DEFORMATION ANALYSIS USING THE RESULTS
OF COMBINED ADJUSTMENTS
Dipl.-Ing.
Picht, Dr.-Ing. E. Kruck*
Institute for Photogrammetry and Engineering Surveys
Nienburgerstr. 1
0 ... 3000 Hannover 1
F.R .Germany
Commission V
·Carl
Oberkochen, F.R.G.
o
Summary
Deformations can be detected
analysing the results of bundleblock adjustments of two
epochs. A deformation analysis program is presented and its connection to the BINGO program
system is shown. One application is shown.
ZU1wmenfaSIUM
Deformationsanalysen konnen basierend auf Ergebnissen von BUndelblockausgleichungen
einzelner Beobachtungsepochen durchgefUhrt werden. Ein Analyseprogramm wird in seiner
Funktion und Verbindung zum Programmsystem BINGO beschrieben. Ein Anwendungsbei ...
spiel wird gegeben.
1
Introduction
Using geodetic networks to find out deformations of objects is a well known technic, but
this kind of observation has technical and economical limits. The use of photogrammetry
makes the monitoring of objects very flexible with respect to measurement speed, number
of object points and repeating rate. For that reason a program is developped, optimized
for this special data source. It processes information obtained by bundle block adjustment.
Adlultment 9f. photoqrammetrlc data
In a photogrammetric adjustment usually a big amount of data (observations, unknowns)
has to be handled. Depending on the main application, several data reduction and optimization strategies can take place. A combined adjustment program like BINGO processes
photogrammetric data and other observations, e.g. distances, simultaneous and is therefore a optimal part of a deformation analysis program system. For combined adjustments
sparse matrices and profile minimization are recommended 11/. For deformation analysis
it is necessary to be able to access aU parts of the cofactor matrix of the unknowns.
V ... 311
matrix
2
unit
epochs. This can be tested by
variances are
from variance component
estimation
coordinates and the
fixed pOints. This
The datum for
matrices
I"'ft'll'!:illIf"'lI'nll"
of
S-matrix is computed as
and the cofactor
S::
I ...
(
G
where I : unity matrix
G: coefficients for transformation parameters
o
1, if
transformation then is
:: S x
(3)
:: S
epochs are
and
::
(4)
::
F
If
test Indicates
OtrrormC!atlOln is :l:Iin\IVJIMIAIl"'A in
1
presented
BINGO
1
oI:!o"''II''''~'a.lI''a
i
Practical relults
The gotic church MichaeUsklrche In Lueneburg Is the monitored object. It is build upon a
salt dome on a very irregular underground, which makes it impossible to predict movements. One observation epoch is done each year since 1984. 103 points are marked on
the walls and columns.
of the columns
visibility conditions are poor
so
about 90 photographs are necessary for a equal coverage . In addition 400 geodetic
measurements and other constraints are introduced in the adjustment. Approximatly 1100
unknowns are computed out of 3100 observations. The mean accuracy for coordinates is
mm.
each
is compared
the preceding one and the
epoch. Deformations
1
to 4 mm were ae1[ecte<l
i
Deformation analysis can be done very effective by using results of combined adjustments
of photogrammetric and geodetic data. Special optimizations have to
a
five handling of the big amount of data. They will
included in program DEPHO.
A'IIT'CIII"'_
I
llt.ature
111
Kruck, E.
121
Niemeier, W.
Pelzer,
Uisung groBer Gleichungssysteme fUr photogrammetrlsche Blockausgleichungen mit erweltertem funktionalem Modell, Wiss. Arb.
Fachr. Verm.wesen d. Univ. Hannover Nr. 128, Hannover, 1983
Deformationsanalyse In: Geodatische Netze in Landes- und Ingenieurvermessung II , H. Pelzer (ed.), Wittwer, Stuttgart, 1985
Analyse
Deformationsmessungen,
Geodat.
90, 1983
UIner, I.
1