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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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Omnidirectional Video Acquisition Device (OVAD) 125<br />

Fig. 1. PTZ camera AXIS<br />

P5532-E (a), OVAD (b), LC-1120 FISHEYE Premium (c)<br />

3 Lens Distortion<br />

Distortion is the fifth of Seidel aberrations [1]. This aberration is an effect of non-<br />

uniform magnify<strong>in</strong>g over entire field of vision. The bigger <strong>in</strong>cidence angle of rays of<br />

light is, the bigger is deviation from primary <strong>in</strong>cidence angle. Distortion does not<br />

occur <strong>in</strong> very th<strong>in</strong> lenses and <strong>in</strong> p<strong>in</strong>hole cameras. However, p<strong>in</strong>hole camera field of<br />

view is narrow <strong>in</strong> comparison with the one of camera with lens. Increas<strong>in</strong>g field of<br />

view of p<strong>in</strong>hole camera would mean <strong>in</strong>crease of focal plane size. Today focal planes<br />

are very small and <strong>in</strong>creas<strong>in</strong>g their size is not reasonable, so <strong>in</strong>creas<strong>in</strong>g its field of<br />

view creates necessity to use systems of lenses. The result of that operation is appear-<br />

and radial distortion. Those two types are describ<strong>in</strong>g directions of dislocation of spe-<br />

cific po<strong>in</strong>ts. Radial distortion can be described as displac<strong>in</strong>g of specific po<strong>in</strong>ts along-<br />

side with radiuses diverg<strong>in</strong>g from center of lens (radial direction), while tangential<br />

distortion appears when po<strong>in</strong>ts are shift <strong>in</strong> a direction, which is perpendicular to those<br />

radiuses. Tangential distortion may occur when focal plane is not placed <strong>in</strong> parallel<br />

with lens. There are also a few another def<strong>in</strong>ed types of distortion, however usually<br />

their <strong>in</strong>fluence on quality of image is not as important and visible as the one of men-<br />

tioned radial and tangential distortion. Because of that they are usually omitted dur<strong>in</strong>g<br />

analysis of distorted picture. Radial distortion is displacement of certa<strong>in</strong> po<strong>in</strong>ts <strong>in</strong><br />

<strong>in</strong>g of distortion. There are<br />

two ma<strong>in</strong> types of optical distortion - tangential distortion<br />

relation with distance from<br />

the middle po<strong>in</strong>t of captured image. There are two types<br />

of radial distortion:<br />

• barrel distortion (fig. 1.a) – with <strong>in</strong>creas<strong>in</strong>g distance from center of image, there<br />

is possibility that image will be curved towards center of image or it can be<br />

said that magnificationn decreases towards edges of image. This aberration is<br />

typical for standard lenses. Video streams captured by cameras used <strong>in</strong> OVAD<br />

project are distorted by<br />

this type of radial distortion [1].<br />

• p<strong>in</strong>cushion distortion (fig. 1.b) – mostly present <strong>in</strong> telephoto lenses, with <strong>in</strong>-<br />

creas<strong>in</strong>g distance from<br />

center of focal plane image is curved towards its’ edges,<br />

magnification <strong>in</strong>creases [1].<br />

There can be found some annotations <strong>in</strong> literature about moustache distortion<br />

(fig 1.c), which is made from both barrel and p<strong>in</strong>cushion distortion. This aberration<br />

makes image curved as <strong>in</strong> p<strong>in</strong>cushion distortion when closer to the edges, while<br />

closer to the center it behaves as barrel distortion. Other than moustache distortion<br />

this aberration is also named mixed distortion or complex distortion.

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