Summary of a paper for Commission III (Aerial triangulation)
STEREOBLOCK ADJUSTMENT
This paper outlines an approach to the problem of aerial
triangulation suitable for a medium-sized electronic computer
such as Pegasus,
1. Size of store hinders simultaneous least squares adjustment
of a large block of photographs; but individual stereogram
adjustment, followed by a strip & block formation, does not fully
utilise points comnon to several overlaps, and local distortions
renain "frozen" in the final combined model, :
The block therefore to be subdivided into "stereoblocks" of
nine photographs (3x3) and each rigorously adjusted by least squares
as a single unit, Adjusted stereoblocks can then be Joined together
analytically (while retaining internal geometric structure), or
would be immediately suitable for Jerie type adjustment,
2 Stereoblock to be adjusted internally by variation of
coordinates, Each observation equation has as nine variables the
Cartesian space coordinates of two photo points and an air station,
while its constant term is the discrepancy between the "observed"
space angle in the photo system and that computed from provisional
space coordinates,
The nine coefficients are obtained by substitution in the
formula:
d s I |f$p-s Lt
pexsep prp 7 8.8 T
where r,8 are vectors (X-U,Y-V,Z-W) & (X'-U,Y'-V,Z'-W) from the
air station (U,V,W) to the photo points (X,Y,Z), (X',Y',Z').
Constant term is:
P. S 3 e T.08
dr +
2
(20)? | Go metr ay rey)? - rx]
(r.r)(s.8) | XX €yy €^ res
where (x,y), (x',y') are photo coordinates and f is focal length,
Hence, apart from two square roots, all operations are of
simple multiplication, division etc. - very convenient for an
electronic computer,
3 lo preserve linearity of the expression for de, residuals in
observation equations must be less than about 15' of arc. A method
of arriving at provisional space coordinates sufficiently accurate
for this purpose is discussed, It involves computing approximate
coordinates and then improving these by a simple method of using
the formulae for de (given earlier) and d^e in terms of dr, ds.
4, For n photo points on a photograph, (2n-2) space angles for
the (2n-3) observation equations must be so chosen that, if one of
the residuals is large, then the observation may be rejected at this
Stage with minimum disturbance to rest of scheme. A very convenient
method using principal point as additional "spurious" photo point
is indicated,