Algebraic Geodesy and Geoinformatics

• Main Authors: Awange, Joseph L. (Author), Grafarend, Erik W. (Author), Paláncz, Béla (Author), Zaletnyik, Piroska (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Subjects: Geography.; Earth sciences.; Geographical information systems.; Remote sensing.; Computer mathematics.; Numerical analysis.; Geographical Information Systems/Cartography.; Earth Sciences, general.; Numerical Analysis.; Computational Mathematics and Numerical Analysis.; Remote Sensing/Photogrammetry.

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...

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.