Algebraic geodesy and geoinformatics

The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems illustrated with Mathematica using computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants including Dixonresultant, Gauss-Jacobi combinatorial and Procrustes algorithms as well as homotopy methods. 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 application of abstract algebra and multidimensional scaling. The accompanying CD-ROM contains Mathematica notebooks with computational illustrations and application packages to solve for real life problems in geodesy and geoinformatics as resection, intersection, orientation problems. Simplifies algebraic notions with examples from the fields of Geodesy and Geoinformatics in a simple and understandable way Supplies a hand-on problem-solving package for real-life applications Updated throughout with latest methods and their extensions to deliver a state-of-the-art toolbook INDICE: Preface to the first edition.- Preface to the second editon.- Foreword.- Introduction.- Part I.- Algebraic symbolic and numeric methods.- Basicsof 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 intersectionmethods.- GNSS meteorology in environmental monitoring.- Algebraic diagnosis of outliers.- Datum transformation problems.- Computer algebra systems (CAS).-Appendix.- References.- Index.

• ISBN: 978-3-642-12123-4
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 380
• Fecha Publicación: 01/06/2010
• Nº Volúmenes: 1
• Idioma: Inglés