Abstract
A new theory and methodology that allows improving the knowledge of geodetic networks uncertainty has been developed.
This new approach provides the uncertainty figures not only in the observed stations and their correlatives but also at any point of the network space. To this end, the variances and covariances, known in several points, will be taken as a reference and, from that information and after the appropriate transformation, the corresponding value of any point in the network will be estimated.
The methodology is completed with the uncertainty modeling by means of a contour map of the expected error in the whole network. Finally, the theory is applied to a real network.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baarda, W. (1973). S-Transformations and criterion matrices, Netherlands Geodetic Commission, 5 (1). Delft.
Caspary, W.F., W. Haen and H. Borutta (1990). Deformation analysis by statistical methods. Technometrics, 32 (1).
Chueca, M., J.L. BernĂ©, A.B. Anquela and S. Baselga (2001) Avances en la interpretaciĂ³n de resultados en redes locales. Recintos de error. Ed. Universidad PolitĂ©cnica de Valencia, Valencia.
Hekimoglu, S., H. Demirel and C. Aydin (2002). Reliability of the conventional deformation analysis methods for vertical networks. Proc. of XXII FIG Internacional Congress, Washington, D.C. (USA).
Richardus, P. (1984). Project surveying. General adjustment and optimisation techniques with applications to engineering surveying. Ed. AA. Balkema, Rotterdam.
Schaffrin, B. (1989). Fiducial versus fixed points in the GPS network approach. Proc. of the 5th International Geodetic Symposium on Satellite Positioning, Vol. 1, pp. 500–511.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chueca, M., Baselga, S., BernĂ©, J.L., Maestro, I.C. (2006). Uncertainty Modeling in Local Geodetic Networks. In: SansĂ², F., Gil, A.J. (eds) Geodetic Deformation Monitoring: From Geophysical to Engineering Roles. International Association of Geodesy Symposia, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38596-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-38596-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38595-0
Online ISBN: 978-3-540-38596-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)