Questions tagged [rotation]
The rotation tag has no usage guidance.
66
questions
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What could cause quaternion error to go up drastically when a gyroscope is rotated on more than one axis at a time?
Alright, I'm working on a small Arduino script that determines orientation using a a gyroscope and a quaternion. My hardware:
LSM9DS1 IMU (Gyroscope, Accelerometer, Magnetometer)
Teensy 4.0
My basic ...
0
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1answer
34 views
Does every rotation vector has an one-to-one corresponding rotation matrix?
Given a rotation vector, can we always get the same corresponding rotation matrix computed by the Rodrigue's rotation formula?
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0answers
29 views
Angular movement of a controlled arm relative to an object via Two IMUs
I've been tasked to use two YEI 3-space sensors (IMUs) to detect the azimuth and elevation (altitude in the image below) angle of a moving arm with respect to a fixed object, with a sensor on the end ...
2
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2answers
53 views
Compute path in absolute frame from sequence of measurements
I have a sequence of measurements $\{(x_i, y_i, \theta_i)\}_{i = 1 \:...\: N}$. Each of these represents the new pose of the robot seen from the previous pose, i.e. a measurement $(x', y', \theta')$ ...
0
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1answer
31 views
Motion model and homogeneous transformation issue on a drone
I am trying to develop a EKF-SLAM algorithm for a drone, and I want to estimate its position in the inertial/world reference frame. I have as control variables the linear and angular velocities in the ...
1
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1answer
105 views
Conveyor Belt Calibration for a Robot - Rotation Matrix
Short Question:
As demonstrated in the image below, how can I calculate the rotation matrix that relates the base coordinate and the rectangle coordinate, given 3 known points P1, P2, P3 on the ...
0
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1answer
34 views
what are shoulder ball and socket joints called? (i am trying to design and build a hydraulic assistance mech suit)
I'm having problems finding the right sort of joint for my shoulder connection. It is a flat surface on the side of the mech body and I need to create a joint with maximum movement rotating: up, down ...
1
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2answers
44 views
Understanding Twists as 3D Velocities
I am just learning about twists to represent 3D velocities (e.g. of a robot's end-effector), and I have two questions:
1) Wikipedia defines a twist as "an angular velocity around an axis and a linear ...
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1answer
68 views
How to calculate rotation angle from 3D points
I have 4 3d points(x, y, z). Using these points how can I calculate rotation angle? Consequently, I want to have a 4x4 transformation matrix including rotation and translation information.
4 points ...
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0answers
34 views
Rotate coordinate frame using 2-axis inclinometer angles
How to rotate coordinate frame (transform point or vector coordinates) using angles from 2-axis inclination sensor if both X and Y angles are non-zero?
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1answer
29 views
Doubt about axis\angle representation
I am trying to understand the axis/angle representation.
So far, I have understood that the main idea is that every rotation can be represented as a rotation around an arbitrary axis of an angle $\...
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0answers
23 views
2-axis inclinometer angles to quaterion angles
How to derive quaterion angles (3 angles of the rotation vector with respect to the inertial coordinate frame and the rotation angle around that vector) knowing X and Y angles from a 2-axis ...
1
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1answer
52 views
Reset coordinate system of robot while maintaining relationship to the previous
I am currently estimating a robot's pose (3d position and rotation matrix) with an IMU and I want to reset the localizer in the middle of the run while keeping the relationship to the pose it had when ...
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0answers
20 views
Convert point coordinates from inclined to inertial coordinate system using inclinometer angles
I have a point (red dot) coordinates given as [vector magnitude, azimuth angle (blue), elevation angle (yellow)] in the inclined local system X'Y'Z', which must be converted into coordinates [x, y, z] ...
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1answer
93 views
What is my last rotation matrix for the last three angles when i have found the first three when doing inverse kinematics to a 6dof robot?
I am doing inverse kinematics for a 6dof robot.
I have used the geometrical method to describe the angles from one to three. I have trouble doing the next part. I know I that I have found the ...
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1answer
30 views
Finding quaternion Q, where Y = q * X * q.inv()
Problem
Quaternions $X$, $Y$, which represents 3-dimensional points are given.
Quaternion $q$ is what is to be solved.
I want to know unknown rotation between $X$ and $Y$.
In other words, I want to ...
0
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0answers
51 views
What's the result of multiplying a rotation matrix having only Ļ components by another which has (āĻ,Īø,āĻ) components?
Given the following rotation matrix:
$
R(Ļ, Īø, Ļ) = \left( \begin{smallmatrix}
cos(Īø)*cos(Ļ) & -sin(Ļ)*sin(Īø)*cos(Ļ)-cos(Ļ)*sin(Ļ) & -cos(Ļ)*sin(Īø)*cos(Ļ)+sin(Ļ)*sin(Ļ) \\
...
1
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1answer
61 views
Solving for rotation matrix: Aligning vector a with vector b and then rotating around vector b
Currently working on a quadcopter simulation. I have a desired thrust vector,
t =sin(30)cos(45)a1+sin(30)sin(45)a2+cos(30)a3
and desired yaw angle,
...
3
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2answers
74 views
How to compute the orientation error between two 3D coordinate frames?
For my master thesis in robotics I have to compute the orientation error between two coordinate frames, called E and H. Their orientation is expressed through rotation matrices (3x3) with respect to a ...
1
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1answer
56 views
Rotating a lever with a small servo
I'm trying to rotate a lever link to gently "offload" a load using a servo. Here's a drawing:
Here, the red is a lever, yellow pivot and black is the load. To offload, the lever needs to be turned 90 ...
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0answers
25 views
MPU6050 Gyro rotaion always around Y axis
I am using an MPU6050 IMU. I did a small experiment having Z-axis pointing upwards.
1. Rotate 90deg around Z-axis (yaw) and back to the original position
2. Rotate 90deg around X-axis (roll) and back ...
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0answers
20 views
Moment of Inertia of a planar rotation link with a 6-DOF base
I'm interested in analytic calculation of a moment of inertia of a robot's arm in the following situation.
Let us assume the following:
Stationary reference frame $ \{b\} = \{X_B, Y_B, Z_B\}$ and ...
4
votes
2answers
96 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 ...
0
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1answer
773 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
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1answer
49 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
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1answer
258 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 ...
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0answers
83 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 = (...
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1answer
53 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....
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1answer
25 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 $T$(...
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0answers
17 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). ...
0
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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 ...
4
votes
1answer
204 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 ...
2
votes
2answers
642 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 ...
0
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1answer
412 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 ...
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vote
3answers
203 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
1k 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
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5answers
2k 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
1k views
2
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0answers
103 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 $R^A_B$ ...
2
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3answers
127 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
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1answer
103 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
45 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
81 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 ...
1
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1answer
206 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 ...
1
vote
1answer
276 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 ...
2
votes
1answer
2k 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
291 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 ...
0
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1answer
28 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 "...
1
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2answers
558 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 ...
2
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1answer
76 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 ...
