MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE
The use of mathematical morphology in the CIE L*a*b* colour space is discussed. It is possible to impose a total order on the colour vectors in this space by using a weighting function and lexicographical order. An order analogous to one by colour saturation is suggested by making use of a weighting...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Slovenian Society for Stereology and Quantitative Image Analysis
2011-05-01
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| Series: | Image Analysis and Stereology |
| Subjects: | |
| Online Access: | http://www.ias-iss.org/ojs/IAS/article/view/714 |
| _version_ | 1818000936919891968 |
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| author | Allan Hanbury Jean Serra |
| author_facet | Allan Hanbury Jean Serra |
| author_sort | Allan Hanbury |
| collection | DOAJ |
| description | The use of mathematical morphology in the CIE L*a*b* colour space is discussed. It is possible to impose a total order on the colour vectors in this space by using a weighting function and lexicographical order. An order analogous to one by colour saturation is suggested by making use of a weighting function based on an electrostatic potential. This weighting function assigns a lower weight to colour vectors near the colours with maximum chroma, and higher weights to colour vectors near the lightness axis. The use of morphological operators with the colour vector order imposed by this function is demonstrated. Finally, a top-hat operator making use of the Euclidean colour distance in the L*a*b* space is introduced. |
| first_indexed | 2024-04-14T03:27:27Z |
| format | Article |
| id | doaj.art-994231d2d31c4e028cc334e81aedd4b7 |
| institution | Directory Open Access Journal |
| issn | 1580-3139 1854-5165 |
| language | English |
| last_indexed | 2024-04-14T03:27:27Z |
| publishDate | 2011-05-01 |
| publisher | Slovenian Society for Stereology and Quantitative Image Analysis |
| record_format | Article |
| series | Image Analysis and Stereology |
| spelling | doaj.art-994231d2d31c4e028cc334e81aedd4b72022-12-22T02:15:06ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652011-05-0121320120610.5566/ias.v21.p201-206686MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACEAllan HanburyJean SerraThe use of mathematical morphology in the CIE L*a*b* colour space is discussed. It is possible to impose a total order on the colour vectors in this space by using a weighting function and lexicographical order. An order analogous to one by colour saturation is suggested by making use of a weighting function based on an electrostatic potential. This weighting function assigns a lower weight to colour vectors near the colours with maximum chroma, and higher weights to colour vectors near the lightness axis. The use of morphological operators with the colour vector order imposed by this function is demonstrated. Finally, a top-hat operator making use of the Euclidean colour distance in the L*a*b* space is introduced.http://www.ias-iss.org/ojs/IAS/article/view/714CIE L*a*b* colour spacelexicographical ordermathematical morphology |
| spellingShingle | Allan Hanbury Jean Serra MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE Image Analysis and Stereology CIE L*a*b* colour space lexicographical order mathematical morphology |
| title | MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE |
| title_full | MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE |
| title_fullStr | MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE |
| title_full_unstemmed | MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE |
| title_short | MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE |
| title_sort | mathematical morphology in the cielab space |
| topic | CIE L*a*b* colour space lexicographical order mathematical morphology |
| url | http://www.ias-iss.org/ojs/IAS/article/view/714 |
| work_keys_str_mv | AT allanhanbury mathematicalmorphologyinthecielabspace AT jeanserra mathematicalmorphologyinthecielabspace |