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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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32 R. <strong>Bieda</strong> et al.<br />

- elongation „surface-moment” factor:<br />

<br />

4 <br />

(15)<br />

<br />

Vector design features describ<strong>in</strong>g the objects is shown <strong>in</strong> the table 1.<br />

Table 1. The vector design features<br />

L.P. The name of the feature No.<br />

1 The X coord<strong>in</strong>ate of the geometric center of the area - -<br />

2 The Y coord<strong>in</strong>ate of the geometric center of the area - <br />

-<br />

3 Hydraulic radius (ratio of surface area to the circuit area) (8)<br />

4 The diameter of the circle with an surface equivalent to the area (9)<br />

5 Axis of the ellipse correspond<strong>in</strong>g to the ratio of the area (14)<br />

6 The ratio of the dimensions of the rectangle correspond<strong>in</strong>g to the area (11)<br />

7 Elongation factor (13)<br />

8 The compactness factor (10)<br />

9 Roundness factor (12)<br />

10 „Surface-moment” factor (15)<br />

11 Normalized moment of geometric order 2 ··η (6)<br />

12 Normalized moment of geometric order 2 ··η (6)<br />

13 Normalized moment of geometric order 2 ··η (6)<br />

14 Normalized moment of geometric order 3 · · η (6)<br />

15 Normalized moment of geometric order 3 · · η (6)<br />

16 Normalized moment of geometric order 3 ··η (6)<br />

17 Normalized moment of geometric order 3 · · η (6)<br />

18 Torque <strong>in</strong>variant Hu 1 (7.a)<br />

19 Torque <strong>in</strong>variant Hu 2 (7.b)<br />

20 Torque <strong>in</strong>variant Hu 3 (7.c)<br />

21 Torque <strong>in</strong>variant Hu 4 (7.d)<br />

22 Torque <strong>in</strong>variant Hu 5 (7.e)<br />

23 Torque <strong>in</strong>variant Hu 6 (7.f)<br />

24 Torque <strong>in</strong>variant Hu 7 (7.g)<br />

The first two features of the x vector do not carry a strict <strong>in</strong>formation about the<br />

properties of the object, but only <strong>in</strong>formation about the location of the object <strong>in</strong><br />

the image. These figures were, however, <strong>in</strong>cluded <strong>in</strong> the feature vector due to the<br />

overrid<strong>in</strong>g task that they have been confronted with the vision system, a task associated<br />

with the detection of the object and its location <strong>in</strong> the surround<strong>in</strong>gs of the<br />

<strong>UAV</strong> unit.<br />

In the process of describ<strong>in</strong>g and object recognition us<strong>in</strong>g feature X vector only<br />

22 elements were actually used.

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