Errors-in-variables for mobile mapping algorithms in the presence of outliers

• Autorzy: Schaffrin B. , Uzun S.
• Języki publikacji: EN

Abstrakty

EN

A few years ago, Schaffrin and Iz (2008) generalized the traditional Kalman filter in such a way that it could handle observation equations with errors-in-variables. This approach led to what has since become known as Total Kalman Filtering (TKF). A drawback, however, was that the usual “data snooping” techniques were no longer applicable in the same manner. Therefore, in the presence of outliers, new search techniques need to be devised in order to accommodate for those errors-in-variables with non-zero expectations. In this contribution, an attempt will be described to prepare a suitable algorithm for this purpose in the context of mobile mapping.

Słowa kluczowe

EN

total least-squares; mobile mapping; GPS/INS; variable; outlier search

PL

Liczba najmniejszych kwadratów; system mobilny; GPS/INS; zmienna

• Wydawca: Zarząd Główny Stowarzyszenia Geodetów Polskich
• Czasopismo: Archiwum Fotogrametrii, Kartografii i Teledetekcji
• Rocznik: 2011
• Tom: Vol. 22
• Strony: 377--387
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Schaffrin B.

• School of Earth Sciences, The Ohio State University, Columbus, Ohio, U.S.A

autor

Uzun S.

• School of Earth Sciences, The Ohio State University, Columbus, Ohio, U.S.A

Bibliografia

• Baarda, W., 1968. A testing procedure for use in geodetic networks, Neth. Geodetic Comm., Public. On Geodesy, New Series Vol. 2, No.5, Delft/NL.
• Golub, G.H., and C.F. van Loan 1980. An analysis of the Total Least-Squares problem, SIAM J. Numer. Anal. 17, pp. 883-893.
• Grafarend, E., and B. Schaffrin 1993. Adjustment Computations in Linear Models (in German), Bibl. Inst.: Mannheim/Germany.
• Neitzel, F., and S. Petrovic 2008. Total Least-Squares (TLS) in the context of an adjusted straight-line, Z. fuer Vermessungswesen 133, pp. 141-148.
• Pope, A.J., 1972. Some pitfalls to be avoided in the iterative adjustment of nonlinear problems, Proc. of the 38th Ann. Meeting of the ACSM, Falls Church/VA. pp.449-473.
• Schaffrin, B., 2006. A note on Constrained Total Least-Squares estimation, Lin. Alg. Appls. 417, pp. 245-258.
• Schaffrin, B., 2007. Connecting the dots: The straight-line case revisited, Z. fuer Vermessungswesen 132, pp. 385-394.
• Schaffrin, B., I.P.Lee, Y. Felus and Y.S,Choi 2006. Total Least-Squares for geodetic straight-line and plane adjustment, Boll. Geod. Sci. Aff. 65, pp. 141-168.
• Schaffrin, B., and H. B. Iz 2008. Towards Total Kalman Filtering for mobile mapping, Intl. Archive Photogr., Rem. Sensing, Spatial Info. Sci., Vol.36, Part 5/C55, pp.270-275.
• Schaffrin, B., and S. Uzun 2011. On the reliability of Errors-In-Variables models, Acta et Commentat. Univ. Tartuensis de Matematica (ACTA), submitted in Nov. 2011.
• Wolf, P.R., and C.D. Ghilani, 1997. Adjustment Computations: Statistics and Least-Squares in Surveying and GIS. Wiley: NewYork/NY.