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Master Thesis - Fachbereich Informatik

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5.4. DISCUSSION AND FUTURE WORK 131<br />

(a) Background only (b) Background + Tubes (c) Masked spectrum<br />

(d) Source Image (e) Filtered Image<br />

Figure 5.23: Background suppression in the frequency domain. (a) Fourier transform of an<br />

image of an empty conveyor. (b) Fourier transform of (d). (c) Certain frequencies have been<br />

removed by hand indicated by the black regions. (e) Inverse Fourier transform of the filtered<br />

spectrum. The characteristic vertical background pattern could be reduced quite well while<br />

thetubeedgesarepreserved.<br />

The experiments have shown that tubes of 8mm diameter are most robust against<br />

deformations. While thinner tubes of 6mm diameter tend to be bent, tubes of 12mm may<br />

be elliptical in the cross-section. In both cases the accuracy and precision decreases. The<br />

question is whether such deformations are only caused by the way the tubes have been<br />

stored, transported and handled throughout the experiments in the laboratory or if they<br />

also occur at production. The later can be assumed, at least in a certain amount. A<br />

telecentric lens could overcome the problem of perspective occurring with deformed 12mm<br />

tubes.<br />

A less cost expensive improvement would be to measure not only the length, but also<br />

the height of a tube in the image. A larger height indicates the tube is closer to the camera<br />

and vice versa. The calibration factor relating pixels to mm could be defined as a function<br />

ofthetubeheight.Obviously,thisrequiresamorecomplexteach-instep.<br />

Another potential source of deviations in the measurements is the tube orientation.<br />

The guide bars restrict the maximum tube rotation to a minimum. The remaining error<br />

has been approximated. Although it is very small, it could be even further reduced by<br />

tilting the whole conveyor slightly around its longitudinal axis. The angular orientation<br />

guarantees that all tubes will roll to the lower guide bar. If the guide bar is horizontal<br />

in the image, so will be the tubes. Accordingly the camera position has to be adapted<br />

to reestablish the fronto-orthogonal view. The proposed camera positioning method is<br />

independent of the orientation of the conveyor and the camera in 3D space.

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