{"id":"https://openalex.org/W2978005227","doi":"https://doi.org/10.1109/tpami.2020.3013679","title":"A Topological Loss Function for Deep-Learning Based Image Segmentation Using Persistent Homology","display_name":"A Topological Loss Function for Deep-Learning Based Image Segmentation Using Persistent Homology","publication_year":2020,"publication_date":"2020-09-04","ids":{"openalex":"https://openalex.org/W2978005227","doi":"https://doi.org/10.1109/tpami.2020.3013679","mag":"2978005227","pmid":"https://pubmed.ncbi.nlm.nih.gov/32886606"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2020.3013679","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tpami.2020.3013679","pdf_url":"https://ieeexplore.ieee.org/ielx7/34/9940447/09186664.pdf","source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/34/9940447/09186664.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041353741","display_name":"James R. Clough","orcid":"https://orcid.org/0000-0002-9135-0545"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["GB","TR"],"is_corresponding":true,"raw_author_name":"James R. Clough","raw_affiliation_strings":["School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,"],"affiliations":[{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]},{"raw_affiliation_string":"with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087292183","display_name":"Nick Byrne","orcid":"https://orcid.org/0000-0003-3401-9570"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["GB","TR"],"is_corresponding":false,"raw_author_name":"Nicholas Byrne","raw_affiliation_strings":["School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,"],"affiliations":[{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]},{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080738214","display_name":"\u0130lkay \u00d6ks\u00fcz","orcid":"https://orcid.org/0000-0001-6478-0534"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["GB","TR"],"is_corresponding":false,"raw_author_name":"Ilkay Oksuz","raw_affiliation_strings":["School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021986478","display_name":"Veronika A. Zimmer","orcid":"https://orcid.org/0000-0002-5093-5854"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["GB","TR"],"is_corresponding":false,"raw_author_name":"Veronika A. Zimmer","raw_affiliation_strings":["School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,"],"affiliations":[{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]},{"raw_affiliation_string":"with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019012882","display_name":"Julia A. Schnabel","orcid":"https://orcid.org/0000-0001-6107-3009"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["GB","TR"],"is_corresponding":false,"raw_author_name":"Julia A. Schnabel","raw_affiliation_strings":["School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom"],"affiliations":[{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]},{"raw_affiliation_string":"with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033570737","display_name":"Andrew P. King","orcid":"https://orcid.org/0000-0002-9965-7015"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]},{"id":"https://openalex.org/I4210119896","display_name":"King's College School","ror":"https://ror.org/02bbqcn27","country_code":"GB","type":"education","lineage":["https://openalex.org/I4210119896"]},{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["GB","TR"],"is_corresponding":false,"raw_author_name":"Andrew P. King","raw_affiliation_strings":["School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,"],"affiliations":[{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, London, United Kingdom","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"the Computer Engineering Department, Istanbul Technical University, 34467 Sariyer/Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]},{"raw_affiliation_string":"with the School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom","institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896"]},{"raw_affiliation_string":"School of Biomedical Engineering and Imaging Sciences, King's College London, WC2R 2LS London, United Kingdom ,","institution_ids":["https://openalex.org/I183935753"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5041353741"],"corresponding_institution_ids":["https://openalex.org/I183935753","https://openalex.org/I4210119896","https://openalex.org/I48912391"],"apc_list":null,"apc_paid":null,"fwci":14.162,"has_fulltext":true,"cited_by_count":224,"citation_normalized_percentile":{"value":0.99099129,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"44","issue":"12","first_page":"8766","last_page":"8778"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9995999932289124,"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":0.9995999932289124,"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/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.957099974155426,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9520999789237976,"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/segmentation","display_name":"Segmentation","score":0.6822434663772583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6369948387145996},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6115126609802246},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.6018113493919373},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.5665031671524048},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5091158747673035},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.4970755875110626},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.490315705537796},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4742564260959625},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4381554424762726},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23870408535003662},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.237432062625885}],"concepts":[{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.6822434663772583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6369948387145996},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6115126609802246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6018113493919373},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.5665031671524048},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5091158747673035},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.4970755875110626},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.490315705537796},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4742564260959625},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4381554424762726},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23870408535003662},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.237432062625885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000077321","descriptor_name":"Deep Learning","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"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":"D000465","descriptor_name":"Algorithms","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":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":true},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":5,"locations":[{"id":"doi:10.1109/tpami.2020.3013679","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tpami.2020.3013679","pdf_url":"https://ieeexplore.ieee.org/ielx7/34/9940447/09186664.pdf","source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:32886606","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32886606","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 pattern analysis and machine intelligence","raw_type":null},{"id":"pmh:oai:arXiv.org:1910.01877","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.01877","pdf_url":"https://arxiv.org/pdf/1910.01877","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:polen.itu.edu.tr:11527/28157","is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/28157","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9721526","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9721526","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Trans Pattern Anal Mach Intell","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1109/tpami.2020.3013679","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tpami.2020.3013679","pdf_url":"https://ieeexplore.ieee.org/ielx7/34/9940447/09186664.pdf","source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1322964166","display_name":null,"funder_award_id":"203148/Z/16/Z","funder_id":"https://openalex.org/F4320311904","funder_display_name":"Wellcome Trust"},{"id":"https://openalex.org/G152311697","display_name":null,"funder_award_id":"EP/P001009/1","funder_id":"https://openalex.org/F4320319990","funder_display_name":"National Institute for Health and Care Research"},{"id":"https://openalex.org/G1814604835","display_name":null,"funder_award_id":"102431","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1938145382","display_name":null,"funder_award_id":"WT 203148/Z/16/Z","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G1961329086","display_name":null,"funder_award_id":"EP/P001009/","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2272191900","display_name":null,"funder_award_id":"102431","funder_id":"https://openalex.org/F4320311904","funder_display_name":"Wellcome Trust"},{"id":"https://openalex.org/G3018842902","display_name":null,"funder_award_id":"102431","funder_id":"https://openalex.org/F4320307874","funder_display_name":"Wellcome"},{"id":"https://openalex.org/G3220489596","display_name":"SmartHeart: Next-generation cardiovascular healthcare via integrated image acquisition, reconstruction, analysis and learning","funder_award_id":"EP/P001009/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G3842836504","display_name":null,"funder_award_id":"17806","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4466388606","display_name":null,"funder_award_id":"NVIDIA","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4597177185","display_name":null,"funder_award_id":"Wellcome Trust","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5186650386","display_name":null,"funder_award_id":"IEH Award [102431]","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5296857752","display_name":null,"funder_award_id":"203148/Z/16/Z","funder_id":"https://openalex.org/F4320337314","funder_display_name":"Centre For Medical Engineering, King\u2019s College London"},{"id":"https://openalex.org/G5758862049","display_name":null,"funder_award_id":"IEH Award [102431]","funder_id":"https://openalex.org/F4320311904","funder_display_name":"Wellcome Trust"},{"id":"https://openalex.org/G5847502682","display_name":null,"funder_award_id":"EP/P001009/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5850737185","display_name":null,"funder_award_id":"MC_PC_17228","funder_id":"https://openalex.org/F4320334626","funder_display_name":"Medical Research Council"},{"id":"https://openalex.org/G5907639349","display_name":null,"funder_award_id":"203148","funder_id":"https://openalex.org/F4320311904","funder_display_name":"Wellcome Trust"},{"id":"https://openalex.org/G6333133484","display_name":null,"funder_award_id":"EP/N026993/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7082644654","display_name":null,"funder_award_id":"102431","funder_id":"https://openalex.org/F4320319990","funder_display_name":"National Institute for Health and Care Research"},{"id":"https://openalex.org/G751609732","display_name":null,"funder_award_id":"P6000","funder_id":"https://openalex.org/F4320309480","funder_display_name":"Nvidia"},{"id":"https://openalex.org/G7967443389","display_name":null,"funder_award_id":"WT 203148/Z/16/Z","funder_id":"https://openalex.org/F4320311904","funder_display_name":"Wellcome Trust"},{"id":"https://openalex.org/G81539058","display_name":null,"funder_award_id":"Quadro P6000","funder_id":"https://openalex.org/F4320309480","funder_display_name":"Nvidia"},{"id":"https://openalex.org/G8215791725","display_name":null,"funder_award_id":"WT 203148/Z/16/Z","funder_id":"https://openalex.org/F4320320285","funder_display_name":"King's College London"},{"id":"https://openalex.org/G8303168876","display_name":null,"funder_award_id":"WT 203148/Z/16/","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8377279092","display_name":null,"funder_award_id":"EP/P001009","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8719353587","display_name":null,"funder_award_id":"EP/P0","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8775246936","display_name":null,"funder_award_id":"203148/Z/16/Z","funder_id":"https://openalex.org/F4320319990","funder_display_name":"National Institute for Health and Care Research"},{"id":"https://openalex.org/G8787748348","display_name":null,"funder_award_id":"203148/Z/16/Z","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G961285871","display_name":null,"funder_award_id":"WT 203148/Z/16/Z","funder_id":"https://openalex.org/F4320337314","funder_display_name":"Centre For Medical Engineering, King\u2019s College London"}],"funders":[{"id":"https://openalex.org/F4320307874","display_name":"Wellcome","ror":"https://ror.org/029chgv08"},{"id":"https://openalex.org/F4320309480","display_name":"Nvidia","ror":"https://ror.org/03jdj4y14"},{"id":"https://openalex.org/F4320311904","display_name":"Wellcome Trust","ror":"https://ror.org/029chgv08"},{"id":"https://openalex.org/F4320319990","display_name":"National Institute for Health and Care Research","ror":"https://ror.org/0187kwz08"},{"id":"https://openalex.org/F4320320285","display_name":"King's College London","ror":"https://ror.org/0220mzb33"},{"id":"https://openalex.org/F4320334626","display_name":"Medical Research Council","ror":"https://ror.org/03x94j517"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320334658","display_name":"Menzies Centre for Australian Studies, King's College London, University of London","ror":"https://ror.org/0220mzb33"},{"id":"https://openalex.org/F4320334959","display_name":"Guy's and St Thomas' NHS Foundation Trust","ror":"https://ror.org/00j161312"},{"id":"https://openalex.org/F4320337314","display_name":"Centre For Medical Engineering, King\u2019s College London","ror":"https://ror.org/04s9kfd63"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2978005227.pdf","grobid_xml":"https://content.openalex.org/works/W2978005227.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W124643305","https://openalex.org/W1563961677","https://openalex.org/W1686810756","https://openalex.org/W1753705553","https://openalex.org/W1901129140","https://openalex.org/W2045227075","https://openalex.org/W2096736341","https://openalex.org/W2099290282","https://openalex.org/W2105086806","https://openalex.org/W2124496089","https://openalex.org/W2124592697","https://openalex.org/W2161236525","https://openalex.org/W2163387321","https://openalex.org/W2236090215","https://openalex.org/W2258978862","https://openalex.org/W2344197591","https://openalex.org/W2464708700","https://openalex.org/W2505036509","https://openalex.org/W2556016755","https://openalex.org/W2586184221","https://openalex.org/W2592929672","https://openalex.org/W2620296437","https://openalex.org/W2734349601","https://openalex.org/W2751665805","https://openalex.org/W2775211083","https://openalex.org/W2804047627","https://openalex.org/W2810219751","https://openalex.org/W2905600194","https://openalex.org/W2911432702","https://openalex.org/W2922901657","https://openalex.org/W2945717579","https://openalex.org/W2945817187","https://openalex.org/W2947875106","https://openalex.org/W2949577571","https://openalex.org/W2951273363","https://openalex.org/W2952793010","https://openalex.org/W2963270775","https://openalex.org/W2963336247","https://openalex.org/W2963632741","https://openalex.org/W2969060799","https://openalex.org/W2969470364","https://openalex.org/W2970410772","https://openalex.org/W2982558273","https://openalex.org/W3098455240","https://openalex.org/W4233690291","https://openalex.org/W4289543463","https://openalex.org/W4297791576","https://openalex.org/W4302166858","https://openalex.org/W6637373629","https://openalex.org/W6729710357","https://openalex.org/W6746528676","https://openalex.org/W6752558437","https://openalex.org/W6752715036","https://openalex.org/W6757782233","https://openalex.org/W6763080955","https://openalex.org/W6763415409"],"related_works":["https://openalex.org/W2886923060","https://openalex.org/W2887690685","https://openalex.org/W2129730857","https://openalex.org/W4287394697","https://openalex.org/W3119689987","https://openalex.org/W3120766012","https://openalex.org/W4287826795","https://openalex.org/W3128725485","https://openalex.org/W3204835693","https://openalex.org/W4224300916"],"abstract_inverted_index":{"We":[0,98,143],"introduce":[1],"a":[2,44,173,180],"method":[3],"for":[4],"training":[5,34,182],"neural":[6,151],"networks":[7],"to":[8,72,178],"perform":[9],"image":[10,108],"or":[11,175],"volume":[12],"segmentation":[13,118,139,153,160],"in":[14,47,60,102,150,171],"which":[15],"prior":[16,88,148],"knowledge":[17,89,149],"about":[18],"the":[19,22,33,38,54,69,74,91,94,125,130,159],"topology":[20,56,92],"of":[21,41,57,62,90,93],"segmented":[23,58],"object":[24],"can":[25,52,168],"be":[26,169],"explicitly":[27],"provided":[28],"and":[29,66,110,135,165],"then":[30,67],"incorporated":[31],"into":[32],"process.":[35],"By":[36],"using":[37],"differentiable":[39],"properties":[40],"persistent":[42],"homology,":[43],"concept":[45],"used":[46,170],"topological":[48,76],"data":[49,123],"analysis,":[50],"we":[51],"specify":[53],"desired":[55],"objects":[59],"terms":[61],"their":[63],"Betti":[64],"numbers":[65],"drive":[68],"proposed":[70],"segmentations":[71],"contain":[73],"specified":[75],"features.":[77],"Importantly":[78],"this":[79],"process":[80],"does":[81],"not":[82],"require":[83],"any":[84],"ground-truth":[85],"labels,":[86],"just":[87],"structure":[95],"being":[96],"segmented.":[97],"demonstrate":[99],"our":[100],"approach":[101],"four":[103],"experiments:":[104],"one":[105,113,128,136],"on":[106,114,129,137],"MNIST":[107],"denoising":[109],"digit":[111],"recognition,":[112],"left":[115],"ventricular":[116],"myocardium":[117],"from":[119,124,140,184],"magnetic":[120],"resonance":[121],"imaging":[122],"UK":[126],"Biobank,":[127],"ACDC":[131],"public":[132],"challenge":[133],"dataset":[134],"placenta":[138],"3-D":[141],"ultrasound.":[142],"find":[144],"that":[145,166],"embedding":[146],"explicit":[147],"network":[152],"tasks":[154],"is":[155,162],"most":[156],"beneficial":[157],"when":[158],"task":[161],"especially":[163],"challenging":[164],"it":[167],"either":[172],"semi-supervised":[174],"post-processing":[176],"context":[177],"extract":[179],"useful":[181],"gradient":[183],"images":[185],"without":[186],"pixelwise":[187],"labels.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":56},{"year":2024,"cited_by_count":63},{"year":2023,"cited_by_count":35},{"year":2022,"cited_by_count":25},{"year":2021,"cited_by_count":32},{"year":2020,"cited_by_count":6}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2019-10-10T00:00:00"}