problems: a shape of contour line is often much
different from the neighbor contour line; and there
are very few information of contour in low land
area (Figure 1).
By the way, DEM can be divided into two
models: Raster type; and Vector type. A
represented vector type DEM is TIN (Triangulated
Irregular Network) model. This model is supported
by almost GIS software. An accuracy of this model
depends on network condition. The triangle
sometime rejects detail of complicated contour line.
So, an accuracy of raster type DEM is higher than
TIN. Therefore, an objective DEM in this study is
selected raster type.
Generally, an interpolation of contour line is
calculated pixel by pixel for raster type DEM. A
profile or a window is usually used for the
interpolation. However, when we use a small scale
contour map, generated DEM from those methods
have not enough accuracy. So, we developed new
method which is based on intermediate contour
line derivation. And an efficiency of the
developed method was discussed by comparing
with existing methods.
For evaluation, comparison item is usually
used only elevation. However, DEM is applied to
many analysis such as hill shading, run off
analysis, slope stability analysis and so on. Those
applications require a total balance which is
combination of elevation, inclination and slope
aspect. Therefore we tried to evaluate on many
items. For example elevation, inclination, slope
aspect, undulation, stream pattern and slope
stability was used. Finally, a relationship
between contour line interval and accuracy was
concluded. This information will be very important
to generate DEM from a contour map.
2. EXISTING INTERPOLATIONS
The most popular method of the
interpolation is using a profile which include
target pixel. In this paper, this method is called
"profile method". An elevation of the target pixel
can be estimated by curve fitting from crossing
points of contour line along the profile. Linear
equation, polynomial equation, second order
equation or Spline function is used as curve fitting
equation. Figure 2 shows a shaded image of
generated DEM by Spline function from a test
contour line map (Figure 1). The contour line
interval was spread purposely in order to see
reliability of the result. In this image, there are
profile. Searching the most suitable direction of
profile is difficult in this method.
Another popular method of the
interpolation is using a window which a target
pixel is located on the center. In this paper, this
method is called "window method". Consisted
pixels of contour lines in the window are used as
random points. An elevation of the target pixel can
be estimated by weighted mean calculation. Figure
3 shows a shaded image of generated DEM from
many radiated noises which are along calculated Figure 3 Shaded DEM from Window method
848
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B4. Vienna 1996