# Quiz 3

## Q01Selecting Effective Lighting

The key to solving a vision application is choosing the correct lighting. Depending on the illumination type or position, the way in which the inspection target can be seen varies greatly.

Match up the following vision applications (1 though 3) to the illumination type (a, b or c) that is the most suitable lighting for each of the targets.
Choose from A to C, the correct combination of target type to illumination type.

### Illumination Type

1. 1+(a), 2+(c), 3+(b)
2. 1+(c), 2+(b), 3+(a)
3. 1+(b), 2+(c), 3+(a)

Correct answer:C.1+(b), 2+(c), 3+(a)

## Q02Finding the Maximum Line Speed

When checking for abnormalities on a continuously moving sheet using a vision camera, it is important to determine what the maximum speed of the target should be.

Testing on the target has confirmed that in order for the abnormalities to be properly detected, a field of view of 100mm (3.94") is needed. In addition, the image processing time taken to conduct the inspection using this field of view was 25 ms.

Of the following options, which one is the maximum line speed that detection can occur under these conditions without missing any abnormalities?

1. 60 m/minute
2. 120 m/minute
3. 240 m/minute

As shown in the equation below, the maximum line speed for a given application can be obtained by dividing the field of view by the processing time.

Maximum line speed ＝ Field of view ÷ Image processing time

In this example,

• Field of view = 100 mm (3.94") square
• Image processing time = 25 ms = 0.025 seconds

Therefore,Maximum line speed=100 mm (3.94")÷0.025 seconds
=400 mm (15.75") /second
=240 m (787.4’) /minute.

Also, since image processing times can vary greatly depending on the image sensor being used and the settings, the above equation can be reversed to obtain the actual image processing time required under a given maximum line speed/field of view. This is an effective method in which to find these necessary parameters in advance.

## Q03Lens Depth of Field

The depth of field indicates the Z-axis range in which the target image captured stays in focus.

For example, if you are using a particular lens under a certain condition and the working distance in which the target stays in focus is 100 mm to 105 mm (3.94" to 4.13"), the depth of field is considered to be 5 mm (0.2"). The deeper the depth of field, the less likely the image will be out of focus.

In order to increase the depth of field as much as possible, which of the following options A to D indicate the correct combination?

1. “Select a lens with a long focal point distance (telephoto)”＋“Narrow the aperture as much as possible”
2. “Select a lens with a long focal point distance (telephoto)”＋“Open the aperture as much as possible”
3. “Select a lens with a short focal point distance (wide angle)”＋“Narrow the aperture as much as possible”
4. “Select a lens with a short focal point distance (wide angle)”＋“Open the aperture as much as possible”

Correct answer:C.“Select a lens with a short focal point distance (wide angle)”＋“Narrow the aperture as much as possible”

When using a wide angle lens with a shorter focal distance, it is easier to focus the image on the CCD. Focusing can also be enhanced by using a more narrow lens aperture. A wide angle lens has a longer range of image formation due to the shallow angle of light streams being focused on the CCD. A smaller (narrow) aperture allows less light to enter the lens environment, resulting in a more focused image formation on the CCD.

## Q04Line Speed and Shutter Speed

In general, to prevent a high speed moving target from being out of focus when capturing images, a fast shutter speed is required. On the other hand, if you are capturing the image of stars in a dark night sky, a longer exposure time is required and a slow shutter speed is needed.

For this example, the image sensor has a field of view of 100mm (3.94") and the CCD size is 500 × 500 pixels*. The target will pass the image sensor at a speed of 1000 mm/second.
Which of the following shutter speeds would be best in order to keep the image (in the above example) in focus under the optimum lighting conditions?

*For ease of calculation, the CCD size has been made 500 pixels × 500 pixels, however in reality this CCD size does not exist.

1. 1/500 second
2. 1/1000 second
3. 1/10000 second
4. 1/50000 second