Interpolating a velocity field using multilevel B-splines

• Autorzy: Nuckelt A.
• Konferencja: Geodetic and Geodynamic Programmes of the CEI (Central European Initiative) / Procedings of the EGU G11 Symposium (15-20. 04. 2007; Vienna, Austria)
• Języki publikacji: EN

Abstrakty

EN

The estimation of regular velocity fields irregular distributed GPS stations corresponds to the problem of scattered data approximation with free from surfaces. The method of Multilevel B-spline Approximation is a powerful tool to solve this problem. The iterative evaluation of approximation surfaces leads to a best fit approximation of the station velocities. The algorithm for the Multilevel B-spline Approximation has to be extended by the methods of error propagation to evaluate statistically the quality of the interpolated velocity field. Multilevel B-spline Approximation is applied to generate a velocity field based on roughly 50 GPS stations in Romania. The investigation area includes several CEGRN stations, campaign stations in the framework of the COLLABORATIVE RESEARCH CENTER 461 "STRONG EARTHQUAKES" and a few permanent GPS stations. The application of the law of error propagation provides an opportunity to analyse the accuracy of the velocity field.

Słowa kluczowe

EN

B-spline; interpolating; velocity field; measuring systems

PL

B-spline; pole prędkości; system pomiarowy; interpolacja

• Wydawca: Wydział Geodezji i Kartografii Politechniki Warszawskiej
• Czasopismo: Reports on Geodesy
• Rocznik: 2007
• Tom: z. 2/83
• Strony: 55--64
• Opis fizyczny: Bibliogr. 7 poz., rys., wykr.

Twórcy

autor

Nuckelt A.

• Geodetic Institute, University of Karlsruhe, Germany,

Bibliografia

• Lee, S., Wolberg, G., Shin, S. Y., 1997: Scattered Data Interpolation with Multilevel B-Splines, IEEE Transactions on Visualization and Computer Graphics, Vol. 3, No. 3, p. 229-244
• Hugentobler, U.; Dach, R.; Fridez, P.; Meindl, M., 2005: Bernese GPS Software Version 5.0, Astronomical Institute, University of Berne
• Nuckelt, A,, 2006: Multilevel B-Spline Approximation zur Modeilierung von Geschwin-digkeitsfeldern, ZfV, Vol. 131, No. 4, 2006, p. 207-215
• Nuckelt, A., 2007: Dreidtmensionale Plattenkinematik in Rumänien: Strainanalyse auf B-Spline-Approximationsflächen, Ph.D. thesis at the Geodetic Institute, University of Karlsruhe, in preparation
• Sperner, B. & the CRC 461 team, 2005: Monitoring of Slab Detachment in the Carpaihians, in: Wenzel, F. (ed.): Perspectives in Modern Seismology, Springer-Verlag, p. 187-202
• Tarapoanca, M.; Bertotti, G.; Matenco, L., Dinu, C.; Cloetingh, S., 2003: Architecture of the Focsani depression: A 13 km deep basin in the Carpathians bend zone (Romania), Tectonics, Vol, 22, No. 6
• Weis, M. P., Lewis, R. R., 2001: A B-Spline N-Dimensional Package for Scattered Data Interpolation, Presentation at the Twelfth Western Computer Graphics Symposium, Sun Peaks, British Columbia, March 25.-28.