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Master Thesis - Fachbereich Informatik

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110 CHAPTER 5. RESULTS AND EVALUATION<br />

300<br />

250<br />

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50<br />

(a) (b)<br />

smoothed profile<br />

segment boundaries<br />

local median<br />

global mean<br />

regional mean<br />

predicted tube boundaries<br />

0<br />

0 20 40 60 80 100 120 140 160 180<br />

(c)<br />

300<br />

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150<br />

100<br />

50<br />

smoothed profile<br />

segment boundaries<br />

local median<br />

global mean<br />

regional mean<br />

0<br />

0 20 40 60 80 100 120 140 160 180<br />

Figure 5.6: Minimum tube spacing for black tubes. (a) A spacing of about 2mm is still<br />

sufficient to locate the measurable tube correctly. (b) The detection fails if the two tubes<br />

appear to touch under perspective as on the left side. (c) Profile analysis of (a). (d) Profile<br />

analysis of (b).<br />

size. However, the results have shown that the detection rate decreases drastically below<br />

10mm(seeFigure5.5).<br />

As the result of these experiments the minimum spacing used in the following experiments<br />

is 10mm for black tubes and 20mm for transparent tubes.<br />

5.3.3. Conveyor Velocity<br />

The test data in this scenario includes 17 transparent and 21 black tubes of 50mm length<br />

and 8mm diameter. Manual ground truth measurements of these tubes are available. The<br />

number of tubes of each color is geared to the number of tubes that can be placed on the<br />

conveyor with a sufficient spacing. To increase the probability of a 100% detection rate,<br />

the spacing between two transparent tubes has to be larger than for black tubes. Each<br />

charge of tubes is measured 5 − 6 times at each velocity of 10, 20, 30, and 40m/min to<br />

yield a total number of > 100 measurements (based on even more single measurements)<br />

in each experiment. Thus, all tubes have to pass the measuring area many times.<br />

Before presenting the results in detail, Figure 5.7 shows an example of how the system<br />

has measured (a) the charge of black tubes and (b) the charge of transparent tubes at<br />

20m/min respectively. Both the single measurements per tube (indicated by the crosses) as<br />

well as the computed total length and the corresponding ground truth length are visualized.<br />

The lengths measured by the system are quite close to the ground truth data.<br />

These results are just an example to show what kind of data is evaluated in the following.<br />

Since it is not possible to visualize longer sequences as detailed as in Figure 5.7 due to the<br />

(d)

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