(470)
the reports of the international congress in Rome. There I indicated the same.
I also agree with the fact that the application of the theory of least squares is
only exact after the elimination of systematical errors. The value of the french
method is that the instrumental errors are eliminated as well as possible. I
admire that and also the improvement of the results that has been obtained.
The difficult problem that remains concerns the so-called local systematicial
errors or jumps. If it is true that by the method of Poivilliers these errors can
be eliminated it is not necessary for Mr. Bonneval to include them in his paper.
The result would be directly accessible to the application of the least squares. For
me the question is still open if the elimination according to Poivilliers is indeed
applicable. In this respect I want to refer to the experiments with the lottery-
tickets published by Prof. Roelofs at the Congress in 1948. Until now these
results are not definitely refuted. Prof. Roelofs explains the presence of local
systematical errors mainly as an accumulation of accidental errors. In this case
his compensation method is fully applicable.
Mr. Bonneval: It is quite natural to try to eliminate the influence of
systematical errors by the working method. But I don’t believe that in the
actual state of technical development any of the practically used triangulation
methods may claim to have obtained this result. Those developed by Mr. Poi-
villiers, even if they give a contribution to the solution of the problem, have
certainly not solved it completely. In photogrammetry as in every observation
science every systematical error, even the smallest, is serious because it is syste-
matical. It seems to me to be necessary to dispose of a procedure that permits
to show, by an examination of the obtained results, the residual systematical
errors of all kinds and that permits to correct the observations before the ap-
plication of any compensation process, that is based on the exclusive existence
of accidental errors.
Mr. Reading: It is evident from all our experiences that there are three
kinds of errors, the systematic which we can measure and correct for, the acci-
dental repetitive errors which generally follow the Gaussian distribution, and
larger excessive errors that occur at odd intervals. The systematic and acci-
dental errors we can eliminate by computation and adjustment to terminal
control; the excessive occasional errors give us trouble. In terrestrial trian-
gulation we have quadrilaterals or other figures which give us the power
by certain extra conditions such as excessive departures from mean, triangle
closures, or side equations to reject the measurements with excessive errors due
to excessive refraction or other unknown causes. Thus if a pointing with a
theodolite differs by more than five seconds from the mean, if our triangles
fail to close within one second in first order triangulation, we reobserve under
different conditions.
It is evident that in spatial air triangulation, we must find similar addi-
tional conditions which will enable us to detect and safely reject the excessive
errors. Whether the transverse parallax test disclosed by M. Poivilliers is suf-
ficient we shall all be eager to test. Whether the procedures recommended by
Mr. Bonneval or the elegant mathematical solutions of Prof. Roelofs are the
most practical also require tests by others.
As pointed out by Mr. Santoni there are available certain aids in his solar
photography and in horizon photography as practiced in Finland, which give