Algebraic Geodesy and Geoinformatics

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 combinatoria...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Awange, Joseph L. (Autor), Grafarend, Erik W. (Autor), Paláncz, Béla (Autor), Zaletnyik, Piroska (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edición:2nd ed. 2010.
Temas:
Geographic information systems.
Earth sciences.
Numerical analysis.
Mathematics-Data processing.
Geographical Information System.
Earth Sciences.
Numerical Analysis.
Computational Mathematics and Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Algebraic symbolic and numeric methods
  • Basics of ring theory
  • Basics of polynomial theory
  • Groebner basis
  • Polynomial resultants
  • Linear homotpy
  • Solutions of Overdetermined Systems
  • Extended Newton-Raphson method
  • Procrustes solution
  • Applications to geodesy and geoinformatics
  • LPS-GNSS orientations and vertical deflections
  • Cartesian to ellipsoidal mapping
  • Positioning by ranging
  • Positioning by resection methods
  • Positioning by intersection methods
  • GNSS environmental monitoring
  • Algebraic diagnosis of outliers
  • Datum transformation problems.

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