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Several formats have been developed for DIM sur-
faces. Some of the main formats used in computer
software are:
1) Grid Format (GRD)
A set of x, y, z digital coordinates that
represent the terrain as a regular, rectangular
pattern in the x-y plane.
Triangle Format
A set of x, y, z digital coordinates that
represent the terrain using a pattern of equi-
lateral triangles in the x-y plane.
3) Triangle Irregular Network(TIN)
À triangle network which represents the terrain
using triangles of variable sizes and shapes
in the x-y plane.
4) Topological Triangle Network (TTN)
A form of TIN network which also represents the
terrain with spatial BREAK lines, OBSTACLE
lines, SPOT elevations, and REGULAR points to
show spatial location and topographic relief.
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A TIN file is a data file used to store the Topo-
logical Triangle Network data. This file contains
all of the input terrain data and the resultant
triangle network converted from the topological
geographic elements. It is generated according to
a designed data structure which uses attributes to
store related information about each triangle,
neighboring triangles, vertical scale, elevation
datum, multiplier and other information.
REGULAR points form triangles under the Delauny
Condition which states that when all triangles in
the surface have been formed no other REGULAR point
should be contained within a circle prescribed by
the three vertices of any triangle. This condition
is overridden in the vicinity of BREAK lines,
CONTOUR lines, OBSCURE areas, SPOT, and EDGE fea-
tures in order that no triangle side crosses these
features.
For a large project, such as a highway or landfill
design, the DTM file is usually created with
three-dimensional geometric elements digitized with
a stereoplotter and converted into the Topological
Triangle Network (TTN) Format. The DTM file in TIN
format should be, theoretically, more accurate and
more practical than other formats. The TTN format
can represent a broad area with a limited number of
points defined by variable densities according to
the relief of the terrain and the required accuracy
of the application. Another advantage is that only
the TTN format can model accurately the critical
high and low positions, such as road shoulders and
ditches, without any additional efforts.
The Intergraph InRoads software, a TTN based DTM
modeling and design package, was used to implement
experiments which try to find the most efficient
method to create an DTM file that meets engineering
accuracy requirements. A study area of approximate-
ly 2100x800 feet was selected for these trials.
The photogrammetric data collection was performed
using a KERN PG2 analog stereoplotter interfaced
with an Intergraph workstation.
All the geographic elements of the DTM were digi-
tized by the same operator with the same stereo-
plotter in order to reduce the interference of
human and system errors. These DTM files were then
used for creating contours, profiles, cross-sec-
tions, and for estimating cut and fill volumes for
a highway design.
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The standard procedures implemented in this experi-
ment were as follows:
1) Set up the stereo model and design file;
2) Digitize EDGE line (boundary) on a specific
level with corresponding symbology;
3) Digitize BREAK lines, REGULAR points, and SPOT
elevations on different level and different
symbologies;
4) Digitize random contours for verification
purposes;
5) Convert 3D elements to TTN file;
6) Generate and display contours from the stored
TTN file;
7) Compare the contours generated from the TIN
file with the verification contours.
According to our experience, the REGULAR points
take most of the digitizing time. Because the
operation time is proportional to the total amount
of digitized points, the number of REGULAR points
digitized has the greatest impact on the cost. For
easy comparison, we digitized four files using the
same BREAK lines, SPOT elevations, and EDGE lines,
but different densities of REGULAR points. For the
convenience of digitizing, we used the vertices of
3D line strings to represent the REGULAR points.
(see Fig.1)
The final contours were generated at one foot
intervals based on the DTM file with the following
specifications:
1) 25 FT REGULAR Spacing - See Fig.2
2) 40 FT REGULAR Spacing - See Fig.3
3) 50 FT REGULAR Spacing - See Fig.4
4) 75 FT REGULAR Spacing - See Fig.5
3. ANALYSIS and COMPARISONS
The basic assumptions used in the studies and
analysis were as follows:
1) This is a relative comparison between the
contours generated from different densities of
geographic points and manual stereocompila-
tion.
2) We are presuming the digitization to be accu-
rate.
3) The elevation of an individual point is more
accurate than the elevation of the digitized
contours.
4) Assume the final map scale is 1:600, and it
will be used in a highway project.
A field verified survey is needed to evaluate the
error in the contours from manual stereocompila-
tion. Without a field verified survey, we assume
the manual compilation meets National Map Accuracy
Standards.
Table.1 is a list of elevation differences between
the contours generated from the DTM data with
different specifications and the contours compiled
manually. The differences are more uniform as the
spacing becomes smaller.
Table.2 lists the number of points for each geo-
graphic element in different DTM files. The collec-
tion time and standard deviation for each file are
also shown. These data are used to create Fig.6 for
determining the optimal number of points to col-
ect.
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