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Master Thesis - Fachbereich Informatik

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20 CHAPTER 2. TECHNICAL BACKGROUND<br />

which makes back lighting interesting for dimensional measuring tasks. Furthermore,<br />

surface structures or textures can be suppressed. If the only light source is placed below<br />

the object, there will be no shadows around. Back lighting can also be used for localization<br />

of wholes and cracks, or for measuring translucency.<br />

In combination with polarized light, back lighting can also be adapted to enhance the<br />

contrast of transparent materials which are difficult to detect in an image at other lighting<br />

setups. In a typical scenario, polarized light entering the camera directly is filtered out by<br />

an adequate polarization filter in front of the camera lens, while the polarization of the<br />

light is changed when passing through the object. Thus, in opposition to back lighting<br />

without polarization, background regions appear dark in the image while (translucent)<br />

objects result in brighter intensities. Figure 3.9 in Section 3.3 visualizes the effect of back<br />

lighting in combination with a polarization filter.<br />

2.3. Edge Detection<br />

An edge can be defined as particularly sharp change in (image) brightness [24], or more<br />

mathematically speaking a strong discontinuity of the spatial image gray level function<br />

[36].<br />

Beside edges due to object boundaries, there are much more causes for edges in images<br />

such as shadows, reflectance, texture or depth. Thus, simply extracting edges in images<br />

is no general indicator for object boundaries. To yield a semantical meaning, edge information<br />

can be combined with other features including shape, color, texture, or motion.<br />

Model knowledge about expected properties can be useful to group these low-level features<br />

to objects.<br />

In real images there are many changes in brightness (or color), but with respect to a<br />

certain application it may be of interest to extract only the strongest edges or edges of a<br />

certain orientation. Thus, information such as edge strength and orientation have to be<br />

taken into account to link the results of the filter response. Furthermore, in real images<br />

there is also a certain amount of noise in the data which has to be handled carefully.<br />

2.3.1. Edge Models<br />

Edges can be modeled according to their intensity profiles [65].<br />

considered in this thesis are shown in Figure 2.6.<br />

The two edge models<br />

The ideal step edge is the basis for most theoretic approaches. It can be defined as:<br />

�<br />

i1<br />

Eideal(x) =<br />

i2<br />

,x

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