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Master Thesis - Fachbereich Informatik

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5.3. EXPERIMENTAL RESULTS 109<br />

Detection rate<br />

1.05<br />

1<br />

0.95<br />

0.9<br />

0.85<br />

0.8<br />

black<br />

transparent<br />

0.75<br />

0 10 20 30<br />

Tube spacing [mm]<br />

40 50 60<br />

Figure 5.5: Detection rate of black and transparent tubes depending on the spacing between<br />

consecutive tubes.<br />

Thus, one can conclude the system is able to detect the synthetic tube edges very accurate<br />

even under the presence of noise if there is a sufficient contrast between background<br />

and foreground.<br />

5.3.2. Minimum Tube Spacing<br />

10 black and 10 transparent tubes are used to investigate the influence of the spacing<br />

on the detection rate. The tubes have been placed on the conveyor at an approximately<br />

constant spacing. Five gap sizes are tested: 60, 30, 20, 10, and 5mm respectively. Each<br />

load of tubes passes the measuring area five times for each gap size at a conveyor velocity<br />

of 30m/min. In this experiment the total detection rate Ωtotal is considered only, i.e. how<br />

many tubes are detected by the system at least once. The results are averaged over the 5<br />

iterations.<br />

As can be seen in Figure 5.5 the detection of black tubes is uncritical indicated by<br />

Ωtotal = 1 until the tube spacing is less than 10mm. This means no black tube can pass<br />

the measuring area without being measured if the spacing is ≥ 10mm. The decrease at<br />

5mm gaps to Ωtotal =0.98 (i.e. 1 tube out of 50 is not detected) may be due to the fact<br />

that the manual tube placing can not guarantee an exact spacing of 5mm. It is likely<br />

that the distance between two tubes has become even smaller leading to the failure. Since<br />

the tests have been performed online it is not possible to locate the origin of the outlier.<br />

Therefore, it has been investigated how small the gap between two black tubes must be<br />

until the profile analysis fails to locate the tube. The results are shown in Figure 5.6. Even<br />

a spacing of about 2mm as in (a) is large enough to reliably detect the background regions<br />

between the tubes as can be also seen at the corresponding profile analysis results in (c).<br />

A gap of about 1mm, however, is too small even for black tubes. Due to perspective the<br />

points closer to the camera merge (see Figure 5.6(b) and (d)).<br />

Thetransparenttubesshowadetectionrateof< 1 even for the largest tested gap<br />

size of 60. This can be explained by the much lower contrast to the background. If the<br />

system must able to overcome a strong non-uniform background brightness, one has to<br />

make a larger compromise in terms of detection sensitivity. As it turns out there is no<br />

parameter setting that can guarantee that all tubes are detected independent of the gap

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