>■ ‘ ■ v-
The images were transferred to the computer by the
software Kodak PhotoEnhancer using a cable connected to
the serial port. Then the images were transformed from
KDC format to TIFF. Row and column coordinates were
measured by using PhotoFinish and the mouse cursor. An
estimated standard deviation was set to 5 pixels due the
zoom effect. Then the pixel coordinates were transformed
to photocoordinates according to the following equations:
x = (nc - nc 0 )-tpc + x 0
У = (nl - nl 0 )-tpl + y 0
where nc,nl are the numbers of the column and row,
respectively; nc 0 ,nl 0 are the numbers of the central column
and row, respectively (378, 252); tpc,tpl are the pixel size
(45,6pm x 45,6pm), and x 0 ,yo are the principal point
calibrated coordinates.
There have been some difficulties to handle this kind of
image specially when it comes to point selection and
measurement due to the particular geometry. Considering
figure 3, an image can be partitioned into fours triangles:
middle up, middle down, left and right. Upper triangle
comprises mostly the sky while middle down triangle
covers mainly the street pavement. Left and right triangles
contain the sidewalks, trees, gates, drives, walls, poles and
other street elements that can be selected to function as
pass or interest points. These limited portions of the images
associated with high contrast and extreme scale variation
bring difficulties to this method.
ft ,
P
\
L. -да
r '■
Figure 3 - Two consecutive pairs of a photogrammetric
traverse
The photocoordinates (observations) and the interior and
exterior orientation parameters (unknowns) were the input
to a phototriangulation program (tftc) with the coordinates
of the perspective center weighted according to the GPS
surveying estimated precision. A bundle block adjustment
was performed to compute the angular orientation of the
terrestrial digital images.
The object points were positioned in a hybrid system
formed by UTM (E,N) coordinates and orthometric heights
(H). The altimetric coordinates were computed based on a
local geoidal model. The hybrid system was considered
orthogonal because of the small size of the field area and
then the approximated object coordinates were introduced
directly in the collinearity equations without any coordinate
system transformation.
After accomplishing the complete exterior orientation, a
simple intersection (based on a pair of images) or a double
intersection (based on two pairs of images) can be applied
to compute the final coordinates for the object points.
These points represent a sort of distinct features like
sidewalk and construction alignments, poles, trees, and
garbage cans, and front land parcel limits. Each one of
these categories was expressed in a separate layer. The
alignment points were constrained by a straight line
equation. 10% of the 150 alignment points had to be re
measured in the images for the high discrepancies (up to 10
m). In the street comers an arc equation constrained those
alignment points. A topographic surface was interpolated to
generate contour lines using Surfer 6.0 software.
5 RESULTS
A 1:2000 street line map was built. A display of it can be
seen in figure 4. The accuracy of the final product was
estimated by comparing the UTM map coordinates and
GPS ground coordinates (transformed to UTM) of the 6
check points. The computed root mean square error (rmse)
was 0.76 m and 0.43 m for the N and E coordinates,
respectively. A trend analysis was performed after
computing the discrepancy average and standard deviation.
Table 1 shows a summary of the figures involved.
amausm
l fte i** L**» £*5*чй U** te*»« la* is*
"BQIsF
i cmtm Oifew едаом
ЬсЛёТГ
■mwiomitB Wrp (Ллаикыи «uo
gifc—v«-*Мм» I и» щя
Figure 4 - 1:2000 street map built by photogrammetric
traverse
Table 1 - Trend analysis and accuracy statistics
Parameter
N
E
A (m)
0.222
0.069
(m)
0.797
.0466
t sample
0.68
0.36
t(5,5%)
2.02
2.02
Xa
17.65
6.03
Xb
6.35
2.17
Xc
4.41
1.51
5A-5-3
IШЩ l
Si