Optimization and design of geodetic networks [Libro electrónico] / editores: Erik W. Grafarend, Fernando Sansò

Incluye bibliografía e índice: páginas 598-606

1. Introduction.. 2. Review of network designs: criteria, risk functions, design ordering.. 3. Zero order design: generalized inverses, adjustment, the datum problem and s-transformations.. 4. First order design: optimization of the configuration of a network by introducing small position changes.. 5. Second order design.. 6. Third order design.. 7. Numerical methods in network design.. 8. Some additional informations on the capacity of the linear complementarity algorithm.. 9. Quick computation of geodetic networks using special properties of the eigenvalues.. 10. Estimability analyses of the free networks of differential range observations to GPS satellites.. 11. Optimization problems in geodetic networks with signals.. 12. Fourier analysis of geodetic networks.. 13. Continuous networks I.. 14. Continuous networks II.. 15. Criterion matrices for deforming networks.. 16. A criterion matrix for deforming networks by multifactorial analysis techniques.. 17. The analysis of time series with applications to geodetic control problems.. 18. Quality control in geodetic networks.. 19. Aspects of network design.. Subject Index

Disponible para usuarios de ECOSUR con su clave de acceso

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. eng

Disponible en línea

Disponible en formato PDF

Subscripción a ELSEVIER 26 de diciembre del 2013