# Accurately measure height with microscope

As the subject implies this post describes a way to measure the height of an object using the motorized microscope. The whole trick is to take many incremental pictures of an object (and background as a reference) from different heights and analyze how sharp each frame is. Some interesting hardware is needed, but nothing that you might call fancy these days.

## Setup

As I already had C1 camera, occasionally used small CNC and a microscope lens only lens and LED ring mount brackets had to be made. That was quick modeling with Fusion360. Started overnight SLA 3D print job and next day parts came out just perfect.

Mounted lens on motorized translation platform and gave it a spin. Worked on a first attempt. One minor issue – did not check Z travel and microscope working distance before installing and had to extend lens from a bracket. Only small parts fit in this rig in this present arrangement, but it is fine for now.

Let’s roll and take a few hundred pictures of a coin at 0.01mm increments.As it usually happens for quick projects Python code is quick and dirty so I will describe base functionality instead of providing source code.

## Motion control

In order to control motion platform, I use open GRBL controller. For example, to move Z axis by 1.1mm send a command like “G1 X0 Y0 Z1.1 F600” to the serial port. After each complete step new picture is taken. The whole process is repeated until full defined range is covered.

## Computer vision

Vision part is also pretty simple (see simillar technique used to auto-focus for motorized lens). OpenCV captures frames when instructed and saves them to disk for later analysis. Locking exposure and white balance usually helps to get more stable results. Sharpness evaluation is done by calling Laplacian transformation on each frame – it gives the numerical evaluation.

After analyzing all pictures and drawing calculated sharpness values on a chart we see two distinct peaks at position 78 and 290. Our Z axis step was 0.01mm, so quick math shows (290-78)*0.01 = 2.12mm. Actual measurement with height gauge and calipers was 2.12mm and Wikipedia says it is 2.20mm. That is close enough, I can write-off 0.07mm to natural wear and tear of the specific coin.

## Conclusion

This is a very specific and interesting way to measure things that can not be touched or sealed inside a transparent container. There are limitations though – surfaces should be parallel and perpendicular to optical axis. Also, surfaces should have some texture in order to distinguish between sharp and blurry picture. Quick setup provided a possibility to measure pretty accurately, but repeatability and real-world performance is due to be tested with calibrated thickness gauges. Expected resolution according to Nyquist Theorem should be at least twice smaller than needed resolution. So for our example, we can say that measured distance is 2.12±0.01mm.

1. stefan
hey that is a great idea on how to measure object height without touching it ;-) i don't have a useful task currently but - hey how knows^^ can you tell - how long did the 'measurement' (picture taking) took? ( i think its a compromise between the syncing of the camera capturing and the movement controller/ and a little wait time until the mechanics are stable after move?! ) and how long took you the hole process from idea to finished measurement?
• saulius
Hi Stefan, it was fairly quick. Can't tell exact but something about 10s to scan whole range. And idea to test was done in a few hours.
2. mike
Hello, What motorized translation platform did you use for this setup? Thanks and best regards, mike.
• saulius
Hi Mike, it check ebay for "SABLE 2015".
3. Wayne
Too bad --- the quick-and-dirty python code was what I was hoping for!
• saulius
Actually it was super primitive. Move from point A to point B. While motors are moving, read a picture and motor position. And analyze image with Laplacian filter (well explained here: https://www.pyimagesearch.com/2015/09/07/blur-detection-with-opencv/)
4. ra
Hey.... Could you please share the code.
• saulius
Similar code base without motor control: https://www.kurokesu.com/main/2016/07/27/opencv-3-python-blur-detection/
5. ga
I tried using the code python blur but failed to get the plot. Could you please through some light on it.
• saulius
Measure one frame, take blur measurement, and save this data point to archive. Repeat with all frames in a video. Plot saved data points. Simple as that.