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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 />

A terrain model reproduces the ground surface without objects such as houses and trees, as illustrated in<br />

figure 1.1 with the green line. Terrain models are, among other things, used as grid models for orthophoto<br />

rectification, flood analysis, and volume estimation <strong>of</strong> soil.<br />

A surface model, on the other hand, also describes the <strong>elevation</strong> <strong>of</strong> objects, such as houses, trees etc.<br />

That is to say, a surface model includes terrain as well as objects. In figure 1.1., the surface model is indicated<br />

with the red line. Surface models are used for 3D animation, trace optimisation and true orthophoto<br />

rectification, among other applications.<br />

1.4 Standards for Elevation models<br />

Users have required new standards for <strong>elevation</strong> <strong>data</strong> based on their uses and applications. These new<br />

demands fall into the following three categories:<br />

12<br />

� Accuracy<br />

� Density<br />

� Currentness<br />

1.4.1 Accuracy<br />

Different users <strong>of</strong> <strong>elevation</strong> models have different demands for how accurate the <strong>elevation</strong> model has to<br />

be. Users in the building construction industry and environmental authorities demand an accuracy on the<br />

centimetre level.<br />

Users such as 3D animators or 3D graphicers do not require an accuracy on the centimetre level, but can<br />

still use an <strong>elevation</strong> model with a high accuracy.<br />

1.4.2 Density<br />

Accuracy on its own is actually not good enough if the mesh size is too large. What good will it be if, at<br />

one point on the mesh, the accuracy is within 10 centimetres and the next point, which is maybe 50 metres<br />

away, also has an accuracy within 10 centimetres, but there is no description <strong>of</strong> the terrain between<br />

the mesh points. A grid with a small mesh size represents the terrain better than a grid with a large mesh<br />

size. An <strong>elevation</strong> model described with high accuracy also needs to contain a small mesh size.<br />

1.4.3 Currentness<br />

Elevation models and geo-spatial <strong>data</strong> in general are only snapshots or a status <strong>of</strong> the <strong>landscape</strong> or area<br />

they represent. As the <strong>landscape</strong> changes <strong>over</strong> time, the <strong>elevation</strong> model describing the area becomes<br />

outdated, corresponding to the degree <strong>of</strong> change. This yields unreliable <strong>data</strong> in the <strong>elevation</strong> model.<br />

As times goes by, the <strong>elevation</strong> model slowly degenerates and becomes more and more unreliable, and<br />

in analyses where time is a crucial parameter, outdated information will have an effect on the accuracy<br />

and reliability <strong>of</strong> the results obtained from the analysis.<br />

1.5 <strong>Danish</strong> digital <strong>elevation</strong> models<br />

In Denmark there are two national digital <strong>elevation</strong> models in existence; an old one within the framework<br />

<strong>of</strong> the National Survey and Cadastre (25 x 25 m) (KMS DTM), and one within the framework <strong>of</strong> the firm<br />

COWI A/S (2 x 2 m) <strong>Danish</strong> Digital Height model (DDH). A new, national <strong>elevation</strong> model within the<br />

framework <strong>of</strong> the National Survey and Cadastre is in production and will be available in the very near future.<br />

1.5.1 KMS DTM<br />

In connection with the production <strong>of</strong> the national vector atlas TOP10DK in the beginning <strong>of</strong> the 1990s, the<br />

National Survey and Cadastre wanted to add an <strong>elevation</strong> model. It was decided to produce a new digital<br />

<strong>elevation</strong> model on the basis <strong>of</strong> the 2.5m contours from the topographic maps in scale 1:25,000 which<br />

were scanned and vectored. To achieve an even greater accuracy, the 2.5m contours have been combined<br />

with <strong>elevation</strong> <strong>data</strong> from different themes from TOP10DK. Examination <strong>of</strong> the 2.5m contours shows<br />

that the accuracy lies in the interval from 1m to 1.5m with a few gross errors up to 2.3 m, in spite <strong>of</strong> the

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