2.2 DEM Corrected Tracing
This scheme requires a digital elevation model (DEM) in
either a grid or triangulated irregular network (TIN) form.
Based on this data, the relief displacement of points along
the path of digitization is determined and their planimetric
position corrected.
Interpolation in the DEM is performed according to an
iterative algorithm developed by Masry and McLaren (1979)
for computing the planimetric coordinates of features
digitized in a single photograph. First the exterior
orientation of the photography is acquired. Next, the
collinearity equation is used to project the image points onto
a plane set at the average terrain elevation to obtain object
space coordinates X', Y'. The corresponding terrain
elevation Z' is then found in the DEM which in turn defines
a new projection plane. The procedure is repeated until the
change in Z' is within a preset tolerance. The X, Y, Z
values obtained at the last iteration are adopted as the object
space coordinates of that particular image point.
2.3 Digital Orthoimage Tracing
The acquisition of planimetric object space coordinates from
monoscopic images becomes a simple task if both the tilt and
the relief displacements have been removed from the image
prior to digitization; in other words, if the feature tracing is
performed in an orthoimage.
Differential rectification of raster imagery is a straight-
forward process. First the exterior orientation parameters
are acquired. Next an empty grid is created at the proper
orientation and with a spacing that corresponds to the desired
pixel size of the orthoimage. The elevation of each grid cell
is then interpolated in the DEM, and is combined with the
exterior orientation parameters in a transformation of the
empty grid onto the uncorrected image. Finally, the gray-
scale value of each grid cell is determined by one of the
resampling algorithms such as the nearest neighbour,
bilinear or bicubic interpolation. As a byproduct of this
scheme, the orthoimages can also serve as a companion to
digital line maps. Images are a more complete representation
of the real world than line maps.
3. MAP REVISION TEST
3.1 Test Material and Preparation
All three revision schemes were tested on a 1: 50 000 scale
digital map sheet of the Canadian National Topographic
System (NTS) series and on a 1: 10 000 scale digitial map
sheet of the New Brunswick Geographical Information
Corporation (NBGIC). To facilitate the evaluation of the
results, various features were deleted in a copy of each map
file to simulate an out-of-date map. These features were then
re-established from the same black and white aerial
photographs used for the original map compilation. The
photo scale was 1: 40 000 and 1: 35 000 respectively.
The digital images were obtained by scanning the paper
prints in a Hewlett-Packard ScanJet Plus document scanner
at 300 dots per inch (118 dots per cm) which resulted in a 85
um pixel size at image scale. The corresponding pixel size
on the ground was 3.4 m and 3.0 m in the two photographs
respectively. The radiometric values were recorded in 256
gray levels.
In preparation for the piecewise rectified digitization and the
DEM corrected tracing, the image was registered. to the map
by perspective transformation. The orthoimage was
produced by a rigorous pixel-by-pixel differential
rectification, based on the collinearity equation. The cubic
534
convolusion resampling was employed in all cases. Road
intersections and other well-defined features were selected in
the screen display of the digital maps as control for the
transformation.
Both maps cover the City of Fredericton and vicinity. The
downtown area which spreads along the shore of the St.
John River is essentially flat ground at an elevation near sea
level. There from the terrain has a steady incline and reaches
an elevation of 130 m at the city limit.
3.2 Data Collection and Evaluation
Change detection was performed visually on the screen in a
merged map and image display. The new features were then
traced in the image by freehand cursor control and digitized.
The features mapped included: highways, major
thoroughfares, residential streets, river shoreline, power
transmission line, racetrack, highway bridge, buildings and
edge of forest. All features were digitized in point mode.
Roads were digitized along the centre line.
The new features digitized in each of the three revision
schemes were concentrated into the original map. The
position of the features in the original map were used as the
reference to ascertain the accuracy of the newly digitized
values. Point features were tested by forming the coordinate
differences. Line features were subdivided into sections at
well identifiable breakpoints. Thereafter, X, Y coordinates
were generated at equal intervals along the original and
newly digitized path of the features. The deviations at
corresponding point pairs were then computed.
Final assessment of the three map revision schemes was
based on the degree of compliance with the map accuracy
standards. The 1:50 000 NTS map was produced to meet
the "A" rating in the classification as to accuracy of
planimetry ("Circular Map Accuracy Standard") in the North
Atlantic Treaty Organization (NATO) Standard System for
the Evaluation of Land Maps, which states:
Planimetric position of 90% of well-defined features
measured from the map (except those unavoidably
displaced by exaggerated symbolization) will fall
within... [25 m]... relative to their true planimetric
position as referred to the geographic graticule or
grid of the map.
This accuracy criteria expressed in terms of measurements
made on the map is 0.5 mm. The equivalent root mean
square error (RMSE) in position is 16.5 m or 0.33 mm.
The 1:10 000 scale map was produced by the Maritime Land
Registration and Information Service to satisfy the accuracy
specification for the Urban and Resource Digital Map Base
prescribed in the Land and Water Information Standards
Manual, which states [NBGIC, 1991]:
Ninety percent (9096) of all "well defined features"
must fall within the positional accuracy... [2.5 m].
Well-defined features are those whose positional
accuracy is not adversely affected by vegetative
cover. Accuracy of the digital data (point, line, area)
can be defined as the difference between the position
of the associated data in the digital file and the real
position of the represented feature on the earth.
The above requirement expressed in terms of RMSE in
position is 1.6 m. It should be noted, that the accuracy
assessment was based on the comparison of two digital
products and not on measurements made on the ground.
Therefore, the tolerance can be increased by a factor of V2 to
account for the uncertainties in both data sets, which is equal
to 3.5 m and 2.3 m for the 90% error and the RMSE
respectively. The required 9096 error and RMSE for a
graphical plot produced from the digital map base are 5.0 m
and 3.3 m respectively, or 0.5 mm at the publication scale.