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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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Bibliographic Details
Main Authors: Awange, Joseph L., Grafarend, Erik W. (Author), Paláncz, Béla (Author), Zaletnyik, Piroska (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2010, 2010
Edition:2nd ed. 2010
Subjects:
Geographical Information System
Numerical Analysis
Computational Mathematics And Numerical Analysis
Mathematics / Data Processing
Geographic Information Systems
Earth Sciences
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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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