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The comparison and evaluation of different mathematical models for deformation analysis
Bibliography: pages 124-125.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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School of Architecture, Planning and Geomatics
2016
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| _version_ | 1867613144447188992 |
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| access_status_str | Open Access |
| author | Goullee, Robert Jules |
| author2 | Rüther, Heinz |
| author_browse | Goullee, Robert Jules Rüther, Heinz |
| author_facet | Rüther, Heinz Goullee, Robert Jules |
| author_sort | Goullee, Robert Jules |
| collection | Thesis |
| description | Bibliography: pages 124-125. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/21926 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:28.055Z |
| 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 |
| publisherStr | School of Architecture, Planning and Geomatics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/21926 The comparison and evaluation of different mathematical models for deformation analysis Goullee, Robert Jules Rüther, Heinz Jackson, J Surveying Bibliography: pages 124-125. 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. 2016-09-25T16:50:28Z 2016-09-25T16:50:28Z 1984 Master Thesis Masters MSc (Eng) http://hdl.handle.net/11427/21926 eng application/pdf School of Architecture, Planning and Geomatics Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Surveying Goullee, Robert Jules The comparison and evaluation of different mathematical models for deformation analysis |
| thesis_degree_str | Master's |
| title | The comparison and evaluation of different mathematical models for deformation analysis |
| title_full | The comparison and evaluation of different mathematical models for deformation analysis |
| title_fullStr | The comparison and evaluation of different mathematical models for deformation analysis |
| title_full_unstemmed | The comparison and evaluation of different mathematical models for deformation analysis |
| title_short | The comparison and evaluation of different mathematical models for deformation analysis |
| title_sort | comparison and evaluation of different mathematical models for deformation analysis |
| topic | Surveying |
| url | http://hdl.handle.net/11427/21926 |
| work_keys_str_mv | AT goulleerobertjules thecomparisonandevaluationofdifferentmathematicalmodelsfordeformationanalysis AT goulleerobertjules comparisonandevaluationofdifferentmathematicalmodelsfordeformationanalysis |