{"id":"https://openalex.org/W7127386720","doi":"https://doi.org/10.48550/arxiv.2602.02186","title":"Learning Topology-Aware Implicit Field for Unified Pulmonary Tree Modeling with Incomplete Topological Supervision","display_name":"Learning Topology-Aware Implicit Field for Unified Pulmonary Tree Modeling with Incomplete Topological Supervision","publication_year":2026,"publication_date":"2026-02-02","ids":{"openalex":"https://openalex.org/W7127386720","doi":"https://doi.org/10.48550/arxiv.2602.02186"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.02186","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124923650","display_name":"Ziqiao Weng","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Weng, Ziqiao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124879352","display_name":"Jiancheng Yang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Jiancheng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113014591","display_name":"Kangxian Xie","orcid":"https://orcid.org/0009-0007-2879-1448"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xie, Kangxian","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124875253","display_name":"Bo Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhou, Bo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5124879770","display_name":"Weidong Cai","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai, Weidong","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5124923650"],"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.6345999836921692,"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":0.6345999836921692,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.08250000327825546,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.02410000003874302,"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/robustness","display_name":"Robustness (evolution)","score":0.5871000289916992},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.5843999981880188},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5511999726295471},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.4973999857902527},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.47290000319480896},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.44929999113082886},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4359999895095825},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.41339999437332153}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6460999846458435},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5871000289916992},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.5843999981880188},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5511999726295471},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.4973999857902527},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47290000319480896},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.44929999113082886},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4359999895095825},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4106999933719635},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39500001072883606},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3871999979019165},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3700000047683716},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3000999987125397},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.2856000065803528},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.28380000591278076},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C152565575","wikidata":"https://www.wikidata.org/wiki/Q1124538","display_name":"Conditional random field","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.25839999318122864},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.257999986410141},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.02186","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.02186","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.02186","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.02186","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[{"score":0.8115618824958801,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Pulmonary":[0],"trees":[1],"extracted":[2],"from":[3],"CT":[4],"images":[5],"frequently":[6],"exhibit":[7],"topological":[8,155],"incompleteness,":[9],"such":[10],"as":[11,67],"missing":[12],"or":[13,40,106],"disconnected":[14],"branches,":[15],"which":[16],"substantially":[17],"degrades":[18],"downstream":[19],"anatomical":[20,127,160],"analysis":[21],"and":[22,48,72,88,92,129,157,162,195,200],"limits":[23],"the":[24,123,147],"applicability":[25],"of":[26],"existing":[27],"pulmonary":[28,78,83],"tree":[29,79],"modeling":[30,61,70],"pipelines.":[31],"Current":[32],"approaches":[33],"typically":[34],"rely":[35],"on":[36,104,112,146],"dense":[37],"volumetric":[38],"processing":[39],"explicit":[41,107],"graph":[42],"reasoning,":[43],"leading":[44],"to":[45,171],"limited":[46],"efficiency":[47],"reduced":[49],"robustness":[50],"under":[51,166],"realistic":[52],"structural":[53,115],"corruption.":[54],"We":[55],"propose":[56],"TopoField,":[57],"a":[58,68,94,141],"topology-aware":[59],"implicit":[60,96,125,138,173],"framework":[62],"that":[63,98,151],"treats":[64],"topology":[65,100],"repair":[66,101],"first-class":[69],"problem":[71],"enables":[73],"unified":[74],"multi-task":[75],"inference":[76],"for":[77,193],"analysis.":[80],"TopoField":[81,152,175],"represents":[82],"anatomy":[84],"using":[85],"sparse":[86],"surface":[87],"skeleton":[89],"point":[90],"clouds":[91],"learns":[93],"continuous":[95],"field":[97],"supports":[99],"without":[102],"relying":[103],"complete":[105],"disconnection":[108],"annotations,":[109],"by":[110],"training":[111],"synthetically":[113],"introduced":[114],"disruptions":[116],"over":[117,185],"\\textit{already}":[118],"incomplete":[119,168],"trees.":[120],"Building":[121],"upon":[122],"repaired":[124],"representation,":[126],"labeling":[128,161],"lung":[130,163],"segment":[131,164],"reconstruction":[132,165],"are":[133],"jointly":[134],"inferred":[135],"through":[136],"task-specific":[137],"functions":[139],"within":[140],"single":[142],"forward":[143],"pass.Extensive":[144],"experiments":[145],"Lung3D+":[148],"dataset":[149],"demonstrate":[150],"consistently":[153],"improves":[154],"completeness":[156],"achieves":[158],"accurate":[159],"challenging":[167],"scenarios.":[169],"Owing":[170],"its":[172,191],"formulation,":[174],"attains":[176],"high":[177],"computational":[178],"efficiency,":[179],"completing":[180],"all":[181],"tasks":[182],"in":[183],"just":[184],"one":[186],"second":[187],"per":[188],"case,":[189],"highlighting":[190],"practicality":[192],"large-scale":[194],"time-sensitive":[196],"clinical":[197],"applications.":[198],"Code":[199],"data":[201],"will":[202],"be":[203],"available":[204],"at":[205],"https://github.com/HINTLab/TopoField.":[206]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2026-02-04T00:00:00"}