# Questions tagged [coordinate-system]

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### Range of a heading angle [0,2π) or [−π,π)

Consider the unicycle dynamics in 2D plane: $$\begin{array}{l} \dot x = v\cos \varphi \\ \dot y = v\sin \varphi \\ \dot \varphi = \omega \end{array}$$ What is the range of the heading angle $\phi$? ...
2answers
60 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 $(x', y', \theta')$ ...
1answer
162 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 ...
1answer
34 views

### How do you write unit tests for robotics related software?

In my case, I have a library handling 3D input data and want to write tests in order to make sure that my coordinate transform chains for getting the 3D points from A to B are correct. The problem I ...
0answers
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### Kinematic Coordinate transformations, velocity

Suppose you have a set of 12 state variables. Position, velocity, orientation (Euler angle) and derivative of Euler angles. Suppose you have a second set of coordinate axis along with a new set of ...
0answers
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 ...
1answer
30 views

### How to extract robots coordinates using ICP algo

I would like to know How to extract robots localization from the icp or ndt algo, currently I'm using scan registration for this reason
0answers
29 views

### Finding orientation of object in 3D space

Given the above constellation, I have to find the orientation of object B in the coordinate system of Object C. The objects A and B are fixed to a certain place and the object C can move in freely in ...
0answers
14 views

### Compute absolute position of obstacle in V-Rep from proximity sensor measurement

all. I am trying to construct the map of the environment by using the measurements from the proximity sensor in V-Rep. I have absolute position of the robot. So, I know the X1, Y1 coordinates of the ...