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Dependence structures in multidimensional arrays
Dissertation (MSc)--University of Pretoria, 2016.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2017
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| _version_ | 1867613688768233472 |
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| access_status_str | Open Access |
| author2 | Fabris-Rotelli, Inger Nicolette |
| author_browse | Fabris-Rotelli, Inger Nicolette |
| author_facet | Fabris-Rotelli, Inger Nicolette |
| collection | Thesis |
| dc_rights_str_mv | © 2017 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 2016. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/60821 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:07.894Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/60821 Dependence structures in multidimensional arrays Fabris-Rotelli, Inger Nicolette u10174100@tuks.co.za Lau, Kwok-Ho UCTD Dissertation (MSc)--University of Pretoria, 2016. In the process of data acquisition the information obtained are more than often contaminated by noise. To purify the data smoothers are designed to remove the noise. The LULU operators are such smoothers, more speci cally, they are designed to remove impulsive noise. Carl Rohwer and his collaborators devel- oped the LULU operators in one dimension in the last four decades and, more recently, the operators have been extended to higher dimensions by Roumen Anguelov and Inger Fabris-Rotelli [2]. The prop- erties in shape preservation and total variation preservation are extended from one-dimensional LULU operators. This allows for smoothing with the operators in images. However, because their de nition uses a morphological concept of a connection, the question of how complex the connectivity should be therefore arises. Using the results from correlation analysis, we explore the extent at which the pixels of an image depend on its neighbours and establish the complexity of the connectivity for LULU operators in two-dimensions. In addition, as a measure of how e ective the LULU smoothers remove noise, we examine the noise extractions by the operators for images. Statistics MSc Unrestricted 2017-06-05T12:10:58Z 2017-06-05T12:10:58Z 2017-04-21 2016 Dissertation Lau, K 2016, Dependence structures in multidimensional arrays, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/60821> A2017 http://hdl.handle.net/2263/60821 en © 2017 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Dependence structures in multidimensional arrays |
| title | Dependence structures in multidimensional arrays |
| title_full | Dependence structures in multidimensional arrays |
| title_fullStr | Dependence structures in multidimensional arrays |
| title_full_unstemmed | Dependence structures in multidimensional arrays |
| title_short | Dependence structures in multidimensional arrays |
| title_sort | dependence structures in multidimensional arrays |
| topic | UCTD |
| url | http://hdl.handle.net/2263/60821 |