Browse > Article
http://dx.doi.org/10.7848/ksgpc.2015.33.4.231

A Comparative Analysis of 3D Circle Fitting Algorithms for Determination of VLBI Antenna Reference Point  

Hyuk Gil, Kim (Dept. of Civil & Environmental Eng., Sungkyunkwan University)
Jin Sang, Hwang (Dept. of Civil & Environmental Eng., Sungkyunkwan University)
Hong Sik, Yun (Dept. of Civil & Environmental Eng. Sungkyunkwan University)
Tae Jun, Jeong (Dept. of Civil & Environmental Eng. Sungkyunkwan University)
Publication Information
Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography / v.33, no.4, 2015 , pp. 231-244 More about this Journal
Abstract
The accuracy of reference point of VLBI antenna is mandatory to perform collocation of different space geodetic techniques. In this study, we evaluated the optimal methods for the 3D circle fitting to enhance the accuracy of the reference point of VLBI antenna. Two kinds of methodologies for the orthonormal coordinate system with translation of planar observation point and the unitary coordinate transforamation were suggested and their fitting accuracies were evaluated where the orthogonal distance was calculated by residual between observation point and fitting model and the recursive calculation was performed to improve the accuracy of 3D circle fitting. Finally, we found that the methodology for the unitary coordinate transformation is highly appropriate to determine the optimal equation for azimuth-axis and elevation-axis of VLBI antenna. Therefore, the reference point of VLBI antenna with high accuracy can be determined by the intersection of the above two axises (azimuth-axis and elevation-axis). This result is expected to be utilized for a variety of researches for connection between VLBI observation results and the national control point.
Keywords
3D Circle Fitting; Co-location; VLBI; Antenna Reference Point;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Niell, A., Whitney, A., Petrachenko, B., Schlüter, W., Vandenberg, N., Hase, H., Koyama, Y., Ma, C., Schuh, H., and Tuccari, G. (2006), VLBI2010: Current and Future Requirements for Geodetic VLBI Systems, NASA/TP-2006–214136, International VLBI Service for Geodesy and Astrometry, Greenbelt, Maryland, USA, pp. 13-40.
2 Sarti, P., Sillard, P., and Vittuari, L. (2004), Surveying co-located space-geodetic instruments for ITRF computation, Journal of Geodesy, Vol. 78, Issue. 3, pp. 210-222.   DOI
3 Wikipedia contributors (2015), Unitary matrix, Wikipedia, The Free Encyclopedia, http://en.wikipedia.org/w/index.php?title=Unitary_matrix&oldid=646875700 (last date accessed: 23 March 2015).
4 Zou, H., Hastie, T., and Tibshirani, R. (2006), Sparse principal component analysis, Journal of Computational and Graphical Statistics, Vol. 15, Issue. 2, pp. 265-286.   DOI
5 Altamimi, Z., Sillard, P., and Boucher, C. (2002), ITRF2000: a new release of the International Terrestrial Reference Frame for earth science applications, Journal of Geophysical Research: Solid Earth (1978–2012), Vol. 107, No. 10, pp. 1-19.
6 Carroll, R. and Ruppert, D. (1996), The use and misuse of orthogonal regression in linear errors-in-variables models, The American Statistician, Vol. 50, No. 1, pp. 1-6.
7 Dawson, J., Sarti, P., Johnston, G.M., and Vittuari, L. (2007), Indirect approach to invariant point determination for SLR and VLBI systems: an assessment, Journal of Geodesy, Vol. 81, Issue. 6-8, pp. 433-441.   DOI
8 Eschelbach, C. and Haas, R. (2003), The IVS-reference point at Onsala–high end solution for a real 3D-determination, Proceedings of 16th Working Meeting on European VLBI for Geodesy and Astrometry, EVGA, 9-10 May, Leipzig, Germany, pp. 109-118.
9 Johnston, G., Dawson, J., and Naebkhil, S. (2004), The 2003 Mount Stromlo Local Tie Survey, Record 2004/20, Geoscience Australia, Canberra, Australia, pp. 8-10.
10 Kallio, U. and Poutanen, M. (2010), Simulation of local tie accuracy on VLBI antennas, Proceedings of IVS 2010 General Meeting, IVS, 07-13 February, Hobart, Tasmania, Australia, pp. 360-364.
11 Lösler, M. (2009), New mathematical model for reference point determination of an azimuth-elevation type radio telescope, Journal of Surveying Engineering, Vol. 135, Issue. 4, pp. 131-135.   DOI
12 Lösler, M. and Hennes, M. (2008), An innovative mathematical solution for a time-efficient IVS reference point determination, Proceedings of 4th IAG Symposium on Geodesy for Geotechnical and Structural Engineering, IAG, 12-15 May, Lisbon, Portugal, pp. 12-15.