{"id":"https://openalex.org/W1627595462","doi":"https://doi.org/10.1109/tip.2015.2480599","title":"MToS: A Tree of Shapes for Multivariate Images","display_name":"MToS: A Tree of Shapes for Multivariate Images","publication_year":2015,"publication_date":"2015-09-22","ids":{"openalex":"https://openalex.org/W1627595462","doi":"https://doi.org/10.1109/tip.2015.2480599","mag":"1627595462","pmid":"https://pubmed.ncbi.nlm.nih.gov/26415169"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2015.2480599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2480599","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":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01474835v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059793245","display_name":"Edwin Carlinet","orcid":"https://orcid.org/0000-0001-5737-5266"},"institutions":[{"id":"https://openalex.org/I4210138808","display_name":"\u00c9cole Pour l'Informatique et les Techniques Avanc\u00e9es","ror":"https://ror.org/04r5ddq29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210138808"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Edwin Carlinet","raw_affiliation_strings":["Laboratoire d\u2019Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","Research and Development Laboratory, \u00c9cole pour l\u2019Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","Research and Development Laboratory, \u00c9cole pour l'Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Research and Development Laboratory, \u00c9cole pour l\u2019Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","institution_ids":["https://openalex.org/I4210138808"]},{"raw_affiliation_string":"Research and Development Laboratory, \u00c9cole pour l'Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","institution_ids":["https://openalex.org/I4210138808"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068813606","display_name":"Thierry G\u00e9raud","orcid":"https://orcid.org/0000-0002-0380-7948"},"institutions":[{"id":"https://openalex.org/I4210138808","display_name":"\u00c9cole Pour l'Informatique et les Techniques Avanc\u00e9es","ror":"https://ror.org/04r5ddq29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210138808"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Geraud","raw_affiliation_strings":["Laboratoire d\u2019Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","Research and Development Laboratory, \u00c9cole pour l\u2019Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","Research and Development Laboratory, \u00c9cole pour l'Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Research and Development Laboratory, \u00c9cole pour l\u2019Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","institution_ids":["https://openalex.org/I4210138808"]},{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est, Noisy-le-Grand, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Research and Development Laboratory, \u00c9cole pour l'Informatique et les Techniques Avanc\u00e9es, Le Kremlin-Bic\u00eatre, France","institution_ids":["https://openalex.org/I4210138808"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0406,"has_fulltext":true,"cited_by_count":64,"citation_normalized_percentile":{"value":0.95865451,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"24","issue":"12","first_page":"5330","last_page":"5342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9983000159263611,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9983000159263611,"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/T10320","display_name":"Neural Networks and Applications","score":0.9740999937057495,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.9666000008583069,"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/artificial-intelligence","display_name":"Artificial intelligence","score":0.7330343723297119},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6147089004516602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6098892688751221},{"id":"https://openalex.org/keywords/hyperspectral-imaging","display_name":"Hyperspectral imaging","score":0.5776054263114929},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.532578706741333},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.5312100648880005},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4872190058231354},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.48578670620918274},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.46403738856315613},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.45611876249313354},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.45466485619544983},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.4341218173503876},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4331914782524109},{"id":"https://openalex.org/keywords/quadtree","display_name":"Quadtree","score":0.425518274307251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39404362440109253},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.262046754360199},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08171138167381287}],"concepts":[{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.7330343723297119},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6147089004516602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6098892688751221},{"id":"https://openalex.org/C159078339","wikidata":"https://www.wikidata.org/wiki/Q959005","display_name":"Hyperspectral imaging","level":2,"score":0.5776054263114929},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.532578706741333},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.5312100648880005},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4872190058231354},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.48578670620918274},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.46403738856315613},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.45611876249313354},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.45466485619544983},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.4341218173503876},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4331914782524109},{"id":"https://openalex.org/C151416825","wikidata":"https://www.wikidata.org/wiki/Q934791","display_name":"Quadtree","level":2,"score":0.425518274307251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39404362440109253},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.262046754360199},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08171138167381287},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D015999","descriptor_name":"Multivariate Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015999","descriptor_name":"Multivariate Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015999","descriptor_name":"Multivariate Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2015.2480599","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2015.2480599","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:26415169","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/26415169","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-01474835v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01474835","pdf_url":"https://inria.hal.science/hal-01474835v1/document","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, 2015, 24 (12), pp.5330 - 5342. ⟨10.1109/TIP.2015.2480599⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01474835v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01474835","pdf_url":"https://inria.hal.science/hal-01474835v1/document","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, 2015, 24 (12), pp.5330 - 5342. ⟨10.1109/TIP.2015.2480599⟩","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.7599999904632568,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1627595462.pdf","grobid_xml":"https://content.openalex.org/works/W1627595462.grobid-xml"},"referenced_works_count":59,"referenced_works":["https://openalex.org/W53267500","https://openalex.org/W138525918","https://openalex.org/W151607323","https://openalex.org/W151895561","https://openalex.org/W194113526","https://openalex.org/W200963588","https://openalex.org/W642169424","https://openalex.org/W1489042383","https://openalex.org/W1491850195","https://openalex.org/W1520230319","https://openalex.org/W1539437305","https://openalex.org/W1556668337","https://openalex.org/W1559371027","https://openalex.org/W1743038765","https://openalex.org/W1840243295","https://openalex.org/W1966828720","https://openalex.org/W1967299951","https://openalex.org/W1978563198","https://openalex.org/W1988851868","https://openalex.org/W1990664802","https://openalex.org/W1998278291","https://openalex.org/W2001158482","https://openalex.org/W2012050936","https://openalex.org/W2026591771","https://openalex.org/W2043293910","https://openalex.org/W2059903402","https://openalex.org/W2062486658","https://openalex.org/W2072447142","https://openalex.org/W2074427554","https://openalex.org/W2074585180","https://openalex.org/W2075283854","https://openalex.org/W2077086634","https://openalex.org/W2089767006","https://openalex.org/W2093555426","https://openalex.org/W2109853861","https://openalex.org/W2111311839","https://openalex.org/W2124032926","https://openalex.org/W2127199143","https://openalex.org/W2139702096","https://openalex.org/W2146037576","https://openalex.org/W2157691228","https://openalex.org/W2159353534","https://openalex.org/W2161570730","https://openalex.org/W2169157404","https://openalex.org/W2169239465","https://openalex.org/W2169560463","https://openalex.org/W2184563774","https://openalex.org/W2276418283","https://openalex.org/W2293635884","https://openalex.org/W2915008565","https://openalex.org/W4297845835","https://openalex.org/W4391288492","https://openalex.org/W6602155143","https://openalex.org/W6606194389","https://openalex.org/W6607813586","https://openalex.org/W6633275910","https://openalex.org/W6638757475","https://openalex.org/W6694643353","https://openalex.org/W6841906508"],"related_works":["https://openalex.org/W4253586140","https://openalex.org/W2372141727","https://openalex.org/W2388177796","https://openalex.org/W2286458017","https://openalex.org/W2368170224","https://openalex.org/W1973301025","https://openalex.org/W2207790469","https://openalex.org/W2091889591","https://openalex.org/W2041406494","https://openalex.org/W2163448995"],"abstract_inverted_index":{"The":[0,140],"topographic":[1],"map":[2],"of":[3,10,17,52,99,108,112,142,150,166],"a":[4,13,77,92,96,144],"gray-level":[5,110],"image,":[6],"also":[7],"called":[8],"tree":[9,111],"shapes,":[11],"provides":[12],"high-level":[14],"hierarchical":[15],"representation":[16,57,98,149],"the":[18,49,105,109,130,136],"image":[19,39,137,152],"contents.":[20],"This":[21,89],"representation,":[22],"invariant":[23,146],"to":[24,28,36,94],"contrast":[25,29,145],"changes":[26],"and":[27,41,85,147,160,179],"inversion,":[30],"has":[31],"been":[32],"proved":[33],"very":[34],"useful":[35],"achieve":[37],"many":[38,87],"processing":[40],"pattern":[42],"recognition":[43],"tasks.":[44],"Its":[45],"definition":[46,138],"relies":[47],"on":[48,80,123,129,163],"total":[50,78],"ordering":[51,122],"pixel":[53],"values,":[54,124],"so":[55],"this":[56],"does":[58],"not":[59,83,118],"exist":[60],"for":[61],"color":[62,168],"images,":[63,101,170,172],"or":[64,75],"more":[65],"generally,":[66],"multivariate":[67,100,151],"images.":[68],"Common":[69],"workarounds,":[70],"such":[71],"as":[72],"marginal":[73],"processing,":[74],"imposing":[76],"order":[79],"data,":[81],"are":[82],"satisfactory":[84],"yield":[86],"problems.":[88],"paper":[90],"presents":[91],"method":[93],"build":[95],"tree-based":[97],"which":[102],"features":[103],"marginally":[104],"same":[106],"properties":[107],"shapes.":[113],"Briefly":[114],"put,":[115],"we":[116,126],"do":[117],"impose":[119],"an":[120],"arbitrary":[121],"but":[125],"only":[127],"rely":[128],"inclusion":[131],"relationship":[132],"between":[133],"shapes":[134],"in":[135],"domain.":[139],"interest":[141],"having":[143],"self-dual":[148],"is":[153],"illustrated":[154],"through":[155],"several":[156],"applications":[157],"(filtering,":[158],"segmentation,":[159],"object":[161],"recognition)":[162],"different":[164],"types":[165],"data:":[167],"natural":[169],"document":[171],"satellite":[173],"hyperspectral":[174],"imaging,":[175,178],"multimodal":[176],"medical":[177],"videos.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}