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Applying the MDCT to image compression
Thesis (DSc (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2009.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2009
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| _version_ | 1867613900610994176 |
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| access_status_str | Open Access |
| author | Muller, Rikus |
| author2 | Herbst, B. M. |
| author_browse | Herbst, B. M. Muller, Rikus |
| author_facet | Herbst, B. M. Muller, Rikus |
| author_sort | Muller, Rikus |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (DSc (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2009. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/1197 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:43:29.841Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2009 |
| publishDateRange | 2009 |
| publishDateSort | 2009 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/1197 Applying the MDCT to image compression Muller, Rikus Herbst, B. M. Hunter, K. M. University of Stellenbosch. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics. Windowed modified DCT JPEG (Image coding standard) Discrete cosine transforms Image compression Dissertations -- Applied mathematics Theses -- Applied mathematics Thesis (DSc (Mathematical Sciences. Applied Mathematics))--University of Stellenbosch, 2009. The replacement of the standard discrete cosine transform (DCT) of JPEG with the windowed modifed DCT (MDCT) is investigated to determine whether improvements in numerical quality can be achieved. To this end, we employ an existing algorithm for optimal quantisation, for which we also propose improvements. This involves the modelling and prediction of quantisation tables to initialise the algorithm, a strategy that is also thoroughly tested. Furthermore, the effects of various window functions on the coding results are investigated, and we find that improved quality can indeed be achieved by modifying JPEG in this fashion. Doctoral 2009-02-11T15:33:56Z 2010-06-01T08:14:49Z 2009-02-11T15:33:56Z 2010-06-01T08:14:49Z 2009-03 Thesis http://hdl.handle.net/10019.1/1197 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Windowed modified DCT JPEG (Image coding standard) Discrete cosine transforms Image compression Dissertations -- Applied mathematics Theses -- Applied mathematics Muller, Rikus Applying the MDCT to image compression |
| title | Applying the MDCT to image compression |
| title_full | Applying the MDCT to image compression |
| title_fullStr | Applying the MDCT to image compression |
| title_full_unstemmed | Applying the MDCT to image compression |
| title_short | Applying the MDCT to image compression |
| title_sort | applying the mdct to image compression |
| topic | Windowed modified DCT JPEG (Image coding standard) Discrete cosine transforms Image compression Dissertations -- Applied mathematics Theses -- Applied mathematics |
| url | http://hdl.handle.net/10019.1/1197 |
| work_keys_str_mv | AT mullerrikus applyingthemdcttoimagecompression |