{"id":"https://openalex.org/W1966984322","doi":"https://doi.org/10.1109/tip.2010.2056377","title":"Anisotropic Morphological Filters With Spatially-Variant Structuring Elements Based on Image-Dependent Gradient Fields","display_name":"Anisotropic Morphological Filters With Spatially-Variant Structuring Elements Based on Image-Dependent Gradient Fields","publication_year":2010,"publication_date":"2010-07-19","ids":{"openalex":"https://openalex.org/W1966984322","doi":"https://doi.org/10.1109/tip.2010.2056377","mag":"1966984322","pmid":"https://pubmed.ncbi.nlm.nih.gov/20615811"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2010.2056377","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2010.2056377","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111524344","display_name":"R Verd-Monedero","orcid":null},"institutions":[{"id":"https://openalex.org/I3123212020","display_name":"Universidad Polit\u00e9cnica de Cartagena","ror":"https://ror.org/02k5kx966","country_code":"ES","type":"education","lineage":["https://openalex.org/I3123212020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"R Verd-Monedero","raw_affiliation_strings":["Universidad Politecnica de Cartagena, Cartagena, Murcia, ES","Dept. of Tecnol. de la Informacion y las Comun., Univ. Politec. de Cartagena, Cartagena, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Politecnica de Cartagena, Cartagena, Murcia, ES","institution_ids":["https://openalex.org/I3123212020"]},{"raw_affiliation_string":"Dept. of Tecnol. de la Informacion y las Comun., Univ. Politec. de Cartagena, Cartagena, Spain","institution_ids":["https://openalex.org/I3123212020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067475182","display_name":"Jes\u00fas Angulo","orcid":"https://orcid.org/0000-0001-7250-5639"},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J Angulo","raw_affiliation_strings":["CMM-Centre de Morphologie Math\u00e9matique, MINES Paristech, Fontainebleau, cedex, France","CMM-Centre de Morphologie Math., Math. et Syst., MINES Paristech, Fontainebleau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMM-Centre de Morphologie Math\u00e9matique, MINES Paristech, Fontainebleau, cedex, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"CMM-Centre de Morphologie Math., Math. et Syst., MINES Paristech, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111614732","display_name":"J. Serra","orcid":null},"institutions":[{"id":"https://openalex.org/I12187552","display_name":"UniLaSalle Amiens (ESIEE-Amiens)","ror":"https://ror.org/03r13py57","country_code":"FR","type":"education","lineage":["https://openalex.org/I12187552"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J Serra","raw_affiliation_strings":["ESIEE, Laboratoire A2SI, Noisy-le-Grand, France","Lab. A2SI, ESIEE, Noisy-le-Grand, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESIEE, Laboratoire A2SI, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I12187552","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"Lab. A2SI, ESIEE, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I12187552","https://openalex.org/I4210154111"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.7605,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.95342923,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"1","first_page":"200","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/structuring-element","display_name":"Structuring element","score":0.9712010622024536},{"id":"https://openalex.org/keywords/morphological-gradient","display_name":"Morphological gradient","score":0.7093192338943481},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.6820833683013916},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.6724766492843628},{"id":"https://openalex.org/keywords/structuring","display_name":"Structuring","score":0.611958920955658},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5805566310882568},{"id":"https://openalex.org/keywords/binary-image","display_name":"Binary image","score":0.5446914434432983},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.519652247428894},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5104305148124695},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.5077294111251831},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5038225054740906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4699029326438904},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.43247532844543457},{"id":"https://openalex.org/keywords/structure-tensor","display_name":"Structure tensor","score":0.41793394088745117},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4159896969795227},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3611057996749878},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3403663635253906}],"concepts":[{"id":"https://openalex.org/C74032544","wikidata":"https://www.wikidata.org/wiki/Q7625238","display_name":"Structuring element","level":5,"score":0.9712010622024536},{"id":"https://openalex.org/C96133863","wikidata":"https://www.wikidata.org/wiki/Q6913458","display_name":"Morphological gradient","level":5,"score":0.7093192338943481},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.6820833683013916},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.6724766492843628},{"id":"https://openalex.org/C2775945657","wikidata":"https://www.wikidata.org/wiki/Q381442","display_name":"Structuring","level":2,"score":0.611958920955658},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5805566310882568},{"id":"https://openalex.org/C193828747","wikidata":"https://www.wikidata.org/wiki/Q864118","display_name":"Binary image","level":4,"score":0.5446914434432983},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.519652247428894},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5104305148124695},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.5077294111251831},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5038225054740906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4699029326438904},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.43247532844543457},{"id":"https://openalex.org/C113315163","wikidata":"https://www.wikidata.org/wiki/Q7625159","display_name":"Structure tensor","level":3,"score":0.41793394088745117},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4159896969795227},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3611057996749878},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3403663635253906},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2010.2056377","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2010.2056377","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:20615811","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20615811","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null},{"id":"pmh:oai:HAL:hal-00658974v1","is_oa":false,"landing_page_url":"https://minesparis-psl.hal.science/hal-00658974","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Image Processing, 2011, 20 (1), pp.Article number 5504218, Pages 200-212. ⟨10.1109/TIP.2010.2056377⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1480546554","https://openalex.org/W1498486804","https://openalex.org/W1542328201","https://openalex.org/W1572805076","https://openalex.org/W1590218343","https://openalex.org/W1593939129","https://openalex.org/W1623293652","https://openalex.org/W1890737423","https://openalex.org/W1964530222","https://openalex.org/W1966083290","https://openalex.org/W1973888842","https://openalex.org/W1977241131","https://openalex.org/W1978555977","https://openalex.org/W1987857748","https://openalex.org/W1997998401","https://openalex.org/W2016861691","https://openalex.org/W2018992668","https://openalex.org/W2023534903","https://openalex.org/W2033951757","https://openalex.org/W2045870530","https://openalex.org/W2048322459","https://openalex.org/W2063055263","https://openalex.org/W2100482752","https://openalex.org/W2102443333","https://openalex.org/W2104479126","https://openalex.org/W2105607907","https://openalex.org/W2106306551","https://openalex.org/W2110930049","https://openalex.org/W2114926173","https://openalex.org/W2119817002","https://openalex.org/W2121988099","https://openalex.org/W2127089691","https://openalex.org/W2127376784","https://openalex.org/W2129714418","https://openalex.org/W2132934990","https://openalex.org/W2133279414","https://openalex.org/W2134209808","https://openalex.org/W2138042958","https://openalex.org/W2143750255","https://openalex.org/W2144127923","https://openalex.org/W2145023731","https://openalex.org/W2145803225","https://openalex.org/W2155239927","https://openalex.org/W2160935107","https://openalex.org/W2164741953","https://openalex.org/W2164822588","https://openalex.org/W2170949105","https://openalex.org/W2294491857","https://openalex.org/W2402814685","https://openalex.org/W2478884216","https://openalex.org/W2488801260","https://openalex.org/W2505399031","https://openalex.org/W4213129816","https://openalex.org/W4230960434","https://openalex.org/W6639713033","https://openalex.org/W6675615176"],"related_works":["https://openalex.org/W2429125578","https://openalex.org/W2349062005","https://openalex.org/W2892082603","https://openalex.org/W2360079580","https://openalex.org/W2357143406","https://openalex.org/W4294237215","https://openalex.org/W3144861850","https://openalex.org/W1431586989","https://openalex.org/W2128399870","https://openalex.org/W2380599080"],"abstract_inverted_index":{"This":[0,39],"paper":[1],"deals":[2],"with":[3],"the":[4,17,32,58,62,65,72,81,85,96,105,109,112,115,119,122,125,138,144,174],"theory":[5],"and":[6,15,23,27,55,69,103,121,153,170,180],"applications":[7],"of":[8,19,61,71,91,95,111,118,124,143,158,167,176],"spatially-variant":[9,168],"discrete":[10],"mathematical":[11],"morphology.":[12],"We":[13],"review":[14],"formalize":[16],"definition":[18],"spatially":[20],"variant":[21],"dilation/erosion":[22],"opening/closing":[24],"for":[25,156],"binary":[26,152],"gray-level":[28,154],"images":[29,155],"using":[30],"exclusively":[31],"structuring":[33,48,73,127],"function,":[34],"without":[35],"resorting":[36],"to":[37,43,114,140],"complement.":[38],"theoretical":[40,178],"framework":[41],"allows":[42],"build":[44],"morphological":[45],"operators":[46],"whose":[47],"elements":[49,128],"can":[50,129,134],"locally":[51],"adapt":[52],"their":[53],"shape":[54,68,123],"orientation":[56,70,86,106],"across":[57],"dominant":[59],"direction":[60],"structures":[63],"in":[64],"image.":[66],"The":[67,146],"element":[74],"at":[75],"each":[76],"pixel":[77],"are":[78,149],"extracted":[79],"from":[80,108],"image":[82],"under":[83],"study:":[84],"is":[87],"given":[88,136],"by":[89,137],"means":[90],"a":[92],"diffusion":[93],"process":[94],"average":[97],"square":[98],"gradient":[99],"field,":[100],"which":[101],"regularizes":[102],"extends":[104],"information":[107],"edges":[110,142],"objects":[113],"homogeneous":[116],"areas":[117],"image;":[120],"orientated":[126],"be":[130,135],"linear":[131],"or":[132],"it":[133],"distance":[139],"relevant":[141],"objects.":[145],"proposed":[147],"filters":[148,172],"used":[150],"on":[151],"enhancement":[157],"anisotropic":[159],"features":[160],"such":[161],"as":[162],"coherent,":[163],"flow-like":[164],"structures.":[165],"Results":[166],"erosions/dilations":[169],"openings/closings-based":[171],"prove":[173],"validity":[175],"this":[177],"sound":[179],"novel":[181],"approach.":[182]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}