{"id":"https://openalex.org/W186093589","doi":null,"title":"Distance Functions and Their Use in Adaptive Mathematical Morphology","display_name":"Distance Functions and Their Use in Adaptive Mathematical Morphology","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W186093589","mag":"186093589"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.649.8435","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.649.8435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://uu.diva-portal.org/smash/get/diva2:709476/FULLTEXT01.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-221568","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004250577","display_name":"Vladimir \u0106uri\u0107","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vladimir \u0106uri\u0107","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5004250577"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00666667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.8788999915122986,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.8788999915122986,"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":0.06599999964237213,"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":0.041200000792741776,"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/shape-comparison","display_name":"shape comparison","score":0.5870000123977661},{"id":"https://openalex.org/keywords/shape-registration","display_name":"shape registration","score":0.6779999732971191},{"id":"https://openalex.org/keywords/shape-recognition","display_name":"shape recognition","score":0.9990000128746033},{"id":"https://openalex.org/keywords/structuring-functions","display_name":"structuring functions","score":0.703000009059906},{"id":"https://openalex.org/keywords/saliency-maps","display_name":"saliency maps","score":0.7609999775886536},{"id":"https://openalex.org/keywords/edge-strength","display_name":"edge strength","score":0.8740000128746033},{"id":"https://openalex.org/keywords/fuzzy-sets","display_name":"fuzzy sets","score":0.9539999961853027},{"id":"https://openalex.org/keywords/image-regularization","display_name":"image regularization","score":0.953000009059906},{"id":"https://openalex.org/keywords/nonsmooth-functions","display_name":"nonsmooth functions","score":0.8849999904632568}],"concepts":[{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.6943168640136719},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5174711346626282},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.4570408761501312},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.45667099952697754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4522937536239624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4226696193218231},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.39909008145332336}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.649.8435","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.649.8435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://uu.diva-portal.org/smash/get/diva2:709476/FULLTEXT01.pdf","raw_type":"text"},{"id":"pmh:oai:DiVA.org:uu-221568","doi":null,"is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-221568","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I86987016","host_organization_name":"KTH Royal Institute of Technology","host_organization_lineage":["https://openalex.org/I86987016"],"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":null,"raw_type":"info:eu-repo/semantics/doctoralThesis"},{"id":"mag:186093589","doi":null,"is_oa":false,"landing_page_url":"http://uu.diva-portal.org/smash/get/diva2:709476/FULLTEXT01","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:DiVA.org:uu-221568","doi":null,"is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-221568","pdf_url":null,"source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I86987016","host_organization_name":"KTH Royal Institute of Technology","host_organization_lineage":["https://openalex.org/I86987016"],"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":null,"raw_type":"info:eu-repo/semantics/doctoralThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":113,"referenced_works":["https://openalex.org/W23259235","https://openalex.org/W45494237","https://openalex.org/W64331082","https://openalex.org/W87906459","https://openalex.org/W155987919","https://openalex.org/W175043423","https://openalex.org/W194065414","https://openalex.org/W632810616","https://openalex.org/W1238092070","https://openalex.org/W1482513167","https://openalex.org/W1484720787","https://openalex.org/W1492632537","https://openalex.org/W1502905951","https://openalex.org/W1524894299","https://openalex.org/W1542328201","https://openalex.org/W1554700641","https://openalex.org/W1561442812","https://openalex.org/W1567499641","https://openalex.org/W1572805076","https://openalex.org/W1590218343","https://openalex.org/W1593939129","https://openalex.org/W1594746090","https://openalex.org/W1912497050","https://openalex.org/W1963679837","https://openalex.org/W1963848754","https://openalex.org/W1964093237","https://openalex.org/W1964530222","https://openalex.org/W1966984322","https://openalex.org/W1970928383","https://openalex.org/W1977707243","https://openalex.org/W1979472129","https://openalex.org/W1982209249","https://openalex.org/W1982465050","https://openalex.org/W1984962317","https://openalex.org/W1987400371","https://openalex.org/W1989539217","https://openalex.org/W1991081352","https://openalex.org/W1993265270","https://openalex.org/W1993946337","https://openalex.org/W1997998401","https://openalex.org/W1999690352","https://openalex.org/W2002825326","https://openalex.org/W2004232496","https://openalex.org/W2004537679","https://openalex.org/W2023534903","https://openalex.org/W2029036188","https://openalex.org/W2032256331","https://openalex.org/W2032543375","https://openalex.org/W2034432063","https://openalex.org/W2035420778","https://openalex.org/W2038979792","https://openalex.org/W2049429038","https://openalex.org/W2050642310","https://openalex.org/W2052054864","https://openalex.org/W2057886711","https://openalex.org/W2058080862","https://openalex.org/W2058374493","https://openalex.org/W2058512501","https://openalex.org/W2063055263","https://openalex.org/W2063203547","https://openalex.org/W2066387111","https://openalex.org/W2068724806","https://openalex.org/W2069537876","https://openalex.org/W2091829906","https://openalex.org/W2097543505","https://openalex.org/W2098979973","https://openalex.org/W2099244020","https://openalex.org/W2100482752","https://openalex.org/W2103049372","https://openalex.org/W2103559027","https://openalex.org/W2107105977","https://openalex.org/W2108707886","https://openalex.org/W2109431301","https://openalex.org/W2109853861","https://openalex.org/W2113576511","https://openalex.org/W2116145986","https://openalex.org/W2117947261","https://openalex.org/W2119817002","https://openalex.org/W2121988099","https://openalex.org/W2125416511","https://openalex.org/W2127376784","https://openalex.org/W2129714418","https://openalex.org/W2130094488","https://openalex.org/W2132181312","https://openalex.org/W2134560790","https://openalex.org/W2134563929","https://openalex.org/W2136396015","https://openalex.org/W2140139548","https://openalex.org/W2145023731","https://openalex.org/W2147555557","https://openalex.org/W2148223612","https://openalex.org/W2151477212","https://openalex.org/W2151676774","https://openalex.org/W2155239927","https://openalex.org/W2158240273","https://openalex.org/W2160754664","https://openalex.org/W2160935107","https://openalex.org/W2162021822","https://openalex.org/W2164741953","https://openalex.org/W2167967165","https://openalex.org/W2169528473","https://openalex.org/W2170949105","https://openalex.org/W2282032878","https://openalex.org/W2401928574","https://openalex.org/W2494779131","https://openalex.org/W2764070771","https://openalex.org/W2809678234","https://openalex.org/W2899651273","https://openalex.org/W2912565176","https://openalex.org/W2912578794","https://openalex.org/W2913706141","https://openalex.org/W3164354881","https://openalex.org/W4242671934"],"related_works":["https://openalex.org/W69710352","https://openalex.org/W3087146713","https://openalex.org/W2160935107","https://openalex.org/W2091464926","https://openalex.org/W2909552099","https://openalex.org/W7020646385","https://openalex.org/W2009270794","https://openalex.org/W2109932938","https://openalex.org/W1996402310","https://openalex.org/W2129714418"],"abstract_inverted_index":{"One":[0,138],"of":[1,11,53,56,82,145,160,173,196,202,214,222,253,261,269,276,296,321,337],"the":[2,22,78,85,93,158,192,200,206,212,215,218,223,240,266,270,274,288,292,303,319],"main":[3],"problems":[4],"in":[5,14,40,84],"image":[6,97,231,326,345],"analysis":[7],"is":[8,17,32,72,120,147,209,227,280,285],"a":[9,34,73,99,103,188,277,297],"comparison":[10],"different":[12,68,230,259],"shapes":[13,38,115,127],"images.":[15],"It":[16],"often":[18],"desirable":[19],"to":[20,24,77,113,125,130,148,205,244,251,325],"determine":[21],"extent":[23],"which":[25],"one":[26],"shape":[27,79,166,234,275,293],"differs":[28],"from":[29,265,287],"another.":[30],"This":[31],"usually":[33],"difficult":[35],"task":[36,124],"because":[37],"vary":[39],"size,":[41,118],"length,":[42],"contrast,":[43],"texture,":[44],"orientation,":[45],"etc.":[46],"Shapes":[47],"can":[48],"be":[49],"described":[50],"using":[51],"sets":[52,62,246],"points,":[54],"crisp":[55],"fuzzy.":[57],"Hence,":[58],"distance":[59,162,182,207,225,242],"functions":[60,163,183,339],"between":[61,95,184,330],"have":[63,109],"been":[64,110],"used":[65,112],"for":[66,140,229,344],"comparing":[67],"shapes.":[69],"Mathematical":[70],"morphology":[71,81,324,333],"non-linear":[74],"theory":[75],"related":[76],"or":[80,136],"features":[83,132,146],"image,":[86],"and":[87,98,168,170,177,186,233,247,282,294,334],"morphological":[88,107],"operators":[89,108],"are":[90,300],"defined":[91],"by":[92,116,211],"interaction":[94],"an":[96,122,341],"small":[100],"set":[101],"called":[102,191],"structuring":[104,151,175,263,278,298,314],"element.":[105],"Although":[106],"extensively":[111],"differentiate":[114,126],"their":[117],"it":[119],"not":[121],"easy":[123],"with":[128],"respect":[129],"other":[131],"such":[133],"as":[134],"contrast":[135],"orientation.":[137],"approach":[139],"differentiation":[141],"on":[142,302],"these":[143],"type":[144],"use":[149],"data-dependent":[150],"elements.":[152],"In":[153],"this":[154,307],"thesis,":[155],"we":[156,238,310],"investigate":[157],"usefulness":[159,221],"various":[161],"for:":[164],"(i)":[165,273],"registration":[167,232],"recognition;":[169],"(ii)":[171,291],"construction":[172],"adaptive":[174,262,313,322,331],"elements":[176,264],"functions.":[178,315],"We":[179,256,316],"examine":[180],"existing":[181],"sets,":[185],"propose":[187,257],"new":[189,224,241],"one,":[190],"Complement":[193],"weighted":[194],"sum":[195],"minimal":[197],"distances,":[198],"where":[199],"contribution":[201],"each":[203],"point":[204,216],"function":[208,226,243],"determined":[210,286],"position":[213],"within":[217],"set.":[219],"The":[220,328],"shown":[228],"recognition":[235],"problems.":[236],"Furthermore,":[237],"extend":[239],"fuzzy":[245,254],"show":[248],"its":[249,283],"applicability":[250,320],"classification":[252],"objects.":[255],"two":[258],"types":[260],"salience":[267,289,304,308],"map":[268],"edge":[271],"strength:":[272],"element":[279,299],"predefined,":[281],"size":[284,295],"map;":[290],"dependent":[301],"map.":[305],"Using":[306],"map,":[309],"also":[311,317],"define":[312],"present":[318],"mathematical":[323,332],"regularization.":[327,346],"connection":[329],"Lasry-Lions":[335],"regularization":[336],"non-smooth":[338],"provides":[340],"elegant":[342],"tool":[343]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}