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Second-order design of combined linear-angular geodetic networks
Abstract The paper deals with the solution of the weight problem for linear-angular networks on the base of criterion matrices. The observation plan of combined linear-angular networks consists of distances as well as of directions in any form. In particular the role of criterion matrices of completely isotropic structure for this type of two-dimensional network is discussed. Starting from an extreme network design, the results of a least-squares approximation are described analytically. In this case, the observation plan contains all geometrical point connections. Finally, the considerations are completed by giving as an example the second-order design of a control network for a dam of a water reservoir.
Second-order design of combined linear-angular geodetic networks
Abstract The paper deals with the solution of the weight problem for linear-angular networks on the base of criterion matrices. The observation plan of combined linear-angular networks consists of distances as well as of directions in any form. In particular the role of criterion matrices of completely isotropic structure for this type of two-dimensional network is discussed. Starting from an extreme network design, the results of a least-squares approximation are described analytically. In this case, the observation plan contains all geometrical point connections. Finally, the considerations are completed by giving as an example the second-order design of a control network for a dam of a water reservoir.
Second-order design of combined linear-angular geodetic networks
Müller, H. (author)
Bulletin géodésique ; 59
1985
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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