TY - JOUR UR - http://lib.ugent.be/catalog/pug01:2132596 ID - pug01:2132596 LA - eng TI - On the decomposition of interval-valued fuzzy morphological operators PY - 2010 JO - (2010) JOURNAL OF MATHEMATICAL IMAGING AND VISION SN - 0924-9907 PB - 2010 AU - Mélange, Tom WE02 802000057630 AU - Nachtegael, Mike CA03 AU - Sussner, Peter AU - Kerre, Etienne AB - Interval-valued fuzzy mathematical morphology is an extension of classical fuzzy mathematical morphology, which is in turn one of the extensions of binary morphology to greyscale morphology. The uncertainty that may exist concerning the grey value of a pixel due to technical limitations or bad recording circumstances, is taken into account by mapping the pixels in the image domain onto an interval to which the pixel's grey value is expected to belong instead of one specific value. Such image representation corresponds to the representation of an interval-valued fuzzy set and thus techniques from interval-valued fuzzy set theory can be applied to extend greyscale mathematical morphology. In this paper, we study the decomposition of the interval-valued fuzzy morphological operators. We investigate in which cases the [alpha (1),alpha (2)]-cuts of these operators can be written or approximated in terms of the corresponding binary operators. Such conversion into binary operators results in a reduction of the computation time and is further also theoretically interesting since it provides us a link between interval-valued fuzzy and binary morphology. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 2132596 | ||
005 | 20180813141456.0 | ||
008 | 120605s2010------------------------eng-- | ||
022 | a 0924-9907 | ||
024 | a 000274710100005 2 wos | ||
024 | a 1854/LU-2132596 2 handle | ||
024 | a 10.1007/s10851-009-0185-7 2 doi | ||
040 | a UGent | ||
245 | a On the decomposition of interval-valued fuzzy morphological operators | ||
260 | c 2010 | ||
520 | a Interval-valued fuzzy mathematical morphology is an extension of classical fuzzy mathematical morphology, which is in turn one of the extensions of binary morphology to greyscale morphology. The uncertainty that may exist concerning the grey value of a pixel due to technical limitations or bad recording circumstances, is taken into account by mapping the pixels in the image domain onto an interval to which the pixel's grey value is expected to belong instead of one specific value. Such image representation corresponds to the representation of an interval-valued fuzzy set and thus techniques from interval-valued fuzzy set theory can be applied to extend greyscale mathematical morphology. In this paper, we study the decomposition of the interval-valued fuzzy morphological operators. We investigate in which cases the [alpha (1),alpha (2)]-cuts of these operators can be written or approximated in terms of the corresponding binary operators. Such conversion into binary operators results in a reduction of the computation time and is further also theoretically interesting since it provides us a link between interval-valued fuzzy and binary morphology. | ||
598 | a A1 | ||
100 | a Mélange, Tom u WE02 0 802000057630 0 002002327247 9 F8707190-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Nachtegael, Mike u CA03 u CA05 0 801001249135 9 F57AD048-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Sussner, Peter | ||
700 | a Kerre, Etienne u WE02 0 801000205272 9 F358CFA4-F0ED-11E1-A9DE-61C894A0A6B4 | ||
650 | a Mathematics and Statistics | ||
653 | a SET-THEORY | ||
653 | a DUALITY | ||
653 | a Interval-valued fuzzy sets | ||
653 | a Mathematical morphology | ||
653 | a Decomposition | ||
653 | a MATHEMATICAL MORPHOLOGIES | ||
773 | t JOURNAL OF MATHEMATICAL IMAGING AND VISION g J. Math. Imaging Vis. 2010. 36 (3) p.270-290 q 36:3<270 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/2132596/file/2605674 z [ugent] y Melange_2010_JMIV_36_3_270.pdf | ||
920 | a article | ||
Z30 | x WE 1 WE02 | ||
922 | a UGENT-WE |
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