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Combination of three dimensional geodetic networks using similarity transformations

Bibliography: pages 173-178.

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Main Author: Rens, Jan
Format: Thesis
Language:English
Published: School of Architecture, Planning and Geomatics 2016
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access_status_str Open Access
author Rens, Jan
author_browse Rens, Jan
author_facet Rens, Jan
author_sort Rens, Jan
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description Bibliography: pages 173-178.
format Thesis
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:34:14.045Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2016
publishDateRange 2016
publishDateSort 2016
publisher School of Architecture, Planning and Geomatics
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spelling oai:open.uct.ac.za:11427/17176 Combination of three dimensional geodetic networks using similarity transformations Rens, Jan Geodesy - Mathematical models Bibliography: pages 173-178. Classical terrestrial (horizontal and vertical) networks and Doppler satellite derived networks are combined in a three dimensional transformation adjustment by solving for the external bias parameters using any of the three standard seven parameter similarity transformation models, namely the Bursa, Molodensky and Veis models. The object of this combination may be merely to merge the systems or networks, but may additionally involve an attempt to assign physical meaning to the estimated bias parameters. These two aspects, and the influence of the a priori Variance-Covariance matrix of the observables on the parameters and their interpretation is studied in detail. An in-depth conceptual, mathematical and numerical comparative assessment of the three standard models is made. The homogeneity of the classical terrestrial South African networks is investigated by comparing the transformation parameter sets derived for different regions and sub-regions of the country. 2016-02-22T07:17:56Z 2016-02-22T07:17:56Z 1988 Master Thesis Masters MSc (Eng) http://hdl.handle.net/11427/17176 eng application/pdf School of Architecture, Planning and Geomatics Faculty of Engineering and the Built Environment University of Cape Town
spellingShingle Geodesy - Mathematical models
Rens, Jan
Combination of three dimensional geodetic networks using similarity transformations
thesis_degree_str Master's
title Combination of three dimensional geodetic networks using similarity transformations
title_full Combination of three dimensional geodetic networks using similarity transformations
title_fullStr Combination of three dimensional geodetic networks using similarity transformations
title_full_unstemmed Combination of three dimensional geodetic networks using similarity transformations
title_short Combination of three dimensional geodetic networks using similarity transformations
title_sort combination of three dimensional geodetic networks using similarity transformations
topic Geodesy - Mathematical models
url http://hdl.handle.net/11427/17176
work_keys_str_mv AT rensjan combinationofthreedimensionalgeodeticnetworksusingsimilaritytransformations