{"id":"https://openalex.org/W2095490164","doi":"https://doi.org/10.1137/110844258","title":"Morphological Bilateral Filtering","display_name":"Morphological Bilateral Filtering","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2095490164","doi":"https://doi.org/10.1137/110844258","mag":"2095490164"},"language":"en","primary_location":{"id":"doi:10.1137/110844258","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110844258","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://minesparis-psl.hal.science/hal-00789160","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067475182","display_name":"Jes\u00fas Angulo","orcid":"https://orcid.org/0000-0001-7250-5639"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jes\u00fas Angulo","raw_affiliation_strings":["Centre de Morphologie Math\u00e9matique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre de Morphologie Math\u00e9matique","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5067475182"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9039,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88196577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"6","issue":"3","first_page":"1790","last_page":"1822"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9975000023841858,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9975000023841858,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9922999739646912,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/structuring-element","display_name":"Structuring element","score":0.8932169675827026},{"id":"https://openalex.org/keywords/structuring","display_name":"Structuring","score":0.8207194805145264},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.7525242567062378},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.7521440982818604},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.6219851970672607},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5275484919548035},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5072343349456787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49616608023643494},{"id":"https://openalex.org/keywords/bilateral-filter","display_name":"Bilateral filter","score":0.46205320954322815},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.4455285966396332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44266214966773987},{"id":"https://openalex.org/keywords/adaptive-filter","display_name":"Adaptive filter","score":0.4194509983062744},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3864034414291382},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3694097101688385},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.320285826921463},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.30469024181365967},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1464136242866516}],"concepts":[{"id":"https://openalex.org/C74032544","wikidata":"https://www.wikidata.org/wiki/Q7625238","display_name":"Structuring element","level":5,"score":0.8932169675827026},{"id":"https://openalex.org/C2775945657","wikidata":"https://www.wikidata.org/wiki/Q381442","display_name":"Structuring","level":2,"score":0.8207194805145264},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.7525242567062378},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.7521440982818604},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.6219851970672607},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5275484919548035},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5072343349456787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49616608023643494},{"id":"https://openalex.org/C156140930","wikidata":"https://www.wikidata.org/wiki/Q860417","display_name":"Bilateral filter","level":3,"score":0.46205320954322815},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.4455285966396332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44266214966773987},{"id":"https://openalex.org/C102248274","wikidata":"https://www.wikidata.org/wiki/Q168388","display_name":"Adaptive filter","level":2,"score":0.4194509983062744},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3864034414291382},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3694097101688385},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.320285826921463},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.30469024181365967},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1464136242866516},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/110844258","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110844258","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.392.8639","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.392.8639","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/78/91/60/PDF/MorphoBilateralFilt_angulo_v3_2011.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.739.4460","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.739.4460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/87/71/37/PDF/MorphoBilateralFilt_angulo_vfinal_2013.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00789160v2","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00789160","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2013, 6 (3), pp.1790-1822. ⟨10.1137/110844258⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00789160v2","is_oa":true,"landing_page_url":"https://minesparis-psl.hal.science/hal-00789160","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2013, 6 (3), pp.1790-1822. ⟨10.1137/110844258⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W23259235","https://openalex.org/W1480546554","https://openalex.org/W1485191659","https://openalex.org/W1493492050","https://openalex.org/W1494195692","https://openalex.org/W1496838249","https://openalex.org/W1523281138","https://openalex.org/W1571699948","https://openalex.org/W1572959588","https://openalex.org/W1579238192","https://openalex.org/W1589986232","https://openalex.org/W1590218343","https://openalex.org/W1630120088","https://openalex.org/W1652206149","https://openalex.org/W1963679837","https://openalex.org/W1966984322","https://openalex.org/W1972292376","https://openalex.org/W1982989583","https://openalex.org/W1984069244","https://openalex.org/W1987857748","https://openalex.org/W1991081352","https://openalex.org/W1993553289","https://openalex.org/W1993946337","https://openalex.org/W1995194116","https://openalex.org/W1997998401","https://openalex.org/W2000594943","https://openalex.org/W2001002651","https://openalex.org/W2010322519","https://openalex.org/W2023534903","https://openalex.org/W2026849320","https://openalex.org/W2029036188","https://openalex.org/W2041964811","https://openalex.org/W2058374493","https://openalex.org/W2065164181","https://openalex.org/W2088616581","https://openalex.org/W2099244020","https://openalex.org/W2103049372","https://openalex.org/W2104404402","https://openalex.org/W2104763670","https://openalex.org/W2105607907","https://openalex.org/W2109991658","https://openalex.org/W2119817002","https://openalex.org/W2120101036","https://openalex.org/W2121988099","https://openalex.org/W2130094488","https://openalex.org/W2132732065","https://openalex.org/W2133279414","https://openalex.org/W2136396015","https://openalex.org/W2146052399","https://openalex.org/W2150134853","https://openalex.org/W2153419872","https://openalex.org/W2160935107","https://openalex.org/W2161856360","https://openalex.org/W2164741953","https://openalex.org/W2165324514","https://openalex.org/W2166038949","https://openalex.org/W2168802795","https://openalex.org/W2168896212","https://openalex.org/W2170949105","https://openalex.org/W2294663992","https://openalex.org/W2505399031","https://openalex.org/W2798501834","https://openalex.org/W2912690953","https://openalex.org/W2913706141","https://openalex.org/W3011612142","https://openalex.org/W3013094472","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2160935107","https://openalex.org/W2429125578","https://openalex.org/W2109932938","https://openalex.org/W2892082603","https://openalex.org/W3159542859","https://openalex.org/W2019913337","https://openalex.org/W163965946","https://openalex.org/W1992991245","https://openalex.org/W4206399529","https://openalex.org/W2357143406"],"abstract_inverted_index":{"A":[0],"current":[1],"challenging":[2],"topic":[3],"in":[4,36,66,116],"mathematical":[5],"morphology":[6],"is":[7,33,57,100,134],"the":[8,21,37,47,55,87,93,117,123,137,145,153],"construction":[9],"of":[10,29,41,46,54,95,122,128,152],"locally":[11],"adaptive":[12,70,138],"operators,":[13],"i.e.,":[14],"structuring":[15,113,139,147],"functions":[16],"that":[17,73],"are":[18,141,155],"dependent":[19],"on":[20],"input":[22],"image":[23],"itself":[24],"at":[25],"each":[26],"position.":[27],"Development":[28],"spatially":[30,77,110,129],"variant":[31,78,111,130],"filtering":[32,89],"well":[34],"established":[35],"theory":[38],"and":[39,51,81,91],"practice":[40],"Gaussian":[42],"filtering.":[43],"The":[44,149],"aim":[45],"first":[48],"part":[49,119],"(second":[50],"third":[52],"sections)":[53],"paper":[56,154],"to":[58,61,68,76,101,108],"study":[59],"how":[60],"generalize":[62],"these":[63],"convolution-based":[64],"approaches":[65],"order":[67],"introduce":[69],"nonlinear":[71],"filters":[72,133],"asymptotically":[74],"correspond":[75],"morphological":[79,132],"dilation":[80],"erosion.":[82],"In":[83],"particular,":[84],"starting":[85],"from":[86],"bilateral":[88,112,146],"framework":[90],"using":[92],"notion":[94],"counter-harmonic":[96],"mean,":[97],"our":[98],"goal":[99],"propose":[102],"a":[103],"new":[104],"low":[105],"complexity":[106],"approach":[107],"defining":[109],"functions.":[114,148],"Then,":[115],"second":[118],"(fourth":[120],"section)":[121],"paper,":[124],"an":[125],"original":[126],"formulation":[127],"flat":[131],"proposed,":[135],"where":[136],"elements":[140],"obtained":[142],"by":[143],"thresholding":[144],"methodological":[150],"results":[151],"illustrated":[156],"with":[157],"various":[158],"comparative":[159],"examples.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}