Algebraic Geodesy and Geoinformatics

• Main Authors: Awange, Joseph L. (Author), Grafarend, Erik W. (Author), Palǹcz, Bľa. (Author), Zaletnyik, Piroska. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Subjects: Geography.; Mathematical geography.; Remote sensing.; Geographical information systems.; Computer science > Mathematics.; Earth Sciences.; Computer Applications in Earth Sciences.; Geographical Information Systems/Cartography.; Computational Mathematics and Numerical Analysis.; Remote Sensing/Photogrammetry.; Mathematical Applications in Earth Sciences.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-12124-1

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:

• Preface to the first edition
• Preface to the second editon
• Foreword
• Introduction
• Part I
• Algebraic symbolic and numeric methods
• Basics of Ring Theory
• Groebner Basis
• Polynomial resultants
• Linear homotopy
• Solutions of Overdetermined System
• Extended Newton-Raphson method
• Procrustes solution
• Part II Applications to geodesy and geoinformatics
• LPS-GPS orientations and vertical deections
• Cartesian to Ellipsoidal Mapping
• Positioning by ranging
• Positioning by resection methods
• Positioning by intersection methods
• GNSS meteorology in environmental monitoring
• Algebraic diagnosis of outliers
• Datum transformation problems
• Computer algebra systems (CAS)
• Appendix
• References
• Index.