The comparison and evaluation of different mathematical models for deformation analysis

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dc.contributor.advisorRüther, Heinzen_ZA
dc.contributor.advisorJackson, Jen_ZA
dc.contributor.authorGoullee, Robert Julesen_ZA
dc.date.accessioned2016-09-25T16:50:28Z
dc.date.available2016-09-25T16:50:28Z
dc.date.issued1984en_ZA
dc.descriptionBibliography: pages 124-125.en_ZA
dc.description.abstractIn the analysis of deformations using geodetic techniques, the errors in point positions due to observation errors must be distinguished from movements due to actual deformation. A number of models are available, which offer solutions to this problem. In this study, four of such methods are described and compared: 1. Method using Invariant Functions. 2. Method using Direct Comparison of Co-ordinates. 3. Method using Direct Differences. 4. Method using Niemeier's Comparison of Co-ordinates. The introduction of "false" deformations, caused by errors in translation, rotation and scale, is a very real problem which may be eliminated by processes such as the use of invariant functions (distances and angles) and the sound construction of constraint points. Niemeier's solution to this problem is the use of a free network adjustment which forces the new network into a best fit of the provisional co-ordinates, which generally would be the final co-ordinates of a previous epoch. Although the model advocated for the first three methods above is the minimum constraint adjustment, the free network adjustment may also be used. Similarly, the minimum constraints technique may be employed for Niemeier's method, subject to some necessary modifications. The four methods have thus been compared using both adjustment techniques also. The four methods using both adjustment techniques as well as some variations of methods 1. and 2. above are evaluated using a series of nine simulated test epochs, one reference and eight other, to which known deformations were applied. From the results obtained from the various epochs, the methods are examined for reliability, accuracy and suitability.en_ZA
dc.identifier.apacitationGoullee, R. J. (1984). <i>The comparison and evaluation of different mathematical models for deformation analysis</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics. Retrieved from http://hdl.handle.net/11427/21926en_ZA
dc.identifier.chicagocitationGoullee, Robert Jules. <i>"The comparison and evaluation of different mathematical models for deformation analysis."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics, 1984. http://hdl.handle.net/11427/21926en_ZA
dc.identifier.citationGoullee, R. 1984. The comparison and evaluation of different mathematical models for deformation analysis. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Goullee, Robert Jules AB - In the analysis of deformations using geodetic techniques, the errors in point positions due to observation errors must be distinguished from movements due to actual deformation. A number of models are available, which offer solutions to this problem. In this study, four of such methods are described and compared: 1. Method using Invariant Functions. 2. Method using Direct Comparison of Co-ordinates. 3. Method using Direct Differences. 4. Method using Niemeier's Comparison of Co-ordinates. The introduction of "false" deformations, caused by errors in translation, rotation and scale, is a very real problem which may be eliminated by processes such as the use of invariant functions (distances and angles) and the sound construction of constraint points. Niemeier's solution to this problem is the use of a free network adjustment which forces the new network into a best fit of the provisional co-ordinates, which generally would be the final co-ordinates of a previous epoch. Although the model advocated for the first three methods above is the minimum constraint adjustment, the free network adjustment may also be used. Similarly, the minimum constraints technique may be employed for Niemeier's method, subject to some necessary modifications. The four methods have thus been compared using both adjustment techniques also. The four methods using both adjustment techniques as well as some variations of methods 1. and 2. above are evaluated using a series of nine simulated test epochs, one reference and eight other, to which known deformations were applied. From the results obtained from the various epochs, the methods are examined for reliability, accuracy and suitability. DA - 1984 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1984 T1 - The comparison and evaluation of different mathematical models for deformation analysis TI - The comparison and evaluation of different mathematical models for deformation analysis UR - http://hdl.handle.net/11427/21926 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/21926
dc.identifier.vancouvercitationGoullee RJ. The comparison and evaluation of different mathematical models for deformation analysis. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,School of Architecture, Planning and Geomatics, 1984 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/21926en_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.otherSurveyingen_ZA
dc.titleThe comparison and evaluation of different mathematical models for deformation analysisen_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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