Free adjustment of a triangulation net

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dc.contributor.advisorMerry, Charlesen_ZA
dc.contributor.authorJackson, Jonathanen_ZA
dc.date.accessioned2016-02-01T10:00:20Z
dc.date.available2016-02-01T10:00:20Z
dc.date.issued1976en_ZA
dc.description.abstractIt is often useful to determine the measures of precision of the directly observed quantities in a triangulation net. Provided the net is not strained these measures are unique to a particular set of observations and weights. Unique measures for the precision of the indirectly observed quantities cannot be found by classical means although several ad hoc approaches can be used to approximate to this measure of the 'inherent strength' of a net. Bjerhammar's theory of generalised matrix inverses can be used to derive measures of precision for the indirectly observed quantities, which may be interpreted as reflecting the inherent strength of the net. The theory of adjustment of a triangulation net by the method of variation of co-ordinates is described, followed by an explanation of the theory bf generalised inverses. Methods for the practical derivation of particular inverses are described, following Mittermayer. The characteristics of Normal, Transnormal and Stochastic Ring inverses in solution of Normal equations BX = R, are described.en_ZA
dc.identifier.apacitationJackson, J. (1976). <i>Free adjustment of a triangulation net</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics. Retrieved from http://hdl.handle.net/11427/16626en_ZA
dc.identifier.chicagocitationJackson, Jonathan. <i>"Free adjustment of a triangulation net."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics, 1976. http://hdl.handle.net/11427/16626en_ZA
dc.identifier.citationJackson, J. 1976. Free adjustment of a triangulation net. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Jackson, Jonathan AB - It is often useful to determine the measures of precision of the directly observed quantities in a triangulation net. Provided the net is not strained these measures are unique to a particular set of observations and weights. Unique measures for the precision of the indirectly observed quantities cannot be found by classical means although several ad hoc approaches can be used to approximate to this measure of the 'inherent strength' of a net. Bjerhammar's theory of generalised matrix inverses can be used to derive measures of precision for the indirectly observed quantities, which may be interpreted as reflecting the inherent strength of the net. The theory of adjustment of a triangulation net by the method of variation of co-ordinates is described, followed by an explanation of the theory bf generalised inverses. Methods for the practical derivation of particular inverses are described, following Mittermayer. The characteristics of Normal, Transnormal and Stochastic Ring inverses in solution of Normal equations BX = R, are described. DA - 1976 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1976 T1 - Free adjustment of a triangulation net TI - Free adjustment of a triangulation net UR - http://hdl.handle.net/11427/16626 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/16626
dc.identifier.vancouvercitationJackson J. Free adjustment of a triangulation net. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics, 1976 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/16626en_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.otherGeomaticsen_ZA
dc.titleFree adjustment of a triangulation neten_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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