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Semantic Interpretation of Digital Aerial Images Utilizing ...

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98 Chapter 4. From 3D to the Fusion <strong>of</strong> Redundant Pixel Observations<br />

# Observations # Observations # Observations<br />

1 5 10<br />

Undefined Pixels 10 % 25 % 50% 10% 25% 50% 10 % 25 % 50 %<br />

Noisy image 14.1 10.7 8.0 14.1 10.7 8.0 14.1 10.7 8.0<br />

Median 14.1 10.7 8.0 26.4 24.9 18.5 29.4 28.5 25.9<br />

Mean 14.1 10.7 8.0 25.2 24.1 18.4 28.0 27.2 25.0<br />

TV-L 1 29.0 27.1 21.2 36.8 36.0 34.1 39.3 38.6 37.2<br />

Table 4.1: Quantitative evaluation <strong>of</strong> the height field fusion with multiple observations<br />

and a different amount <strong>of</strong> noise level. The evaluation is given in terms <strong>of</strong> the PSNR [dB].<br />

The TV-L 1 model obtains the best noise suppression.<br />

(a) Ground truth (b) 14.08 dB (c) 29.44 dB (d) 39.39 dB<br />

(e) Ground truth (f) 14.08 dB (g) 29.44 dB (h) 39.39 dB<br />

Figure 4.8: Some visual results computed from 10 distorted synthetic height observations.<br />

The first row shows the height model in the image space, while the second row<br />

depict the corresponding rendering. From left to right: the original height model, a noisy<br />

input observations, a result obtained with a median estimation and the fusion result <strong>of</strong> the<br />

TV-L 1 model. One can see that both the median and TV-L 1 model successfully reduces<br />

the outliers. However, we can notice that a regularization is essential for a reliable fusion<br />

<strong>of</strong> multiple height maps.<br />

map fusion since the model better supports piecewise affine image structures.

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