33
tion in a correct way and with particular respect to the redundant
transfer points. In general at least three transfer points seem to be
desirable.
1.222. The error accumulation in the triangulation strip
Next we will investigate how the errors of the individual pairs of
photographs accumulate through the strip when the individual pairs
are connected according to the procedure which was described above.
The error transformation between adjacent pairs of photographs is
evidently performed by the elements of transformation dx, dy, dx and
db
b
Again we assume the base of the first pair of photographs (— 1,0) to
be preliminarily fixed. The errors of the center points of the individual
photographs along the strip (0,1,2..... n—1,n,n + 1) will be expressed
in terms of the errors of the elements of transformation from simple
summation formulae. In this way the errors of the individual center
points of the photographs will be expressed with respect to the center
points —1,0 of the first pair of photographs. 'The total errors of the
center points of a certain pair of photographs will be denoted with
capital D. The relative errors between adjacent pairs of photographs
will as usual be denoted with small d.
The individual errors of the elements of transformation dz,., dy,., dx
2 V
and db will evidently be added from transformation to transformation.
For the pair of photographs »— 1,» (fig. 1) we obtain
i=n
Da, Q7 2 dx, (107)
Uo dl
i=n
Dy, 1,7 À dy, ds (108)
? i=l
1 n
Dx 1272 dx ii (109)
HU i 1 i ‚U
i n
Db a db ii (110)
HU i 1 J
dx, and dy, according to (107) and (108) for ¢ = 1 refer to the center
point 0 in the pair of photographs 0,1. Only in the pair of photographs
1,0 the center point 0 was assumed to be fixed.
A.