Solving Algebraic Computational Problems in Geodesy and Geoinformatics The Answer to Modern Challenges /

• Main Authors: Awange, Joseph L. (Author), Grafarend, Erik W. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Subjects: Earth sciences.; Geophysics.; Geography.; Geographical information systems.; Earth Sciences.; Geophysics/Geodesy.; Earth Sciences, general.; Geographical Information Systems/Cartography.; Geography, general.

While preparing and teaching ‘Introduction to Geodesy I and II’ to - dergraduate students at Stuttgart University, we noticed a gap which motivated the writing of the present book: Almost every topic that we taughtrequiredsomeskillsinalgebra,andinparticular,computeral- bra! From positioning to trans...

Table of Contents:

• Basics of Ring Theory
• Basics of Polynomial Theory
• Groebner Basis
• Polynomial Resultants
• Gauss-Jacobi Combinatorial Algorithm
• Local versus Global Positioning Systems
• Partial Procrustes and the Orientation Problem
• Positioning by Ranging
• From Geocentric Cartesian to Ellipsoidal Coordinates
• Positioning by Resection Methods
• Positioning by Intersection Methods
• GPS Meteorology in Environmental Monitoring
• Algebraic Diagnosis of Outliers
• Transformation Problem: Procrustes Algorithm II
• Computer Algebra Systems (CAS).