Combination of three dimensional geodetic networks using similarity transformations

dc.contributor.authorRens, Janen_ZA
dc.date.accessioned2016-02-22T07:17:56Z
dc.date.available2016-02-22T07:17:56Z
dc.date.issued1988en_ZA
dc.descriptionBibliography: pages 173-178.en_ZA
dc.description.abstractClassical 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.en_ZA
dc.identifier.apacitationRens, J. (1988). <i>Combination of three dimensional geodetic networks using similarity transformations</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics. Retrieved from http://hdl.handle.net/11427/17176en_ZA
dc.identifier.chicagocitationRens, Jan. <i>"Combination of three dimensional geodetic networks using similarity transformations."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics, 1988. http://hdl.handle.net/11427/17176en_ZA
dc.identifier.citationRens, J. 1988. Combination of three dimensional geodetic networks using similarity transformations. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Rens, Jan AB - 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. DA - 1988 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1988 T1 - Combination of three dimensional geodetic networks using similarity transformations TI - Combination of three dimensional geodetic networks using similarity transformations UR - http://hdl.handle.net/11427/17176 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/17176
dc.identifier.vancouvercitationRens J. Combination of three dimensional geodetic networks using similarity transformations. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics, 1988 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/17176en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentSchool of Architecture, Planning and Geomaticsen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherGeodesy - Mathematical modelsen_ZA
dc.titleCombination of three dimensional geodetic networks using similarity transformationsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMSc (Eng)en_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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