to be generated to avoid an insufficient terrain
description caused by the interpolation algorithm of the
final DTM. For that purpose the boundaries of these
areas must be located. Then the planar triangles from
the preliminary TIN forming these areas afford a
sufficient surface description to interpolate the artificial
points.
5.5 Data update and follow-up products
Within the GIS Interface of HIFI subroutines for data
editing are available. In addition to the update of data
the TIN us updated in real time. Thus after each data
modification step as explained above an updated TIN is
present and the modification actions can be checked at
any time deriving DTM follow-up products, e.g. con-
tours or shaded relief representations. Also the quality
test is always available to check the improvements of the
terrain description.
5.6 Point distribution
The final DTM generation with the finite element
method realized in the program HIFI needs two main
parameters a priori:
- the mesh width of the resulting grid for the interpo-
lated points and
- the interpolation weight for the primary data.
Up to now not enough attention is paid to the deter-
mination of these parameters. Usually they are chosen
empirically or due to the conditions of a project without
knowing wether the parameters meet the requirements
or not. Therefore the quality of a created DTM could be
overestimated by the user or the potential of the primary
data is not used fully for the DTM generation.
In the following a method for a realistic estimation of the
mesh width is described. The lowest hierarchic level of
the data organization in the HIFI data base is called a
subarea, which includes 8*8 meshes. Within every
subarea there should exist a minimum of primary data.
This minimum is the only a priori value for the following
calculations.
In a first step a mesh width is automatically proposed,
which is derived from the ratio of the whole DTM area
and the primary data within this area. This mesh width
can be changed optionally by the user. Using this mesh
width a test of the homogeneity of the point distribution
can be started. For that all data must be organized by
subareas and the subareas by point classes (e.g. class i :
n to m points). The result is represented and can be
analyzed by an image with colour coded subareas or in
a summary way by a histogram (figure 4).
-
o
S 9
u 8
b 7
a 6
r 5
e 4
3
a
2
S
1
0
point class
Figure 4: Histogram of a point distribution
If a great inhomogeneity within the point distribution is
detected artificial points optionally are interpolated by
means of the TIN within areas of sparse or none
reference point coverage to support the interpolation
algorithm for the final DTM.
6. EXAMPLES AND EXPERIENCES
The approach has been tested by two practical examples.
As a first data set digitized contours were preprocessed.
The extension of the project area is about 3*3 km and
HSE
=
Figure 5: Detected gross errors along a piece of a
contour line