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Optimization and Design of Geodetic Networks

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Erik W. Grafarend

    1. Geodätisches Institut, Universität Stuttgart, Stuttgart 1, Germany

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  2. Fernando Sansò

    1. Fotogrammetria e Geofisica, Istituto di Topografia, Milano, Italy

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (19 papers)

  1. Front Matter

    Pages I-XVII
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  2. Introduction

    • E. W. Grafarend
    Pages 1-5

  3. Review of Network Designs: Criteria, Risk Functions, Design Ordering

    • G. Schmitt
    Pages 6-10

  4. Zero Order Design: Generalized Inverses, Adjustment, the Datum Problem and S-Transformations

    • P. Teunissen
    Pages 11-55

  5. First Order Design: Optimization of the Configuration of a Network by Introducing Small Position Changes

    • K. R. Koch
    Pages 56-73

  6. Second Order Design

    • G. Schmitt
    Pages 74-121

  7. Third Order Design

    • G. Schmitt
    Pages 122-131

  8. Numerical Methods in Network Design

    • P. A. Cross
    Pages 132-168

  9. Some Additional Informations on the Capacity of the Linear Complementarity Algorithm

    • D. Fritsch
    Pages 169-184

  10. Quick Computation of Geodetic Networks Using Special Properties of the Eigenvalues

    • W. D. Schuh
    Pages 185-195

  11. Estimability Analyses of the Free Networks of Differential Range Observations to GPS Satellites

    • D. Delikaraoglou
    Pages 196-220

  12. Optimization Problems in Geodetic Networks with Signals

    • A. Dermanis
    Pages 221-256

  13. Fourier Analysis of Geodetic Networks

    • H. Sünkel
    Pages 257-300

  14. Continuous Networks I

    • E. W. Grafarend, F. W. Krumm
    Pages 301-341

  15. Continuous Networks II

    • B. Benciolini
    Pages 342-362

  16. Criterion Matrices for Deforming Networks

    • E. W. Grafarend
    Pages 363-428

  17. A Criterion Matrix for Deforming Networks by Multifactorial Analysis Techniques

    • F. Crosilla
    Pages 429-435

  18. The Analysis of Time Series with Applications to Geodetic Control Problems

    • F. Sansò
    Pages 436-525

  19. Quality Control in Geodetic Networks

    • P. J. G. Teunissen
    Pages 526-547

  20. Aspects of Network Design

    • B. Schaffrin
    Pages 548-597
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About this book

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.

Editors and Affiliations

  • Geodätisches Institut, Universität Stuttgart, Stuttgart 1, Germany

    Erik W. Grafarend

  • Fotogrammetria e Geofisica, Istituto di Topografia, Milano, Italy

    Fernando Sansò

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