56
Evidently the errors of the relative orientation of the individual
models will become the main cause of the coordinate errors of the strip.
The errors will be accumulated through the transfer points.
We assume the photographs of the first model —1,0 to be fixed which
means that the twelve elements of the external orientation of the photo-
graphs —1,0 are known. The elements of the external orientation of
each photograph in the triangulated strip will then be affected with
errors with respect to the photographs —1,0 as a result of the accumula-
tion of the errors from the triangulation. The sources of errors are
primarily the accidental errors of the y-parallax corrections (measure-
ments) and of the setting of the floating mark.
3.1. The error accumulation formulae
The basic error accumulation formulae for aerial triangulation were
derived by BACHMANN 1946. The errors of the elements of the relative
orientation of each photograph are denoted relative errors. These relative
errors accumulate in the triangulation procedure. The accumulated
errors of the elements of the external orientation of the photographs
with respect to the elements of the first model (— 1,0) are denoted
total errors.
According to BACHMANN 1946 the basic error accumulation formulae
of aerial triangulation are with minor changes of signs (fig. 8)
i=n
Dx, — X dx. (211)
i-1
Dy, = 3 dy, (212)
i 1
Da, == 2 do, (213)
i=1
Dby, =" +b In — t)dx, + 2X dby, (214)
i=1 i=1
Dbz, — — b X (n —i)dp, + X dbz. (215)
i=1 i=1
DX ; vn [^ p? \ b 1
)X -b XY 31] T ; .-—
" # |o he | h = 4) 4p,
bh i=n b i=n :
— À (2 n — 22 + 1) dbz. — X (n—35-F1)4H, , (216)
b C à; b.