In: Bretar F, Pierrot-Deseilligny M, Vosselman G (Eds) Laser scanning 2009, IAPRS, Vol. XXXVIII, Part 3AV8 - Paris, France, September 1-2, 2009
282
IMUs are substituted for low-cost micro-electromechanical sys
tems (MEMS).
Finally, variance information does not only indicate the quality
of a scan process. It is an important component for the process of
interpretation and analysing. In case of determining parameters
of a model and relating stochastics, reliable input quantities are
needed to get meaningful estimated parameters.
The short scanning time of current laser scanners is ideally suited
to scan objects multi-temporally. These data are often acquired
from variable positions and different scanners. To compare the
states, the distinct conditions have to be taken into account, if
changes are to be evaluated stochastically. The additional in
formation enhances the flexibility to process multi-temporal and
multi-scaled laser scans.
Future work aims to develop and investigate approaches of the
unscented transformation and modifications of the incremental
propagation to minimise the number of points where to calculate
the Jacobian and Hessian. Besides the influences of scanner and
referencing, further studies should include the scanning geome
try. Therefore, an integrated mathematical model has to be set up
including geometric parameters such as the angle of incident, etc.
To consider more influences, the observation space has to be en
larged. Thus, efficient variance propagation is necessary to re
duce the increasing demands on computation - and to provide a
basis for a qualitative processing of laser scanning data.
Lichti, D. D., Gordon, S. J. and Tipdecho, T., 2005. Error models
and propagation in directly georeferenced terrestrial laser scanner
networks. Journal of Surveying Engineering 4, pp. 135-142.
Pfeifer, N. and Briese, C., 2007. Geometrical aspects of airborne
laser scanning and terrestrial laser scanning. In: ISPRS Work
shop on Laser Scanning 2007 and SilviLaser 2007, Vol. XXXVI,
Part 3, pp. 311-319.
Reshetyuk, Y., 2009. Self-calibration and direct georeferencing
in terrestrial laser scanning. PhD thesis, KTH - Royal Institute of
Technology, Stockholm, Sweden.
Schaer, P, Skaloud, J., Landtwing, S. and Legat, K., 2007. Ac
curacy estimation for laser point cloud including scanning ge
ometry. In: 5th International Symposium on Mobile Mapping
Technology, Padua, Italy.
Schulz, T„ 2007. Calibration of a Terrestrial Laser Scanner for
Engineering Geodesy. PhD thesis, ETH Zuerich.
Vennegeerts, H., Martin, J., Becker, M. and Kutterer, H., 2008.
Validation of a kinematic laserscanning system. Journal of Ap
plied Geodesy 2, pp. 79-84.
Vennegeerts, H., Martin, J., Paffenholz, J.-A. and Kutterer,
H., 2009. Zwei Varianten zur direkten Georeferenzierung ter
restrischer Laserscans. Photogrammetrie Fernerkundung Geoin-
formation (PFG) 1, pp. 31-40.
REFERENCES
Dominger, P., Nothegger, C., Pfeiffer, N. and Molnar, G., 2008.
On-the-job detection and correction of systematic cyclic distance
measurement errors of terrestrial laser scanners. Journal of Ap
plied Geodesy 2, pp. 191-204.
Grafarend, E. W. and Schaffrin, B., 1993. Ausgleichungsrech-
nung in linearen Modellen. BI, Wissenschaftsverlag, Mannheim.
Griewank, A. and Walther, A., 2008. Evaluating Derivatives:
Principles and Techniques of Algorithmic Differentiation. Other
Titles in Applied Mathematics, 2nd edn, SIAM, Philadelphia, PA.
GUM, 1995. Uncertainty of measurement - part 3: Guide to
the expression of uncertainty in measurement. Technical Report
ISO/IEC Guide 98-3:2008, International Organization for Stan
dardization ISO.
Julier, S. J., 2003. The spherical simplex unscented transforma
tion. In: Proceedings of the American Control Conference, vol.
3, pp. 2430-2434.
Julier, S. J. and Uhlmann, J. K., 1997. A new extension of the
kalman filter to nonlinear systems. In: SPIE AeroSense Sympo
sium Orlando.
Koch, K.-R., 1999. Parameter Estimation and Hypothesis Testing
in Linear Models. 2 edn, Springer-Verlag Berlin.
Koch, K.-R., 2008. Determining uncertainties of correlated mea
surements by monte carlo simulations applied to laserscanning.
Journal of Applied Geodesy 2, pp. 2008.
Li, W.-C., Wei, P. and Xiao, X.-C., 2007. A novel simplex un
scented transform and filter. In: International Symposium on
Communications and Information Technologies (ISCIT 2007),
pp. 926-930.