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Usability of Digital Cameras for Verifying Physically Based ...

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(a) (b)<br />

Figure 30: (a) ColorCheckerSG after correcting <strong>for</strong> distortion; (b) the subareas <strong>of</strong><br />

the patches that were used <strong>for</strong> averaging (blue squares).<br />

digital photography and can be solved easily. S<strong>of</strong>tware <strong>for</strong> identifying such pixels<br />

is available as freeware (e.g. Dead/Hot Pixel Test [dea06]). Pixels that are labeled<br />

as dead or hot pixels are excluded from further calculations. With the third case<br />

we have to deal separately, though. We analyzed the deviation <strong>of</strong> pixel values <strong>of</strong><br />

several patches, in order to find a method <strong>for</strong> picking the most representative pixel<br />

value. As we cannot pick only one pixel <strong>of</strong> a patch, we have to take a region <strong>of</strong><br />

pixels into account. The areas we chose <strong>for</strong> selecting a representative pixel value<br />

can be seen in figure 30 (b). The size <strong>of</strong> the area depends on the size <strong>of</strong> the image.<br />

For the image seen in figure 30 each area covers 990 (33x30) pixel. We excluded<br />

the border <strong>of</strong> each patch to avoid inaccuracies due to noise and interpolation at the<br />

edges.<br />

Figure 31 shows histograms <strong>of</strong> exemplary distributions <strong>of</strong> pixel values <strong>of</strong> one<br />

channel <strong>of</strong> a patch. In the first histogram (see figure 31(a)) the values are hardly<br />

effected by noise and it is there<strong>for</strong>e obvious that 229 is a representative value<br />

<strong>for</strong> this kind <strong>of</strong> distribution. The median (229) and the mean value (228.95) are<br />

very close in this case. For the distribution seen in figure 31(b) the representative<br />

value is more ambiguous. A considerable amount <strong>of</strong> pixels has the value 216,<br />

which indicates that the value we are searching <strong>for</strong> lies in between 215 and 216.<br />

The median <strong>of</strong> 215 and the mean value <strong>of</strong> 215.28 differ noticeably. Here, the<br />

mean value seems to better represent the relevance <strong>of</strong> the particular pixel values.<br />

Figure 31(c) shows a distribution were this is not the case, though. We can see<br />

that there is a huge amount <strong>of</strong> noise present and that there are even some severe<br />

outliers. These outliers were caused by a light dust particle on a dark patch. The<br />

49

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