501
Ps î
Fig. 6.
fh
II
n + 1
— b • dp • n •
(8)
2 fh n
- bn (n + 1)
(9)
Applicating this correction vve should get correct heights in an ideal
case.
b z for each photograph should correspond to true statoscop values.
The correction for the curvature of the earth in photogrammetry
The following account is intended to give a simple derivation of the
influence of the curvature of the earth in photogrammetric height
measurements and the possibility and result of a correction for this
effect. For a more detailed study of this problem reference is made to
Ohlin [7].
With minor approximations the following relations are valid.
According to Fig. 5 the distance between a point P on the earth and
a tangent plane is
dh = —
(10)
In an arbitrary point in
the tangent point we have
dh rr
a coordinate system (x, y) with origin in
X 2 + y 2
2R
/
(11)