Skip to main content
SpringerLink
Log in

Pre-zero-epoch covariance matrix in sequential analysis of deformations

  • Published:
Bulletin Géodésique Aims and scope Submit manuscript

Abstract

A sequential adjustment procedure is proposed for the direct estimation of point—velocities in deformation analysis networks. At any intermediate stage of the adjustment the up-to-date covariance matrix of those velocities tells the evolving story of the network in terms of solvability and reliability.

A pre-zero-epoch covariance matrix is utilized for a smooth and flexible treatment of two characteristic problems of deformation analysis:

  • - high turnover of points in the network

  • - processing variable and generally incomplete observational batches.

A small numerical example is presented at the end as an illustration.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. GHITAU and H. WOLF, 1983: “Relativ Modelle für die Geodätische Bestimmung von Erdbebengebiet”. ZfV, Heft 4, 108 Jahrg.

  2. U.I. MARKUSE, 1981: “Analysis and Adjustment of Geodetic Networks without Forming Normal Equations”. Izvestia V.U.Z. Geodesia i Aerofotosiemka, No. 3.

  3. P. MEISSL, 1969: “Zusammenfassung und Ausbau der inneren Fehlertheorie eines Punkthaufens” in “Beiträge zur Theorie der Geodätischen Netze im Raum” by Rinner, Killian and Meissl, D.G.K. Reihe A, No. 61.

  4. H. PAPO and A. PERELMUTER, 1981: “Datum Definition by Free Net Adjustment”. Bulletin Géodésique, Vol 55, No. 3.

  5. H. PAPO and A. PERELMUTER, 1982: “Free Net Analysis in Close Range Photogrammetry”. Photogrammetric Engineering and Remote Sensing, Vol. 48, No. 4.

  6. H PAPO and A. PERELMUTER, 1982: “Densification of a Network as a Special Case of Deformation Analysis” in “Survey Control Networks”. Editors: K. Borre and W.M. Welsch, Heft 7, pp. 301–308, Hochschule der Bundeswehr, Munich.

    Google Scholar 

  7. H. PAPO and A. PERELMUTER, 1983: “Vierdimensionale Analyse von Deformationen”. ZfV, Heft 2, 108 Jahrg.

  8. H. PAPO and A. PERELMUTER, 1983: “Densification of Geodetic Networks in Four Dimensions”, XVII Congress of FIG, Sofia.

  9. H. PAPO and A. PERELMUTER, 1983: “Reparametrization of Deformation Analysis”. Manuscripta Geodetica, Vol. 8, No. 1.

  10. A. PERELMUTER, 1979: “Adjustment of Free Networks”. Bulletin Géodésique, Vol. 53, No. 4.

  11. A. PERELMUTER and H. PAPO, 1983: “Velocities or Displacements”, in “Deformationsanalysen’ 83”. Editor: W. Welsch, Heft 9, pp. 255–265, Hochschule der Bundeswehr, Munich.

    Google Scholar 

  12. T. SAITO, 1978: “Sequential Solution with the Bandtype System of Observation Equations”. Bulletin Géodésique, Vol. 52, No. 1.

  13. U.A. UOTILA, 1973: “Sequential Solutions with Observation Equations” Dept. of Geod. Science, Ohio State Univ’ (unpublished).

  14. H. WOLF, 1977: “Eindeutige und mehrdeutige geodätische Netze”. Abh. d. Braunschw. Wiss. Gesellsch., Band 28, Göttingen.

  15. G. ZLATANOV, 1982: “The Increment Method”, in “Survey Control Networks”, Editors: K. Borre and W.M. Welsch, Heft 7, pp. 415–428, Hochschule der Bundeswehr, Munich.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Civil Eng., Technion, 32000, Haifa, Israel

    H. B. Papo

  2. Dept. of Geodesy and Cartography, Univ. of Tel Aviv, Ramat Aviv, Israel

    A. Perelmuter

Authors
  1. H. B. Papo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Perelmuter
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Papo, H.B., Perelmuter, A. Pre-zero-epoch covariance matrix in sequential analysis of deformations. Bull. Geodesique 58, 75–83 (1984). https://doi.org/10.1007/BF02521758

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02521758

Keywords

Search

Navigation