VIATEK CONSULTING GROUP, Tapióla, Finland
The Finnish Digital Terrain Model and Experiments performed
with it.
Civ.eng. E Viita, Helsinki
1. Theory of the Digital Terrain Model
The Finnish Digital Terrain Model is a part of a larger system
of road planning, the so-called Finnish Surface System. The de
velopment of this system was commenced in 1964.
The basis of the Digital Terrain Model is formed by terrain points
that can be arranged into triangular or square patterns or given
as arbitrary random points.
The interpolation of elevation is in principle carried out by
simulating the terrain surface with plane triangles. The routine
of the elevation computation is determined by the form of the
points of the model. In the designing of the Digital Terrain Mod
el the simplicity of solution and rapidness of use have particu
larly been stressed without, however, comprising the demands of
accuracy. The Digital Terrain Model functions in the following
manner:
If the terrain points form equilateral triangles, the triangle
that is formed of the three nearest points is used. This form
of Terrain Model is the most rapid in computer calculation and
it can be used for instance when the points are taken from
aerial photographs.
If the terrain points form squares the four nearest points are
used in such a way that the basis of the triangle is formed
by the two nearest points and the third and fourth points of
the square are the apexes of the triangles. The elevation of
the point is determined from both the triangles that are formed
in such a way and the mean value is used.
If the basic points of the terrain model are random points, the
method of calculation is a combination of the elevation deter
mination methods described above. The programme first tests
if the point to be measured falls within the triangle that is
described by the three closest points. If this condition is not