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Automatic generation of elevation data over Danish landscape

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<strong>Automatic</strong> <strong>generation</strong> <strong>of</strong> <strong>elevation</strong> <strong>data</strong><br />

2.4.3 Parameters for DEM <strong>generation</strong><br />

2.4.3.1 Correlation<br />

The starting point <strong>of</strong> a correlation done in Match-T is a FBM and, as in Socet Set, a combination <strong>of</strong> ABM<br />

and FBM is also used here. Although the algorithms used in Match-T have been in use for more 15 years,<br />

there are no alternatives in order to derive DTM’s efficiently for large areas [Heuchel, 2005].<br />

The correlation and the DEM <strong>generation</strong> is done stepwise down through the levels <strong>of</strong> the pyramid [Inpho<br />

a), 1995].<br />

The correlation <strong>of</strong> the interest points presupposes that the following information is given:<br />

30<br />

� A temporary indication <strong>of</strong> the terrain <strong>elevation</strong> as starting value<br />

� The epipolar geometry<br />

� Delimitation in the row-direction by parallax bound<br />

and the correlation is done on the basis <strong>of</strong> the following values:<br />

� The existence <strong>of</strong> a gradient<br />

� The size <strong>of</strong> the gradient<br />

� The correlation coefficient<br />

The correlation is only done in the x-direction, as the images are normalised. The movement in the xdirection<br />

is delimited by the size <strong>of</strong> the parallax bound. In Match-T, the parallax bound is changed by<br />

choice <strong>of</strong> the <strong>landscape</strong> type: flat = 3 pixels, hilly = 8 pixels and mountainous = 15 pixels. By choice <strong>of</strong>, for<br />

instance, a mountainous terrain, the fitting in <strong>of</strong> the correlation can therefore be moved 15 pixels in the xdirection.<br />

When the best fit for the correlation is found, taking into consideration the existence <strong>of</strong> gradients,<br />

and the size <strong>of</strong> these in the two images, a correlation coefficient is calculated, see appendix A, section<br />

A.1.2.2.1. The position <strong>of</strong> the correlation is where the greatest correlation coefficient can be obtained.<br />

By means <strong>of</strong> the pyramid levels and an approximated starting value for the terrain <strong>elevation</strong>, a quick and,<br />

in principle, independent pre-knowledge <strong>of</strong> the terrain can be deduced from the preceding pyramid level.<br />

2.4.3.2 The DEM <strong>generation</strong><br />

The result <strong>of</strong> the introductory correlation is a cloud <strong>of</strong> points on each pyramid level. These clouds <strong>of</strong><br />

points include gross errors, such as correlation errors, or <strong>elevation</strong> errors, created by houses, trees, etc.<br />

The DEM <strong>generation</strong> is done stepwise down through the pyramid levels, and the terrain surface is reconstructed<br />

by means <strong>of</strong> the finite element principle. The results for each pyramid level are used as temporary<br />

values for the calculation <strong>of</strong> the next pyramid level, see figure 2.9. The result <strong>of</strong> a correlation and<br />

DEM <strong>generation</strong> can be seen in figure 2.10.

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