N-ary Mathematical Morphology
International audience Mathematical morphology on binary images can be fully de-scribed by set theory. However, it is not sucient to formulate mathe-matical morphology for grey scale images. This type of images requires the introduction of the notion of partial order of grey levels, together with th...
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ftminesparistech:oai:HAL:hal-01104191v1 2024-05-19T07:42:45+00:00 N-ary Mathematical Morphology Chevallier, Emmanuel Chevallier, Augustin Angulo, Jesus Centre de Morphologie Mathématique (CMM) Mines Paris - PSL (École nationale supérieure des mines de Paris) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL) École normale supérieure - Cachan (ENS Cachan) Re, Iceland 2015 https://hal.science/hal-01104191 https://hal.science/hal-01104191/document https://hal.science/hal-01104191/file/n-aryMorphology_ismm15_v4.pdf https://doi.org/10.1007/978-3-319-18720-4_29 en eng HAL CCSD info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-18720-4_29 hal-01104191 https://hal.science/hal-01104191 https://hal.science/hal-01104191/document https://hal.science/hal-01104191/file/n-aryMorphology_ismm15_v4.pdf doi:10.1007/978-3-319-18720-4_29 info:eu-repo/semantics/OpenAccess International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing https://hal.science/hal-01104191 International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, 2015, Re, Iceland. pp.339-350, ⟨10.1007/978-3-319-18720-4_29⟩ [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing info:eu-repo/semantics/conferenceObject Conference papers 2015 ftminesparistech https://doi.org/10.1007/978-3-319-18720-4_29 2024-04-25T00:50:46Z International audience Mathematical morphology on binary images can be fully de-scribed by set theory. However, it is not sucient to formulate mathe-matical morphology for grey scale images. This type of images requires the introduction of the notion of partial order of grey levels, together with the denition of sup and inf operators. More generally, mathemati-cal morphology is now described within the context of the lattice theory. For a few decades, attempts are made to use mathematical morphology on multivariate images, such as color images, mainly based on the no-tion of vector order. However, none of these attempts has given fully satisfying results. Instead of aiming directly at the multivariate case we propose an extension of mathematical morphology to an intermediary situation: images composed of a nite number of independent unordered categories. Conference Object Iceland MINES ParisTech: Open Archive (HAL) 339 350 |
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[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing |
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[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing Chevallier, Emmanuel Chevallier, Augustin Angulo, Jesus N-ary Mathematical Morphology |
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[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing |
description |
International audience Mathematical morphology on binary images can be fully de-scribed by set theory. However, it is not sucient to formulate mathe-matical morphology for grey scale images. This type of images requires the introduction of the notion of partial order of grey levels, together with the denition of sup and inf operators. More generally, mathemati-cal morphology is now described within the context of the lattice theory. For a few decades, attempts are made to use mathematical morphology on multivariate images, such as color images, mainly based on the no-tion of vector order. However, none of these attempts has given fully satisfying results. Instead of aiming directly at the multivariate case we propose an extension of mathematical morphology to an intermediary situation: images composed of a nite number of independent unordered categories. |
author2 |
Centre de Morphologie Mathématique (CMM) Mines Paris - PSL (École nationale supérieure des mines de Paris) Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL) École normale supérieure - Cachan (ENS Cachan) |
format |
Conference Object |
author |
Chevallier, Emmanuel Chevallier, Augustin Angulo, Jesus |
author_facet |
Chevallier, Emmanuel Chevallier, Augustin Angulo, Jesus |
author_sort |
Chevallier, Emmanuel |
title |
N-ary Mathematical Morphology |
title_short |
N-ary Mathematical Morphology |
title_full |
N-ary Mathematical Morphology |
title_fullStr |
N-ary Mathematical Morphology |
title_full_unstemmed |
N-ary Mathematical Morphology |
title_sort |
n-ary mathematical morphology |
publisher |
HAL CCSD |
publishDate |
2015 |
url |
https://hal.science/hal-01104191 https://hal.science/hal-01104191/document https://hal.science/hal-01104191/file/n-aryMorphology_ismm15_v4.pdf https://doi.org/10.1007/978-3-319-18720-4_29 |
op_coverage |
Re, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing https://hal.science/hal-01104191 International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, 2015, Re, Iceland. pp.339-350, ⟨10.1007/978-3-319-18720-4_29⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-18720-4_29 hal-01104191 https://hal.science/hal-01104191 https://hal.science/hal-01104191/document https://hal.science/hal-01104191/file/n-aryMorphology_ismm15_v4.pdf doi:10.1007/978-3-319-18720-4_29 |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.1007/978-3-319-18720-4_29 |
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339 |
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350 |
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