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12. Digital terrain models
Digital Terrain Models - DTM
Triangulated Irregular Network - TIN
Digital Elevation Model - DEM
Digital Surface Model - DSM
Diamond → brilliant
Steps of developing a TIN-model
- definition of its border
- definition of triangles, automatically with some optimization, sometimes with given breaklines as constraints
- swap triangles if necessary. See the embankment example.
- delete unnecessary points or triangles if necessary
Applications of TIN-models
- interpolation: get the reduced level in a point which was not surveyed before. Linear interpolation is used along the plane defined by three points
- drawing sections: determining the section of a vertical plane and the TIN-model. Only those triangles need to be taken into account which has intersections with the vertical plane.
- drawing contour lines: determining the section of a horizontal plane and the TIN model. The height of the horizontal plane is the reduced level of the contour line.
- creating a grid model: the grid is defined by its origin and grid sizes. Interpolation has to be carried out in the grid points.
- comparison of different TIN-models: interpolate elevation using the second TIN-model in the points of the first TIN-model. The difference model is again a TIN-model
- volume computation: see next lecture.
Drawing contour lines