(472)
The aim of this report is therefore to describe a method of distance trian-
gulation in air photographs which works under the same conditions as radial
triangulation. This method makes necessary small tilts and small differences in
height.
The basic idea is marked by the fact that in every vertical photograph
there are distances which are reflected in the photograph in the same scale in
spite of nadir distance. Among the many distances which respond to these con-
ditions there is also a particularly characteristic pair of distances, the socalled
“T”-figure. If two distances s’ and q’ form a T-figure in the photograph, both
lines of T-figure are distances which show the same scale in the photograph.
The only restricting condition is the requisition that the foot of the T coincides
by and large with the principal point. If there are two vertical photographs
which overlap lightly the T-figures may be used to determine the picture scale
of a distance s» in the second photograph, if the picture scale of another
distance s; in the first photograph is known. This is explained in the following
example:
The respective equations
are:
S S1 s so’
31 1 2 52
SET and ee > !
qi qu 2 q2 82
As qi! and q»' are pictures
of the same ground distance, /
we find: 72
/ /
$2.1
sp >.
Sı .Q2
Thus distance sa is deduced by triangulation from distance sı.
Considering a sequence of air photographs which are overlapping more
than 50% the distances of air polygon may be determined by means of T-
figures. À sequence of 5 air photographs serves as example:
4, 323 522; 3% ag 354
/ , / / +
^e 5 532. si fos $5
/ / / 7 7 /
S 32.S43.S 54 G 12 - G 23 . Q 34
S4 == Ze TA tn / / r^ / $1
S12.S23.S 34 G 32 . G 43 . G 54
As in each case the distances s' and q' do not differ strongly among them-
selves the method can be applied for measurement of distance parallaxes in the
photographs. The respective formula is:
The distance parallaxes can be measured stereoscopically and therefore
very accurately by a parallax micrometer screw. The tentative scale is hereby