Exercise: Calibrate a System and Compute Topography

Problem statement

In this coding exercise, you’ll calibrate a laser line topography acquisition system. You’ll then use the computed calibration to reconstruct a slice of an object to inspect.

Launch the Jupyter Notebook app below and follow the instructions.

Instructions:

• The comment lines starting with # >>> indicate that you must edit the cell.

• Replace the None values with the correct function calls.

The main steps that you’ll have to complete are:

1. Blur the calibration slice images.

2. Locate the $y$ location where the intensity is maximum for each $x$ in the calibration slice images.

3. For each $x$, solve an overdetermined system of linear equations to extract the $(a,{\space}b)$ parameters

4. Blur the slice image of an object to inspect.

5. Locate the $y$ location where the intensity is maximum for each $x$ in the object slice image.

6. Reconstruct the object height for each $x$.

Expected output

If everything works as planned, this is the object topographic slice that you should get: