For this purpose I had a look at table saws, which seem to be supported by 2 mechanisms, one in front, one at the back, called "...
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2answers
81 views
How to reduce the small free rotation/movement of a stepper motor shaft?
I was successful in running a 28BYj-48 stepper motor with 4096 steps per revolution. I am happy with the result. But there is a free movement of the motor shaft itself - you can move the motor shaft ...
1
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1answer
58 views
integrating perfect rate gyro data (noiseless)
Having a perfect gyro (with no noise/drift or bias), the gyro produces angular velocities in the form (wx, wy, wz) in rad/sec.
I would like to convert the rate gyro readings (which are expressed in ...
1
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1answer
44 views
Ignoring yaw for pick and place
I get an object pose from the camera in quaternion. Since these are tetrahedron shaped objects, the robot needs to align the vacuum gripper to one of the sides of the object. But the yaw (rotation ...
0
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1answer
483 views
forward and inverse kinematics of arm
I'm trying to figure out to a problem with a planar manipulator.
The manipulator has a base effector and L1 and L2 with 3 joints.
Question: INVERSE KINEMATICS
Given the ...
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1answer
234 views
Orocos KDL issue with Rotation (matrix) - Inverse Kinematics
I have a problem with the Orocos IK solver, especially with the KDL::Rotation matrix input.
I try to call my KDL IK solver with a normal vector and a rotation. If I use the example values for the ...
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1answer
66 views
Convert Twist from frame B to frame A [closed]
(full disclosure: this is homework)
I have a twist expressed in frame B:
$\zeta_b = \begin{bmatrix}1\\3\\-2\\0\\-2\\4\end{bmatrix}$
And a general transformation matrix:
$g_{ab} = \begin{bmatrix}-0....
0
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1answer
52 views
Calculate Transformation between two point sets - but with constrained Degrees of Freedom
How can I calculate the rigid-body transformation [R|t] between two 3d triangles, but restricted to a given N degrees of freedom (for N = 1..6) ?
I know for N=6 I can get a least-squares solution via ...
0
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1answer
571 views
Problem with angle calculation
I'm using MPU6050(accelerometer+gyro) connected to ATmega328P microcontroller, but probably it isn't even important in my case.
In my project, I need an angle around the X axis. And it's calculated ...
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2answers
143 views
Dealing with fixed transformations while solving inverse kinematics
I am trying to solve inverse kinematics (using the Jacobian pseudoinverse method) for a 7 DoF arm, but because of the way the robot is mounted, the base frame does not coincide with the frame of the ...
2
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2answers
2k views
What is the torque/force required to rotate the base of a robot arm?
Take a look at the following simple example robot arm:
I want to know the torque required on that bottom motor to rotate the arm. Since it's not exactly rotating directly against gravity like the ...
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1answer
301 views
How to construct rotary turn table (S/J1 axis) from ball bearing? [closed]
For my robotics arm project I have recently come across the following ball bearing at low discount price which I think could make a great rotary table for my arm.
However it does not seem to have any ...
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2answers
2k views
Rotation matrix sign convention confusion.
In rotation matrix, Why do we rotate the first and third rotation in the opposite direction of the 2nd rotation, this is confusing.
Image is attached with this.
In this image we can note that for x ...
2
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5answers
758 views
Shield IMU from magnetic interferences
I experienced some drifting when coming near to magnetic fields with my IMU, so I wondered if it is possible to completely shield the IMU from external influences. Would this be theoretically possible ...
0
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1answer
118 views
Rotate 3d vector value into a single axis using a rotation quaternion
I want to rotate the whole value of a 3d vector into one axis using quaternion rotations.
The reason behind is that I want to align the X and Y Axis of my smartphone with the X and Y Axis of my ...
5
votes
3answers
1k views
Generate transformation matrices for rotating around a object?
How do i compute all transformation matrices which places a robot endeffector at the shell of this sphere, with the end effector pointing toward the object in the center.
I know at all time how far ...
3
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3answers
909 views
Most accurate rotation representation for small angles
Assume that I have a rigid body for which I know that it can rotate with respect to a global reference frame (which is considered fixed and already given) for only a few degrees of angle, so I can ...
0
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1answer
160 views
Hand-eye calibration?
I am having an issue with some hand-eye calibration.
So i am using a simple robot which at its tool point has an stereo camera mounted on it.
I want to perform some visual serving/tracking based ...
2
votes
2answers
551 views
Mechanical odometer with digital output
I would like to mechanically measure the distance a kids electric ATV traveled. The ATV will not be used with kids but as a mobile robot instead. It has a common rear axle for both rear wheels which I ...
