Questions tagged [rotation]
The rotation tag has no usage guidance.
44
questions
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 ...
4
votes
1answer
86 views
Adjusting the PWM frequency and duty cycle to achieve the desired angular velocity in differential drive robots
I am practicing C++ and intro to robotics using a simple differential drive robot and a raspberry pi. Also following along the GA Tech course on control of mobile robotics.
The implementation I am ...
4
votes
2answers
34 views
How to calculate heading more accurately using dead wheels?
I am trying to figure out a more accurate way to calculate the change in the heading of a robot. I have two small omni wheels on either side of the robot facing forward and one on the right side ...
3
votes
1answer
449 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 ...
2
votes
3answers
4k 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
votes
4answers
605 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 ...
2
votes
3answers
120 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'...
2
votes
2answers
126 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 ...
2
votes
2answers
183 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
votes
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 ...
2
votes
5answers
1k 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 ...
2
votes
4answers
992 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 ...
2
votes
1answer
1k 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
votes
2answers
657 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 ...
2
votes
0answers
15 views
Undo pitching effect of camera when pose (y-axis) is near 90 degrees?
I am using KITTI odometry dataset whereby the camera's axis is pointing X (east), Y (down) and Z (north). It also contain the frame to frame poses of the camera (first pose is fixed as the map frame). ...
2
votes
2answers
281 views
Finding correct RPY for approaching a known point on a plane
I have a robot with 6 DOF that I want to use to grab a hanging sheet at a specific point near its edge. The grip needs to be perpendicular to the edge and co-planar with the point of course.
I have ...
2
votes
0answers
73 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 $R^A_B$ ...
1
vote
3answers
127 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 (...
1
vote
1answer
392 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 ...
1
vote
1answer
24 views
Observed position update after motion of the robot
The equation (14) in this paper,
$$
P_{Cj}=RP_{Pj}+T+e_j
$$
where $P_{Cj}$ and $P_{Pj}$ are the observed positions of feature $j$ prior to and after the current robot motion, $R$(otation) and $T$(...
1
vote
1answer
324 views
1
vote
1answer
84 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 ...
1
vote
1answer
68 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
vote
1answer
51 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 ...
1
vote
1answer
425 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 ...
1
vote
0answers
43 views
How to get RPY(Roll, Pitch, Yaw) from directional cosines from a single vector?
I'm trying to find the pose of an 3D vector in terms of RPY. Let's say the two end points of the vector is P0(x0, y0, z0) and P1(x1, y1, z1). So the centered vector I get is V(Vx, Vy, Vz) = P1 - P0 = (...
0
votes
1answer
139 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
votes
1answer
175 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 ...
0
votes
2answers
298 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 ...
0
votes
1answer
815 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 ...
0
votes
1answer
18 views
How should I create a Pangolin (Armadillo) structure?
I am new to this forum. I want to create a mechanical structure as depicted in the image A pangolin bag. And further wouls like to automate the closing and opening of the bag. But I am facing issues ...
0
votes
1answer
190 views
How can I attach an arm to a double-flat drive stepper motor?
This is my first robotics experience, outside of one class 10 years ago. I've been Googling this question for about an hour but I can't find an answer!
I'm using a ROHS Step Motor 28BYJ-48 (with an ...
0
votes
1answer
41 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 $\...
0
votes
1answer
53 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
votes
1answer
856 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 ...
0
votes
1answer
214 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 ...
0
votes
1answer
37 views
Rotating NED to ENU
I have an IMU in NED of which I need to rotate to ENU to conform with ROS. I know its a roll of pi and a yaw of pi/2 but what ...
0
votes
1answer
30 views
Does Vehicle Yaw angle measures same at every point on it? If not, how to translate yaw rotation to COG of the vehicle from different point?
I am using an IMU to measure the yaw rotation angle of a car. I need to translate the rotation measured to COG of the vehicle. I can ignore roll and pitch as I am driving it on a flat surface. So, ...
0
votes
1answer
85 views
What are wheel ticks and wheel impulses?
I'm tracking the position of a vehicle along a certain trajectory using the Kalman filter and we have odometry data provided to us which gives the x-position of the vehicle, y-position of the vehicle ...
0
votes
1answer
40 views
Rotation at SerialLink.teach Robotic Toolbox
Im using robotic toolbox to simulate my robot, but i always confused when i see the value of rpy. It always different if i compare with tr2rpy and tr2eul. What kind of rotation used in SerialLink....
0
votes
1answer
224 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 ...
0
votes
1answer
27 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 "...
0
votes
1answer
131 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 ...
-1
votes
2answers
65 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 ...
