Questions tagged [matrix]
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19 questions
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Inverse Kinematics, indicate if multiple soltuions exist using a matrix
I'm trying to practice inverse kinematics and I'm having a really tough time understanding how you can indicate if multiple solutions exist just using a matrix. I also don't know how I would indicate ...
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From euler angles to rotation matrix and vice versa
I want to check if I am using the correct functions to transform from euler angles to rotation matrix and viceversa. I am using XY’Z” convention of euler intrinsic angles.
As example, I have the ...
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Siciliano et al. Rotation Matrix Notation
I'm reading Siciliano et al.'s Robotics: Modeling, Planning and Control, and I'm confused about the notation used in definiting rotation matrices.
On page 46, they state
If $\textbf{R}_i^j$ denotes ...
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Rotate sensor frame to body frame
I'm working with a lsm303agr from ST. Here is the frame attached to the chip
Here is the body frame
So I have some doubts about the rotations, before to fuse data ...
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geometric meaning of rotation matrices related to different frames
Consider the following rotation matrices:
$^{a}R_{b}$, $^{a}R_{c}$ and $^{a}R_{d}$
in which
$^{x}R_{y} \in SO(3)$ describes the orientation of a generic frame $y$ wrt the coordinates system of ...
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Aligning accelerometer readings with vehicle's frame of reference
I have a device with an accelerometer installed in a vehicle. Its orientation in relation to the vehicle is unknown. So I am looking for a reliable way to align the coordinate system of the ...
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Why do we parametrize matrices?
I'm learning about rotation matrices in class and one of the topics mentioned to parametrize a matrix.
What do we need to do this?
For further reference: https://www.youtube.com/watch?v=Y8gB7nvtmrU
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Finding 6 angles for UR5 a 6Dof Robot
I am looking for a method to find 6 rotation angles for the 6DOF, 6joint, 5 link UR5 robot. these angles would be used to control UR5 through ROS but unfortunately I cant find any way to find these ...
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Derive the system's dynamics function and the Jacobian Matrix G of Extended Kalman Filter of a differential drive robot on a 2D plane
I have found the following answer on the system's dynamics function and what the Jacobian matrix G of the Extended Kalman Filter look like for a 2D robot with a differential drive. Taken from slides ...
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Multiplication of rotation matrix help
I'm Watching Angela Sodemann video on 6DOF robots and am following her example, but I'm getting a different answer for my R3_6 matrix and I'm not sure where I'm going wrong. She uses this as her ...
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IK Jacobian is always a singular matrix
I am trying to solve an inverse kinematics equation for 6DOF system, 3 rotation and 3 prismatic joints. I am trying to solve using perturbation method, by adjusting each joint and calculating the ...
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Multiple Rotations via Matrix Multiplication
so I am having an issue understanding why you right multiply for current frame rotation vs left multiply for fixed frame.
Let us say you want to: Rotate about x, then Rotate about current y, then ...
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Equations of motion in matrix form and energy consumption
I am working on Lagrangian derived high-dimensional motion equations for a robot in matrix form. The structure of such an equation is known:
$M(q)\ddot{q}+C(q,\dot{q})\dot{q}+G(q)=0$
In here, $M(q)$, $...
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Matrix Algebra vs Trigonometry for Inverse Kinematics
What method is “better” for solving inverse kinematics for a robot arm: matrix algebra or trigonometry?
To define “better”:
efficiency/performance vs memory usage
generality (how well can it be ...
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calculation sequences when using RPY-transformation vs Euler-transformation
I have trouble understanding calculation sequences for RPY-transformation and Euler-transformation.
Let's assume that there are 3 (rotation/translation) instructions.
I will notate transformation ...
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The modulus of each columns of the rotation matrix is
The modulus of each columns of the rotation matrix is
1, 0.5, 0.866 or 1.366
which one is correct?
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Questions about time derivative of jacobian matrix
I find that in some robotic toolboxs(e.g. FROST https://ayonga.github.io/frost-dev/index.html) they use
to calculate time derivative of jacobian matrix.
Here is my guess about the reason of using ...
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Caculate/Specify the covariance matrix for a omniwheel robot
I have an omnidirectional robot (x, y and rotation around z), which I would like to use the SLAM-algorithm from ROS. But the odometry from the robot has a drift, which makes some error. To improve the ...
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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 ...
