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

Awange Joseph, L. und W. Grafarend Erik:

ISBN 10: 354023425X / ISBN 13: 9783540234258

Editore: Springer, 2004

Riguardo questo articolo

352 Seiten; 9783540234258.3 Gewicht in Gramm: 3. Codice articolo 652707

Dati bibliografici

Titolo: Solving Algebraic Computational Problems in ...

Casa editrice: Springer

Data di pubblicazione: 2004

Legatura: hardcover

Condizione: Gut

Descrizione articolo

Riassunto:

The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems using computer algebra techniques of Ring, polynomials, Groebner basis, resultants, Gauss-Jacobi combinatorial and Procrustes algorithms. Although these problems are traditionally solved by approximate methods, this book presents alternative algebraic techniques based on computer algebra tools. This new approach meets such modern challenges as resection by laser techniques, solution of orientation in robotics, transformation and bundle block adjustment in geoinformatics, densification of engineering networks, analytical solution for GPS-meteorology and many other problems. For mathematicians the book provides some practical examples of abstract algebra application and multidimensional scaling.

Contenuti:

Basics of Ring Theory.- Basics of Polynominal Theory.- Groebner Basis.- Polynomial Resultants.- Gauss-Jacobi Combinatorial.- Procrustes Algorithm.- Local (LPS) and Global Positioning Systems.- Positioning by Ranging.- Gauss Coordinates in Geometry and Gravity Space.- Positioning by Resection Method.- Positioning by Intersection Method.- Algebraic Approach to GPS Meteorology.- Algebraic Diagnosis of Outliers.- 7-Parameter Datum Conformal C7 Transformation.- Computer Algebra Software.