Network Densification - Problems and Solutions

des Instituts für Geodäsie

Heft 7/1982

Network Densification
Problems and Solutions

Walter M. WELSCH
Munich, Federal Republic of Germany


In: BORRE, Kai / WELSCH, Walter M. (Eds.) [1982]:
International Federation of Surveyors - FIG -
Proceedings Survey Control Networks
Meeting of Study Group 5B, 7th-9th July, 1982, Aalborg University Centre, Denmark

Schriftenreihe Wissenschaftlicher Studiengang Vermessungswesen, Hochschule der Bundeswehr München, Heft 7, Neubiberg, S. 401-414.



Problems of network densification circle around some aspects which crystallize clearly from the bibliography. These aspects are subject of the paper.

In contrast to very large or free networks, with densification networks the boundary value problem of the given reference frame exists. Therefore, the theorist may interpret network densification as a general task of interpolation. From this point of view accuracy and reliability, partly also efficiency and practicability are criteria of the network structure or aims of optimization efforts.

However, in practice inhomogeneity and inaccuracy as well as unknown stochastic properties of the reference points cause difficult and delicate problems. On this account a great deal of the theoretical and practical treatises deal intensively with investigations how to get the densification points fitted into the given reference frame as smoothly as possible according to the respective purpose. This endeavor leads frequently to far-reaching consequences for the quality of the densification network, but results only exceptionally in an improvement or in a dynamic renovation of the existing frame network - a goal being essential from the theoretical point of view.

Thus, planning, performing, and evaluating network densification means considering the pros and cons of both theory and practice.

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