Bulletin géodésique

, Volume 54, Issue 4, pp 531–543 | Cite as

Second order design of a free distance network, considering different types of criterion matrices

  • G. Schmitt
Article

Summary

A numerically efficient solution strategy is developed for the second-order design of a free distance network. It is based on the fact that the direct (non-canonical) way has a regular least-squares solution. A flow chart illustrates the direct construction of the final equations, using a list of point coordinates and a list of projected distances as input. Results are shown for an actual network (11 points, 47 distances), considering different types of criterion matrices: Taylor-Karman structure with homogeneous-isotropic point error ellipses and special Taylor-Karman structure with isotropic relative error ellipses. Finally, the construction of a criterion-matrixQ x is briefly discussed in the case that a certain number of quantities shall be derived from the network.

Keywords

Geodetic Network Observation Plan Mixed Block Criterion Matrix Order Design 

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Copyright information

© Bureau Central de L'Association Internationale de Géodésie 1980

Authors and Affiliations

  • G. Schmitt
    • 1
  1. 1.Geodätisches Institut der Universität Karlsruhe (TH)KarlsruheBundesrepublik Deutschland

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