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    Algebraic Geodesy and Geoinformatics

    Access Status
    Fulltext not available
    Authors
    Awange, Joseph
    Grafarend, E.
    Palancz, B.
    Zaletnyik, P.
    Date
    2010
    Type
    Book
    
    Metadata
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    Citation
    Awange, J. and Grafarend, E. and Palancz, B. and Zaletnyik, P. 2010. Algebraic Geodesy and Geoinformatics. 2 ed.. Berlin, Germany: Springer.
    ISBN
    9783642121234
    School
    Department of Spatial Sciences
    URI
    http://hdl.handle.net/20.500.11937/23258
    Collection
    • Curtin Research Publications
    Abstract

    The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems. Numerous examples are illustrated with Mathematica using the computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants (including Dixon resultants), Gauss-Jacobi combinatorial and Procrustes algorithms, as well as homotopy methods. While these problems are traditionally solved by approximate methods, this book presents alternative algebraic techniques based on computer algebra tools. This new approach meets such modern challenges as resection by laser techniques, solution of orientation in Robotics, transformation and bundle block adjustment in Geoinformatics, densification of Engineering networks, analytical solution for GNSS-meteorology and many other problems. For Mathematicians, the book provides some practical examples of the application of abstract algebra and multidimensional scaling. The extra electronic material contains Mathematica notebooks with computational illustrations and application packages to solve for real life problems in Geodesy and Geoinformatics such as resection, intersection, and orientation problems.

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