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Nonlocal and multivariate mathematical morphology
The generalization of mathematical morphology to multivariate images is addressed in this paper. The proposed approach is fully unsupervised and consists in constructing a complete lattice from an image as a rank transformation together with a learned ordering of vectors. This unsupervised ordering...
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| creator | Lezoray, O. Elmoataz, A. |
| description | The generalization of mathematical morphology to multivariate images is addressed in this paper. The proposed approach is fully unsupervised and consists in constructing a complete lattice from an image as a rank transformation together with a learned ordering of vectors. This unsupervised ordering of vectors relies on three steps: dictionary learning, manifold learning and out of sample extension. In addition to providing an efficient way to construct a vectorial ordering, nonlocal configurations based on color patches can be easily handled and provide much better results than with classical local morphological approaches. |
| doi_str_mv | 10.1109/ICIP.2012.6466812 |
| format | conference_proceeding |
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In addition to providing an efficient way to construct a vectorial ordering, nonlocal configurations based on color patches can be easily handled and provide much better results than with classical local morphological approaches.</description><subject>Dictionaries</subject><subject>Image color analysis</subject><subject>Laplace equations</subject><subject>Lattices</subject><subject>manifold learning</subject><subject>Manifolds</subject><subject>Mathematical morphology</subject><subject>Morphology</subject><subject>multivariate</subject><subject>nonlocal</subject><subject>Vectors</subject><issn>1522-4880</issn><issn>2381-8549</issn><isbn>1467325341</isbn><isbn>9781467325349</isbn><isbn>9781467325332</isbn><isbn>1467325325</isbn><isbn>9781467325325</isbn><isbn>1467325333</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><recordid>eNo1j8tKw1AURY8vMK39AHHSH0g859z3UIKPQFEHOi43ubcmkjQliUL_3op1stdgwYINcE2YEaG7LfLiNWMkzrTU2hKfwMIZS1IbwUoIPoWEhaXUKunOYPYvJJ1DQoo5ldbiJczG8RPxEBKUAD3327avfLv027Dsvtqp-fZD46e47PxUx8M0v7brh13dt_3H_gouNr4d4-LIObw_3L_lT-nq5bHI71ZpzYqn1Dhbeh-i1Y4NYzTG6BClsX7DKiihCH3JISBJiSUZIldiWVUqsLNaKjGHm79uE2Nc74am88N-fbwufgBkDEfl</recordid><startdate>201209</startdate><enddate>201209</enddate><creator>Lezoray, O.</creator><creator>Elmoataz, A.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope></search><sort><creationdate>201209</creationdate><title>Nonlocal and multivariate mathematical morphology</title><author>Lezoray, O. ; Elmoataz, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-h252t-798baade8692720e7776de478af25d53510ab2dd01440b17119b0bcc5d2986453</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Dictionaries</topic><topic>Image color analysis</topic><topic>Laplace equations</topic><topic>Lattices</topic><topic>manifold learning</topic><topic>Manifolds</topic><topic>Mathematical morphology</topic><topic>Morphology</topic><topic>multivariate</topic><topic>nonlocal</topic><topic>Vectors</topic><toplevel>online_resources</toplevel><creatorcontrib>Lezoray, O.</creatorcontrib><creatorcontrib>Elmoataz, A.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library Online</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lezoray, O.</au><au>Elmoataz, A.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Nonlocal and multivariate mathematical morphology</atitle><btitle>2012 19th IEEE International Conference on Image Processing</btitle><stitle>ICIP</stitle><date>2012-09</date><risdate>2012</risdate><spage>129</spage><epage>132</epage><pages>129-132</pages><issn>1522-4880</issn><eissn>2381-8549</eissn><isbn>1467325341</isbn><isbn>9781467325349</isbn><eisbn>9781467325332</eisbn><eisbn>1467325325</eisbn><eisbn>9781467325325</eisbn><eisbn>1467325333</eisbn><abstract>The generalization of mathematical morphology to multivariate images is addressed in this paper. 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| identifier | ISSN: 1522-4880 |
| ispartof | 2012 19th IEEE International Conference on Image Processing, 2012, p.129-132 |
| issn | 1522-4880 2381-8549 |
| language | eng |
| recordid | cdi_ieee_primary_6466812 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Dictionaries Image color analysis Laplace equations Lattices manifold learning Manifolds Mathematical morphology Morphology multivariate nonlocal Vectors |
| title | Nonlocal and multivariate mathematical morphology |
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