Solving Algebraic Computaitonal problems in Geodesy and Geoinformatics : The Answer to Modern Challenges

Author(s)

    • Awange, Joseph L.
    • Grafarend, Erik, W.

Bibliographic Information

Solving Algebraic Computaitonal problems in Geodesy and Geoinformatics : The Answer to Modern Challenges

Joseph L. Awange, Erik, W. Grafarend

Springer, c2005

Available at  / 4 libraries

Search this Book/Journal

Description and Table of Contents

Description

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.

Table of Contents

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.

by "Nielsen BookData"

Details

  • NCID
    BA72885337
  • ISBN
    • 354023425X
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xvii,333p
  • Size
    24cm
Page Top