t B5. Istanbul 2004
) images per bundle)
/ AR-modification)
d InputB LME
successful random
.ME result within a
bundles considering
[E result in a range
of LME values the
mparative diagram
es) are exemplarily
are overlaid by the
displayed with dark
ference scales to a
es, the distribution
distribution curves
nla ions
:e scales
lues this resulting
ation process works
dified bundles. This
distributed output
ie point of origin.
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B5. Istanbul 2004
5. CONCLUSIONS
The simulation process introduced by this article allows the
random modification of predefined input bundles. The
generation of normal distributed values for the simulation
process provides a defined number of photogrammetric
bundles, which represent possible real bundle configurations.
The results of the simulation process based on different input
bundles show the successful implementation of the described
simulation routine. The presented results are basis for further
investigations, which are explicitly possible due to the
simulation process. The Monte-Carlo-Method provides an
economical process where the effects can be separated and
modelled within an acceptable period of time an amount of
work.
As a result of the successful simulation method for
photogrammetric bundles, single effects of the different
systems components can separately be changed. The advantage
of this method is implied in the possibility to modify specific
parameters. For instance, systematic effects can be applied and
the influence can be modelled for analysing purposes. The
separation of the effects included to the process chain of optical
measurement techniques can therefore be controlled under
laboratory investigations and be supported by practical
experiments. The bundles are only influenced by one single
effect whose impact can then be determined of the bundle
adjustments results.
6. FURTHER INVESTIGATIONS
Due to finite-dimensional samples first the student's
distribution will be applied to the simulation process. Likewise
the distribution of image measurements need to be verified
within practical trials and investigations of different
illumination, signalization and image measurement techniques.
The distribution of image coordinates is not dependent on the
coordinate directions (x, y), but dependent on the imaging angle
o (Fig. 16).
Figure 16. Imaging angle
The practical experiments and investigations will be linked to
the simulation process in order to separate the influences.
Additionally the research will focus on the availability of high
precise reference coordinates with regard to the verification
concerning the German Guideline VDI/VDE 2634 for optical
3D measurement systems and their process chain component
specifications.
7. REFERENCES
Cox, M. G., Dainton, M. P., Harris, P. M. (2001): Software
Specifications for Uncertainty Calculation and Associated
Statistical Analysis; NPL Report CMSC 10/01
Dold, J. (1997): Ein hybrides photogrammetrisches
Industriemesssystem höchster Genauigkeit und seine
Überprüfung; Schriftenreihe Universität der Bundeswehr
München, Heft 54
Fraser, C.S. (1984): Network Design Considerations for Non-
Topographic Photogrammetry; PE&RS Vol. 50, No. 8
Graf, Henning, Stange, Wilrich (1998): Formeln und Tabellen
der angewandten mathematischen Statistik, Springer Verlag
Hastedt, H., Luhmann, Th., Tecklenburg, W. (2002): Image-
variant interior orientation and sensor modelling of high-quality
digital cameras; ISPRS Congress Com. V, Corfu
Narasimhan, B. (1996): The Normal Distribution; http://www-
stat.stanford.edu/~naras/jsm/NormalDensity/NormalDensity.ht
ml
Raguse, K., Wiggenhagen, M. (2003): Beurteilung der
Optischen Messkette durch Simulation der
Aufnahmekonfiguration; Publikationen der DGPF, Band 12
Rautenberg, U., Wiggenhagen, M. (2002): Abnahme und
Überwachung photogrammetrischer Messsysteme nach VDI
2634, Blatt 1; PFG, Nr. 2/2002, S. 117-124
Robert, C. P., Casella, G. (2002): Monte Carlo Statistical
Methods; Springer-Verlag
Schmitt, G. (1977): Monte-Carlo-Design geodátischer Netze;
AVN(84), 87-94, Heft 3/1977
Schwenke, H. (1999): Abschátzung von Mehfunsicherheiten
durch Simulation an Beispielen aus der Fertigungsmefitechnik;
PTB-Bericht: F-36
VDVVDE 2634 (2001): Optical 3-D measuring systems —
Imaging systems with point-by-point probing, VDI, Düsseldorf
Zinndorf, S. (1986): Optimierung der photogrammetrischen
Aufnahmeanordnung; DGK, Reihe C, Heft Nr. 323