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Optimization and Design of Geodetic Networks

  • Erik W. Grafarend
  • Fernando Sansò

Table of contents

  1. Front Matter
    Pages I-XVII
  2. E. W. Grafarend
    Pages 1-5
  3. G. Schmitt
    Pages 74-121
  4. G. Schmitt
    Pages 122-131
  5. P. A. Cross
    Pages 132-168
  6. H. Sünkel
    Pages 257-300
  7. E. W. Grafarend, F. W. Krumm
    Pages 301-341
  8. B. Benciolini
    Pages 342-362
  9. E. W. Grafarend
    Pages 363-428
  10. P. J. G. Teunissen
    Pages 526-547
  11. B. Schaffrin
    Pages 548-597
  12. Back Matter
    Pages 598-606

About these proceedings

Introduction

During the period April 25th to May 10th, 1984 the 3rd Course of the International School of Advanced Geodesy entitled "Optimization and Design of Geodetic Networks" took place in Erice. The main subject of the course is clear from the title and consisted mainly of that particular branch of network analysis, which results from applying general concepts of mathematical optimization to the design of geodetic networks. As al­ ways when dealing with optimization problems, there is an a-priori choice of the risk (or gain) function which should be minimized (or maximized) according to the specific interest of the "designer", which might be either of a scientific or of an economic nature or even of both. These aspects have been reviewed in an intro­ ductory lecture in which the particular needs arising in a geodetic context and their analytical representations are examined. Subsequently the main body of the optimization problem, which has been conven­ tionally divided into zero, first, second and third order design problems, is presented. The zero order design deals with the estimability problem, in other words with the definition of which parameters are estimable from a given set of observa­ tions. The problem results from the fact that coordinates of points are not univocally determined from the observations of relative quantities such as angles and distances, whence a problem of the optimal choice of a reference system, the so-called "datum problem" arises.

Keywords

Design Optimization geodesy network analysis networks

Editors and affiliations

  • Erik W. Grafarend
    • 1
  • Fernando Sansò
    • 2
  1. 1.Geodätisches InstitutUniversität StuttgartStuttgart 1Germany
  2. 2.Fotogrammetria e GeofisicaIstituto di TopografiaMilanoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-70659-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-70661-5
  • Online ISBN 978-3-642-70659-2
  • Buy this book on publisher's site