Algebraic Geodesy and Geoinformatics

  • Joseph L. Awange
  • Erik W. Grafarend
  • Béla Paláncz
  • Piroska Zaletnyik

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
    Pages 1-5
  3. Algebraic symbolic and numeric methods

    1. Front Matter
      Pages 7-7
    2. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 9-16
    3. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 17-32
    4. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 33-47
    5. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 49-62
    6. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 63-77
    7. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 79-99
    8. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 101-110
    9. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 111-135
  4. Applications to geodesy and geoinformatics

    1. Front Matter
      Pages 137-137
    2. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 139-153
    3. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 155-171
    4. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 173-216
    5. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 217-248
    6. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 249-263
    7. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 265-287
    8. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 289-301
    9. Joseph L. Awange, Erik W. Grafarend, Béla Paláncz, Piroska Zaletnyik
      Pages 303-338

About this book

Introduction

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 combinatorial and Procrustes algorithms, as well as homotopy methods. While 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 GNSS-meteorology and many other problems. For Mathematicians, the book provides some practical examples of the application of abstract algebra and multidimensional scaling.

Keywords

Algebraic computations Engineering GIS Photogrammetry Surveying computer algebra geodesy geoinformatics robotics

Authors and affiliations

  • Joseph L. Awange
    • 1
  • Erik W. Grafarend
    • 2
  • Béla Paláncz
    • 3
  • Piroska Zaletnyik
    • 4
  1. 1.Dept. Environmental Earth SciencesMaseno UniversityMasenoKenya
  2. 2.Geodätisches InstitutUniversität StuttgartStuttgartGermany
  3. 3.Technology & Economics, Dept. Photogrammetry & GeoinformaticsBudapest University ofBudapestHungary
  4. 4.Technology & Economics, Dept. Geodesy & SurveyingBudapest University ofBudapestHungary

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-12124-1
  • Copyright Information Springer Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Earth and Environmental Science
  • Print ISBN 978-3-642-12123-4
  • Online ISBN 978-3-642-12124-1
  • About this book