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Master Thesis - Hochschule Bonn-Rhein-Sieg

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3. Hard- and software <strong>Master</strong> <strong>Thesis</strong> Björn Ostermann page 27 of 126<br />

c being the speed of light<br />

f being the used modulation frequency<br />

c 1<br />

� � camera range<br />

f 2<br />

m<br />

299 792 458<br />

s 1<br />

� � 7.<br />

5m<br />

20MHz<br />

2<br />

Equation 2: Calculation of the maximum range<br />

Longer ranges would theoretically be possible by choosing other modulation frequencies. Due to the<br />

physical restrictions of the used sensor chip (saturation time, etc.) 7.5 meters is the maximum range<br />

for which the camera is usable, according to the manufacturer [55].<br />

The advantage in using near infrared light is that the every other part of the spectrum, including the<br />

visible light, can be filtered out before measuring.<br />

The camera’s main characteristics are summarized in Figure 12, additional information can be found<br />

in the first project report [77].<br />

Model No. SR-3100<br />

Pixel array resolution 176 x 144 pixels<br />

Field of view 47.5 x 39.6 degrees<br />

Non-ambiguity range 7.5 m<br />

Frame rate Variable, max 50fps<br />

Estimated Error 1% of measured distance<br />

Figure 12: Table containing Camera Data, taken from [55]<br />

As shown in the first project [77], recognition of the humans hand is assured for a distance of up to<br />

three meters.<br />

Detailed studies on the accuracy of the camera have been done by another BGIA project [80]. Their<br />

result is that the camera’s accuracy does not depend on temperature in a range between -10°C and<br />

+50°C. The camera delivers sufficiently reliable and repeatable results in a distance between 2 and 5<br />

meters, provided that no material is present that does absorb most of the emitted light wave.<br />

In the studies of this project only two materials (a grey jeans and a black shirt) have been found that do<br />

not reflect the emitted waves sufficiently. In the case of the given application, this problem can be<br />

handled as described in chapter 7.2.

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