{"id":"https://openalex.org/W2892054235","doi":"https://doi.org/10.1109/icip.2018.8451180","title":"The Tree of Shapes Turned into a Max-Tree: A Simple and Efficient Linear Algorithm","display_name":"The Tree of Shapes Turned into a Max-Tree: A Simple and Efficient Linear Algorithm","publication_year":2018,"publication_date":"2018-09-07","ids":{"openalex":"https://openalex.org/W2892054235","doi":"https://doi.org/10.1109/icip.2018.8451180","mag":"2892054235"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2018.8451180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2018.8451180","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 25th IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5059793245","display_name":"Edwin Carlinet","orcid":"https://orcid.org/0000-0001-5737-5266"},"institutions":[{"id":"https://openalex.org/I4210126302","display_name":"Syst\u00e8mes d'Elevage M\u00e9diterran\u00e9ens et Tropicaux - Laboratoire de Recherche sur le D\u00e9veloppement de l'Elevage","ror":"https://ror.org/03p371w23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210126302"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Edwin Carlinet","raw_affiliation_strings":["EPITA Research and Development Laboratory (LRDE), France","LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research and Development Laboratory (LRDE), France","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]},{"raw_affiliation_string":"LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025961858","display_name":"S\u00e9bastien Crozet","orcid":"https://orcid.org/0000-0002-6011-1701"},"institutions":[{"id":"https://openalex.org/I4210126302","display_name":"Syst\u00e8mes d'Elevage M\u00e9diterran\u00e9ens et Tropicaux - Laboratoire de Recherche sur le D\u00e9veloppement de l'Elevage","ror":"https://ror.org/03p371w23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210126302"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sebastien Crozet","raw_affiliation_strings":["EPITA Research and Development Laboratory (LRDE), France","LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research and Development Laboratory (LRDE), France","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]},{"raw_affiliation_string":"LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]}]},{"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/I4210126302","display_name":"Syst\u00e8mes d'Elevage M\u00e9diterran\u00e9ens et Tropicaux - Laboratoire de Recherche sur le D\u00e9veloppement de l'Elevage","ror":"https://ror.org/03p371w23","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210126302"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Geraud","raw_affiliation_strings":["EPITA Research and Development Laboratory (LRDE), France","LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EPITA Research and Development Laboratory (LRDE), France","institution_ids":["https://openalex.org/I4210126302","https://openalex.org/I4210138808"]},{"raw_affiliation_string":"LRDE - Laboratoire de Recherche et de D\u00e9veloppement de l'EPITA (LRDE, EPITA 14-16, rue Voltaire F-94276 Le Kremlin Bic\u00eatre cedex France - France)","institution_ids":["https://openalex.org/I4210126302","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":1.0404,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.82437487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1488","last_page":"1492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9980999827384949,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9977999925613403,"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/computation","display_name":"Computation","score":0.7452307939529419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7305467128753662},{"id":"https://openalex.org/keywords/memory-footprint","display_name":"Memory footprint","score":0.7185598611831665},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.673337459564209},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.638776957988739},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5612899661064148},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5525071620941162},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.48202264308929443},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4464348554611206},{"id":"https://openalex.org/keywords/footprint","display_name":"Footprint","score":0.44198912382125854},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.41283780336380005},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41046202182769775},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3795461356639862},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2667006850242615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2008925974369049},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.14782768487930298},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.09320926666259766}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7452307939529419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7305467128753662},{"id":"https://openalex.org/C74912251","wikidata":"https://www.wikidata.org/wiki/Q6815727","display_name":"Memory footprint","level":2,"score":0.7185598611831665},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.673337459564209},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.638776957988739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5612899661064148},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5525071620941162},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.48202264308929443},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4464348554611206},{"id":"https://openalex.org/C132943942","wikidata":"https://www.wikidata.org/wiki/Q2562511","display_name":"Footprint","level":2,"score":0.44198912382125854},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.41283780336380005},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41046202182769775},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3795461356639862},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2667006850242615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2008925974369049},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.14782768487930298},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.09320926666259766},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icip.2018.8451180","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2018.8451180","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 25th IEEE International Conference on Image Processing (ICIP)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04579597v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04579597","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":"Proceedings of the 24th IEEE International Conference on Image Processing (ICIP), Oct 2018, Athens, Greece. pp.1488--1492, &#x27E8;10.1109/ICIP.2018.8451180&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W138525918","https://openalex.org/W406199516","https://openalex.org/W1489042383","https://openalex.org/W1491850195","https://openalex.org/W1539437305","https://openalex.org/W1627595462","https://openalex.org/W1966828720","https://openalex.org/W1978563198","https://openalex.org/W1998278291","https://openalex.org/W2021590242","https://openalex.org/W2024422416","https://openalex.org/W2047076586","https://openalex.org/W2059903402","https://openalex.org/W2063137107","https://openalex.org/W2072447142","https://openalex.org/W2075283854","https://openalex.org/W2099096599","https://openalex.org/W2146842130","https://openalex.org/W2149301680","https://openalex.org/W2157691228","https://openalex.org/W2167687153","https://openalex.org/W2202671883","https://openalex.org/W2257252002","https://openalex.org/W2258843603","https://openalex.org/W2301720988","https://openalex.org/W2335901235","https://openalex.org/W2340624627","https://openalex.org/W2344191251","https://openalex.org/W2345551181","https://openalex.org/W2548406176","https://openalex.org/W2586785995","https://openalex.org/W2607096564","https://openalex.org/W2804981860","https://openalex.org/W4301170278"],"related_works":["https://openalex.org/W3137434606","https://openalex.org/W2093885745","https://openalex.org/W4372263373","https://openalex.org/W2351266481","https://openalex.org/W2132547887","https://openalex.org/W2071459461","https://openalex.org/W2516987005","https://openalex.org/W2907786475","https://openalex.org/W2963447120","https://openalex.org/W4289082820"],"abstract_inverted_index":{"The":[0,56],"Tree":[1],"of":[2,10,16,47],"Shapes":[3],"(ToS)":[4],"is":[5],"a":[6,45,49,53,75,86,96],"morphological,":[7],"tree-based":[8],"representation":[9],"an":[11],"image,":[12],"translating":[13],"the":[14,80],"inclusion":[15],"its":[17],"level":[18],"lines.":[19],"It":[20,84],"features":[21],"many":[22,32,63],"invariants":[23],"to":[24,78],"image":[25,35],"changes,":[26],"which":[27],"make":[28],"it":[29],"well-suited":[30],"for":[31],"applications":[33],"in":[34,92],"processing":[36],"and":[37,62,88],"pattern":[38],"recognition.":[39],"In":[40],"this":[41],"paper,":[42],"we":[43,73,110],"propose":[44],"way":[46],"turning":[48],"ToS":[50],"computation":[51],"into":[52],"Max-Tree":[54],"computation.":[55],"latter":[57],"has":[58],"been":[59,70],"widely":[60],"studied,":[61],"efficient":[64,89],"algorithms":[65],"(including":[66],"parallel":[67],"ones)":[68],"have":[69],"developed.":[71],"Furthermore,":[72],"develop":[74],"specific":[76],"optimization":[77],"speed-up":[79],"common":[81],"2D":[82],"case.":[83],"follows":[85],"simple":[87],"algorithm,":[90],"running":[91],"linear":[93],"time":[94],"with":[95],"low":[97],"memory":[98],"footprint,":[99],"that":[100],"outperforms":[101],"other":[102],"currently":[103],"used":[104],"algorithms.":[105],"For":[106],"Reproducible":[107],"Research":[108],"purpose,":[109],"distribute":[111],"our":[112],"code":[113],"as":[114],"free":[115],"software.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
