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[Studies in Computational Intelligence 481] Artur Babiarz, Robert Bieda, Karol Jędrasiak, Aleksander Nawrat (auth.), Aleksander Nawrat, Zygmunt Kuś (eds.) - Vision Based Systemsfor UAV Applications (2013, Sprin

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144 A. <strong>Babiarz</strong>, R. <strong>Bieda</strong>, and K. Jaskot<br />

image , correspond<strong>in</strong>g to the <strong>in</strong>put image’s pixel at the fractional coord<strong>in</strong>ates<br />

, can be found <strong>in</strong> two ways. First is to use a simple NN <strong>in</strong>terpolation:<br />

, , , (5)<br />

which is very fast method, however some artefacts will be visible on the output<br />

image, as shown on the Figure 4. Second method uses bil<strong>in</strong>ear <strong>in</strong>terpolation [15]:<br />

,<br />

, <br />

<br />

, <br />

<br />

<br />

, <br />

<br />

<br />

(6)<br />

, <br />

<br />

,<br />

where<br />

<br />

<br />

<br />

<br />

This method gives results of better quality, however its performance very often<br />

cannot be accepted. Results obta<strong>in</strong>ed with use of this method are shown on the<br />

Figure 4(b). Fortunately, quality of corrected image obta<strong>in</strong>ed from NN <strong>in</strong>terpolation<br />

is sufficient. In case of color images, the above procedures have to be performed<br />

for each color channel separately.<br />

(7)<br />

Fig. 4. Results of compensation of the radial distortion with NN (nearest neighbor) (a) and<br />

compensation of the radial distortion with bil<strong>in</strong>ear sampl<strong>in</strong>g of source image (b)

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