### ME 469: Introduction to Robotics Robotic Vision Project

This project will use a calibration approach to using vision for robot manipulator control. This is in contrast with "Camera Space Manipulation" which is the subject of Dr. Skaar's research. Calibration methods suffer from several shortcomings; on the other hand, it is perhaps the predominant methods of vision based robotic control in industry. (See the Adept vision robot.)

To calibrate the vision based controller for the robot, you will move the robot to a set number of configurations and instruct the controller to save the image location of the robot as well as its actual position in the plane. After the samples are saved, the robot can be instructed to move to any image location. The controller computes the actual location by interpolating between or extrapolating from x and y coordinates saved in the calibration step.

There are a variety of ways of using calibrated points to control the robot, but here we will use a particularly simple approach. What the controller does is find the two closest saved sample points, and does a simple linear interpolation separately for the x and y components of each.

Each of the two closest points will have image and world coordinated, respectively: (x1,image,y1,image), (x2,image,y2,image), (x1,world,y1,world), (x2,world,y2,world). Let the desired tip image location be specified by (xdes,ydes). Then simple, coordinate decoupled interpolation gives the world tip locations by

((x1,world - x2,world)/(x1,image - x2,image))* (xdes - x2,image) + x2,world
and
((y1,world - y2,world)/(y1,image - y2,image))* (ydes - y2,image) + y2,world.

While seemingly straightforward, this method is fundamentally flawed in a couple of ways. Hopefully your experimentation will discover some of these. The purpose of this lab is to explore the efficacy of the vision based calibration control strategy described above.

### Details:

```       setenv DISPLAY me469.ame.nd.edu:0
```
to set the display.
3. Start the GUI by typing
```       puma
```
4. Initialize the robot by following the instructions under the initialize command under the file menu.
5. After initializing, the vision window is started under the vision file menu.
1. The "Capture" button captures a new image;
2. The "Threshold" button thresholds the image;
3. To highlight the triangle on the "forklift" click on the triangular region. This will identify the triangle and compute the coordinates of the tip of the triangle as well as its centroid.
4. The "Save Sample" button saves the tip and centroid coordinates as well as the configuration of the robot. In order to be used in the calibration calculations, the samples must differ from each other by at least 10 pixels in both the x and y directions for the tip of the triangle.
6. After saving some samples the "Calibrated Motion" button will cause the robot to move to any location specified by clicking on the image plane. In order for the GUI to control the location of the arm, the robot must be under computer control, so you have my to hit the "comp" button on the teach pendant.
7. After setting everything up and getting it to seemingly work properly, see how well such a calibration based approach works by saving 2,4,8 and possibly more samples, and in each case record the following data:
1. The location and number of calibration points (these should appear in the puma control window);
2. The location of several calibrated motion points and an indication of the amount of error, if measurable, associated with the motion;
3. A qualitative characterization of the error, e.g.,
1. Is the error biased in a particular direction (left, right, up or down)?
2. Is the error greater in a particular region of space or a particular region of the image, e.g., in the periphery or the center of the image?
3. Is the error greater if the controller has to extrapolate from the calibration points rather than interpolate between them?
4. Does is matter where the calibration point are located? For example, for the case of 4 calibration points does the system work better or worse if they are clustered together or spread apart? Does it matter if they are arranged in a line or a polygon? Try, for example, to calibrate four points in a square near the center of the grid and then calibrate in a square using the four extreme corners of the grid. Does one way work better than the other, does each work just as well, or does each have relative advantages and disadvantages?
5. To the extent there is error present, can you identify a likely source?
6. etc.
4. After testing the system with 8 calibration points, if you think that better performance will be gained by saving even more points, try it with more calibration points.
5. Finally, calibrate the system with enough points so that it works with reasonable accuracy. Then move the camera slightly (about 1/2 inch) in any direction. How much did this impact the accuracy of the system?
8. Write a concise, coherent and otherwise brilliant project report.

B. Goodwine (jgoodwin@nd.edu)
Last updated: December 1, 1998.