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Geodesy and Cartography

The Journal of Committee on Geodesy of Polish Academy of Sciences

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Analysis of the horizontal structure of a measurement and control geodetic network based on entropy

Maria Mrówczyńska
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  • University of Zielona Gora Faculty of Land and Environment Engineering Institute of Building Engineering 1 Szafrana St., 65-516 Zielona Gora, Poland
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Published Online: 2013-07-02 | DOI: https://doi.org/10.2478/geocart-2013-0002


The paper attempts to determine an optimum structure of a directional measurement and control network intended for investigating horizontal displacements. For this purpose it uses the notion of entropy as a logarithmical measure of probability of the state of a particular observation system. An optimum number of observations results from the difference of the entropy of the vector of parameters ΔH(x)corresponding to one extra observation. An increment of entropy interpreted as an increment of the amount of information about the state of the system determines the adoption or rejection of another extra observation to be carried out.


W pracy podjęto próbę określenia optymalnej struktury sieci kierunkowej pomiarowo-kontrolnej przeznaczonej do badań przemieszczeń poziomych. W tym celu wykorzystano pojęcie entropii jako logarytmicznej miary prawdopodobieństwa stanu określonego układu obserwacyjnego. Optymalna liczba realizowanych obserwacji wynika z różnicy entropii wektora parametrów ΔH(x) odpowiadającej jednej obserwacji nadliczbowej. Przyrost entropii interpretowany jako przyrost objętości informacji na temat stanu układu decyduje o przyjęciu względnie odrzuceniu do realizacji kolejnej obserwacji nadliczbowej.

Keywords: entropy; amount of information; geodetic network

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About the article

Published Online: 2013-07-02

Published in Print: 2013-06-01

Citation Information: Geodesy and Cartography, Volume 62, Issue 1, Pages 23–31, ISSN (Print) 2080-6736, DOI: https://doi.org/10.2478/geocart-2013-0002.

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