Questions tagged [transformation]

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orientation transformation

I have a 6-dimensional vector(x,y,z,roll,pitch,yaw) in frame 1, I want to convert it to frame 2 in order to represent the value in frame 2. I know that p2=R12*p1 where p1 is the (xyz) in frame 1. The ...
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167 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 ...
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35 views

Elegant way to mathematically relate joint positions (without a root/base joint) for easy re-rooting?

I'm pretty new to robotics, but have learned about the tranformation matrices and how to relate relationships between joints using transformation matrices. I just wonder if there is a system that ...
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63 views

Calculate transform from different poses

My robot is at a starting pose $s_0 = (x_0, y_0, \theta_0)$ and, while moving, I receive a sequence of motion measurements $[\mu_1, \mu_2, \: ... \: \mu_n]$, where $\mu_i = (\Delta x_i, \Delta y_i, \...
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Transform Velocity data from sensor frame to world frame

I am new to Robotics and transformation topics. I need help in understanding and solving the below problem. I have data (surrounding obstacle position, orientation and velocity) which are in sensor ...
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30 views

velocities transformations between frames

In my system, I have two frames. I want to convert my velocities(x,y,z,r,p,y) in frame 1 to be represented in frame 2. Does multiply the linear component and the angular component with the rotation ...
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40 views

How can I input joint angles to transformation matrix to get position in matlab?

I am trying to get the forward kinematics for a robot model in matlab (rigid body tree). I created a 4 x4 transformation matrix from the base to the end-effector using the gettransform() function. I ...
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22 views

Expressing wrench on different location for a flexible structure

I am working on a flexible robotic arm. At a point (c) on its surface a wrench is exerted, causing the deformation of the arm. For rigid bodies it is possible to transform a wrench from one coordinate ...
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24 views

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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When a permutation matrix is desired for transforming camera frame to world frame?

When dealing with rectified images, why would the inverse of a simple permutation matrix $$P = {\begin{bmatrix} 0 & -1 & 0 \\ 0 & 0 & -1 \\ 1 & 0 & 0 \end{bmatrix}}^{-1}$$ ...