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    A note on the use of Gauss' formulas in non-linear goedetic adjustment.

    Access Status
    Fulltext not available
    Authors
    Teunissen, Peter
    Date
    1985
    Type
    Journal Article
    
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    Citation
    Teunissen, P.J.G. 1985. A note on the use of Gauss' formulas in non-linear geodetic adjustment. Journal of Statistics and Decisions. (2): pp. 455-466.
    Faculty
    Department of Spatial Sciences
    URI
    http://hdl.handle.net/20.500.11937/5432
    Collection
    • Curtin Research Publications
    Abstract

    The theory of adjustment is usually expounded by algebraic and analytical methods. It is well known, however, that the theory of linear adjustment can be represented simply and directly, using geometric reasoning, as properties of linear spaces. In Geodesy, geometric reasoning was already advocated by Tienstrat (1948), who used the Ricci calculus. Generalizing, the theory of non-linear adjustment can then be represented as properties of curved manifolds. In this note we show the principal role played by Gauss' formulas, known from differential geometry, in Gauss' method of least-squares. In particular we show the significance of AMS 1980 subject classification: 62P99, 62F10, 86A30.

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