{"id":"https://openalex.org/W4313527348","doi":"https://doi.org/10.1109/bibm55620.2022.9995162","title":"Approximate Minimum Homology Basis for 3D Image and Its Application in Medical Image Segmentation","display_name":"Approximate Minimum Homology Basis for 3D Image and Its Application in Medical Image Segmentation","publication_year":2022,"publication_date":"2022-12-06","ids":{"openalex":"https://openalex.org/W4313527348","doi":"https://doi.org/10.1109/bibm55620.2022.9995162"},"language":"en","primary_location":{"id":"doi:10.1109/bibm55620.2022.9995162","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/bibm55620.2022.9995162","pdf_url":null,"source":{"id":"https://openalex.org/S4363607730","display_name":"2022 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5111275360","display_name":"Jisui Huang","orcid":"https://orcid.org/0000-0001-5975-151X"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jisui Huang","raw_affiliation_strings":["Capital Normal University,Beijing Advanced Innovation Center,Beijing,China","Beijing Advanced Innovation Center, Capital Normal University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Capital Normal University,Beijing Advanced Innovation Center,Beijing,China","institution_ids":["https://openalex.org/I25254941","https://openalex.org/I96852419"]},{"raw_affiliation_string":"Beijing Advanced Innovation Center, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086990531","display_name":"Na Lei","orcid":"https://orcid.org/0000-0003-3361-0756"},"institutions":[{"id":"https://openalex.org/I27357992","display_name":"Dalian University of Technology","ror":"https://ror.org/023hj5876","country_code":"CN","type":"education","lineage":["https://openalex.org/I27357992"]},{"id":"https://openalex.org/I4210102840","display_name":"Ubiquitous Energy (United States)","ror":"https://ror.org/01b06j989","country_code":"US","type":"company","lineage":["https://openalex.org/I4210102840"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Na Lei","raw_affiliation_strings":["Dalian University of Technology,Key Laboratory for Ubiquitous Network,Dalian,China","Key Laboratory for Ubiquitous Network, Dalian University of Technology, Dalian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dalian University of Technology,Key Laboratory for Ubiquitous Network,Dalian,China","institution_ids":["https://openalex.org/I27357992","https://openalex.org/I4210102840"]},{"raw_affiliation_string":"Key Laboratory for Ubiquitous Network, Dalian University of Technology, Dalian, China","institution_ids":["https://openalex.org/I27357992"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100452006","display_name":"Ke Chen","orcid":"https://orcid.org/0000-0002-6093-6623"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ke Chen","raw_affiliation_strings":["The University of Liverpool,Department of Mathematical Sciences,Liverpool,United Kingdom","Department of Mathematical Sciences, The University of Liverpool, Liverpool, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Liverpool,Department of Mathematical Sciences,Liverpool,United Kingdom","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"Department of Mathematical Sciences, The University of Liverpool, Liverpool, United Kingdom","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084014208","display_name":"Yuxue Ren","orcid":null},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxue Ren","raw_affiliation_strings":["Capital Normal University,Academy for Multidisciplinary Studies,Beijing,China","Academy for Multidisciplinary Studies, Capital Normal University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Capital Normal University,Academy for Multidisciplinary Studies,Beijing,China","institution_ids":["https://openalex.org/I96852419"]},{"raw_affiliation_string":"Academy for Multidisciplinary Studies, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103234540","display_name":"Zhenchang Wang","orcid":"https://orcid.org/0000-0002-9551-2660"},"institutions":[{"id":"https://openalex.org/I183519381","display_name":"Capital Medical University","ror":"https://ror.org/013xs5b60","country_code":"CN","type":"education","lineage":["https://openalex.org/I183519381"]},{"id":"https://openalex.org/I4210147433","display_name":"Beijing Friendship Hospital","ror":"https://ror.org/053qy4437","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210147433"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenchang Wang","raw_affiliation_strings":["Capital Medical University,Beijing Friendship Hospital,Beijing,China","Beijing Friendship Hospital, Capital Medical University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Capital Medical University,Beijing Friendship Hospital,Beijing,China","institution_ids":["https://openalex.org/I183519381","https://openalex.org/I4210147433"]},{"raw_affiliation_string":"Beijing Friendship Hospital, Capital Medical University, Beijing, China","institution_ids":["https://openalex.org/I183519381","https://openalex.org/I4210147433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101924786","display_name":"Yuanyuan Shang","orcid":"https://orcid.org/0000-0003-3135-0348"},"institutions":[{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]},{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Shang","raw_affiliation_strings":["Capital Normal University,Beijing Advanced Innovation Center,Beijing,China","Beijing Advanced Innovation Center, Capital Normal University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Capital Normal University,Beijing Advanced Innovation Center,Beijing,China","institution_ids":["https://openalex.org/I25254941","https://openalex.org/I96852419"]},{"raw_affiliation_string":"Beijing Advanced Innovation Center, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":null,"first_page":"2182","last_page":"2189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9990000128746033,"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":0.9940000176429749,"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/voxel","display_name":"Voxel","score":0.7529752254486084},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5257492661476135},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.523724377155304},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.5223687291145325},{"id":"https://openalex.org/keywords/homology","display_name":"Homology (biology)","score":0.5131159424781799},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5104214549064636},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5018441677093506},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.46333611011505127},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.42891865968704224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4271778166294098},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.427094042301178},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4195531904697418},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4095671474933624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40891098976135254},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3634829521179199},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11970669031143188},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06681045889854431},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06270778179168701},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.06116276979446411}],"concepts":[{"id":"https://openalex.org/C54170458","wikidata":"https://www.wikidata.org/wiki/Q663554","display_name":"Voxel","level":2,"score":0.7529752254486084},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5257492661476135},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.523724377155304},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.5223687291145325},{"id":"https://openalex.org/C165525559","wikidata":"https://www.wikidata.org/wiki/Q224180","display_name":"Homology (biology)","level":3,"score":0.5131159424781799},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5104214549064636},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5018441677093506},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.46333611011505127},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.42891865968704224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4271778166294098},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.427094042301178},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4195531904697418},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4095671474933624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40891098976135254},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3634829521179199},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11970669031143188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06681045889854431},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06270778179168701},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.06116276979446411},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/bibm55620.2022.9995162","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/bibm55620.2022.9995162","pdf_url":null,"source":{"id":"https://openalex.org/S4363607730","display_name":"2022 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Conference on Bioinformatics and Biomedicine (BIBM)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1481962790","https://openalex.org/W1976067114","https://openalex.org/W2028503265","https://openalex.org/W2037171829","https://openalex.org/W2067609574","https://openalex.org/W2093766264","https://openalex.org/W2114232503","https://openalex.org/W2118382603","https://openalex.org/W2120248756","https://openalex.org/W2133059825","https://openalex.org/W2485917574","https://openalex.org/W2962948267","https://openalex.org/W4298006963","https://openalex.org/W6673964125","https://openalex.org/W6722461743"],"related_works":["https://openalex.org/W2958601279","https://openalex.org/W2102692026","https://openalex.org/W4360887047","https://openalex.org/W3162517897","https://openalex.org/W2770791287","https://openalex.org/W3143913977","https://openalex.org/W4206186921","https://openalex.org/W4386755584","https://openalex.org/W4289362969","https://openalex.org/W3005059017"],"abstract_inverted_index":{"3D":[0,29,86,106],"medical":[1],"images":[2],"consist":[3],"of":[4,22,27,46,80,84,125],"voxels":[5,47],"with":[6,94,135],"points,":[7],"edges,":[8],"faces,":[9],"and":[10,48,88],"volumes.":[11],"A":[12],"fascinating":[13],"question":[14,38],"is":[15,39,43,52,68,114],"how":[16],"to":[17,98,117],"compute":[18],"the":[19,23,44,100,105,118,123,130,133],"shortest":[20],"basis":[21,103],"first":[24,75],"homology":[25,102],"group":[26],"a":[28,53,77,85],"image.":[30],"The":[31],"fastest":[32],"time":[33,95],"complexity":[34,96],"known":[35],"for":[36,104],"this":[37],"O($n^{\\omega}+n^{2}$g),":[40],"where":[41],"n":[42],"size":[45],"$\\omega":[49],"\\lt$":[50],"2.3728639":[51],"quantity":[54],"so":[55],"that":[56,110],"two":[57],"n\u00d7n":[58],"matrices":[59],"can":[60],"be":[61],"multiplied":[62],"in":[63,71,128],"O($n^{\\omega}$)":[64,97],"time.":[65],"But":[66],"it":[67],"still":[69],"slow":[70],"practical":[72],"applications.":[73],"We":[74,121],"construct":[76],"hexahedral":[78],"mesh":[79],"an":[81,91],"arbitrary":[82],"domain":[83],"image":[87],"second":[89],"propose":[90],"approximate":[92,112],"algorithm":[93,113,127],"calculate":[99],"minimal":[101],"images.":[107],"Experiments":[108],"show":[109],"our":[111,126],"very":[115],"close":[116],"exact":[119],"algorithm.":[120],"demonstrate":[122],"effectiveness":[124],"segmenting":[129],"semicircular":[131],"canals,":[132],"organ":[134],"complex":[136],"topology.":[137]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
