{"id":"https://openalex.org/W2996147833","doi":"https://doi.org/10.1109/tmi.2020.3027500","title":"Laplacian Flow Dynamics on Geometric Graphs for Anatomical Modeling of Cerebrovascular Networks","display_name":"Laplacian Flow Dynamics on Geometric Graphs for Anatomical Modeling of Cerebrovascular Networks","publication_year":2020,"publication_date":"2020-09-29","ids":{"openalex":"https://openalex.org/W2996147833","doi":"https://doi.org/10.1109/tmi.2020.3027500","mag":"2996147833","pmid":"https://pubmed.ncbi.nlm.nih.gov/32986549"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2020.3027500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2020.3027500","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1912.10003","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079507190","display_name":"Rafat Damseh","orcid":"https://orcid.org/0000-0001-6797-0448"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Rafat Damseh","raw_affiliation_strings":["Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","Ecole Polytechnique de Montr\u00e9al,"],"affiliations":[{"raw_affiliation_string":"Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Ecole Polytechnique de Montr\u00e9al,","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025218490","display_name":"Patrick Delafontaine-Martel","orcid":"https://orcid.org/0000-0003-0306-6729"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Patrick Delafontaine-Martel","raw_affiliation_strings":["Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","Institute of Biomedical Engineering, Ecole Polytechnique de Montreal, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Institute of Biomedical Engineering, Ecole Polytechnique de Montreal, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072923919","display_name":"Philippe Pouliot","orcid":"https://orcid.org/0000-0002-9797-3137"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Philippe Pouliot","raw_affiliation_strings":["Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","Institute of Biomedical Engineering, Ecole Polytechnique de Montreal, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Institute of Biomedical Engineering, Ecole Polytechnique de Montreal, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072102193","display_name":"Farida Ch\u00e9riet","orcid":"https://orcid.org/0000-0001-6170-5627"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Farida Cheriet","raw_affiliation_strings":["Department of Computer and Software Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","Department of Computer and Software Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, Qc, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Software Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Department of Computer and Software Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, Qc, Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075040052","display_name":"Fr\u00e9d\u00e9ric Lesage","orcid":"https://orcid.org/0000-0003-3699-1283"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Frederic Lesage","raw_affiliation_strings":["Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","Institute of Biomedical Engineering, Ecole Polytechnique de Montreal, Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Institute of Biomedical Engineering, \u00c9cole Polytechnique de Montr\u00e9al, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Institute of Biomedical Engineering, Ecole Polytechnique de Montreal, Montreal, QC, Canada","institution_ids":["https://openalex.org/I45683168"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079507190"],"corresponding_institution_ids":["https://openalex.org/I45683168"],"apc_list":null,"apc_paid":null,"fwci":0.1963,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.47002454,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"40","issue":"1","first_page":"381","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11304","display_name":"Advanced Neuroimaging Techniques and Applications","score":0.9962999820709229,"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/T10816","display_name":"Cerebrovascular and Carotid Artery Diseases","score":0.9846000075340271,"subfield":{"id":"https://openalex.org/subfields/2740","display_name":"Pulmonary and Respiratory Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.66367107629776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6393411755561829},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.5893572568893433},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5593029856681824},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.5361165404319763},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5257604718208313},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5153750777244568},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41768014430999756},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.337960422039032},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2491777241230011},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08381864428520203}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.66367107629776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6393411755561829},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.5893572568893433},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5593029856681824},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.5361165404319763},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5257604718208313},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5153750777244568},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41768014430999756},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.337960422039032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2491777241230011},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08381864428520203},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000792","descriptor_name":"Angiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000792","descriptor_name":"Angiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000792","descriptor_name":"Angiography","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":true},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":true},{"descriptor_ui":"D001921","descriptor_name":"Brain","qualifier_ui":"Q000000981","qualifier_name":"diagnostic imaging","is_major_topic":true},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008953","descriptor_name":"Models, Anatomic","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1109/tmi.2020.3027500","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2020.3027500","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},{"id":"pmid:32986549","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32986549","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 medical imaging","raw_type":null},{"id":"pmh:oai:arXiv.org:1912.10003","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.10003","pdf_url":"https://arxiv.org/pdf/1912.10003","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":"mag:2996147833","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1912.10003.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:publications.polymtl.ca:47057","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/47057/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"},{"id":"doi:10.48550/arxiv.1912.10003","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1912.10003","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:oai:arXiv.org:1912.10003","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.10003","pdf_url":"https://arxiv.org/pdf/1912.10003","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"},"sustainable_development_goals":[{"display_name":"Clean water and sanitation","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/6"}],"awards":[{"id":"https://openalex.org/G3553295158","display_name":null,"funder_award_id":"299166","funder_id":"https://openalex.org/F4320334506","funder_display_name":"Canadian Institutes of Health Research"},{"id":"https://openalex.org/G5972248302","display_name":null,"funder_award_id":"239876-2011","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G8473712882","display_name":null,"funder_award_id":"RGPIN-2014-06089","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334506","display_name":"Canadian Institutes of Health Research","ror":"https://ror.org/01gavpb45"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2996147833.pdf","grobid_xml":"https://content.openalex.org/works/W2996147833.grobid-xml"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W1425633829","https://openalex.org/W1963962785","https://openalex.org/W1981329364","https://openalex.org/W1981689827","https://openalex.org/W2007222931","https://openalex.org/W2013285325","https://openalex.org/W2022937801","https://openalex.org/W2037194090","https://openalex.org/W2045428587","https://openalex.org/W2048733914","https://openalex.org/W2074178568","https://openalex.org/W2095458137","https://openalex.org/W2095460038","https://openalex.org/W2097062636","https://openalex.org/W2102673550","https://openalex.org/W2118802473","https://openalex.org/W2136550549","https://openalex.org/W2139719599","https://openalex.org/W2144008209","https://openalex.org/W2150248624","https://openalex.org/W2150708165","https://openalex.org/W2156114286","https://openalex.org/W2159751112","https://openalex.org/W2164617216","https://openalex.org/W2339234205","https://openalex.org/W2531712355","https://openalex.org/W2565526767","https://openalex.org/W2601112461","https://openalex.org/W2780861787","https://openalex.org/W2793594115","https://openalex.org/W2797812281","https://openalex.org/W2803043859","https://openalex.org/W2807046484","https://openalex.org/W2884518415","https://openalex.org/W2901054298","https://openalex.org/W2903564834","https://openalex.org/W2905138852","https://openalex.org/W2945522003","https://openalex.org/W2945959497","https://openalex.org/W2964221470","https://openalex.org/W2980252793","https://openalex.org/W2999764476","https://openalex.org/W3026760178","https://openalex.org/W3105477982","https://openalex.org/W6775854479","https://openalex.org/W6780824342","https://openalex.org/W6785655386"],"related_works":["https://openalex.org/W3089456286","https://openalex.org/W2051153227","https://openalex.org/W3105477982","https://openalex.org/W3013427353","https://openalex.org/W2179112708","https://openalex.org/W2884518415","https://openalex.org/W3026760178","https://openalex.org/W168541604","https://openalex.org/W2620350855","https://openalex.org/W2129217566","https://openalex.org/W2305067772","https://openalex.org/W2295882015","https://openalex.org/W2027989504","https://openalex.org/W2100524311","https://openalex.org/W3009503876","https://openalex.org/W2162768044","https://openalex.org/W156065752","https://openalex.org/W3112980510","https://openalex.org/W2790446462","https://openalex.org/W2294730690"],"abstract_inverted_index":{"Generating":[0],"computational":[1],"anatomical":[2,211],"models":[3,207],"of":[4,28,213],"cerebrovascular":[5],"networks":[6],"is":[7,19,88,141,151],"vital":[8],"for":[9],"improving":[10],"clinical":[11],"practice":[12],"and":[13,39,79,130,165,173,192],"understanding":[14],"brain":[15],"oxygen":[16],"transport.":[17],"This":[18],"achieved":[20],"by":[21],"extracting":[22],"graph-based":[23],"representations":[24],"based":[25,89],"on":[26,56,90,107,153,170,196],"pre-mapping":[27],"vascular":[29,41,64,96,147,214],"structures.":[30,215],"Recent":[31],"graphing":[32,71,167],"methods":[33],"can":[34],"provide":[35],"smooth":[36],"vessels":[37,53,117],"trajectories":[38],"well-connected":[40],"topology.":[42],"However,":[43],"they":[44],"require":[45],"water-tight":[46],"surface":[47],"meshes":[48],"as":[49],"inputs.":[50],"Furthermore,":[51,199],"adding":[52],"radii":[54,83],"information":[55],"their":[57,61],"graph":[58,125],"compartments":[59],"restricts":[60],"alignment":[62],"along":[63],"centerlines.":[65,118],"Here,":[66],"we":[67,103],"propose":[68],"a":[69,99,121,131],"novel":[70],"scheme":[72,187],"that":[73,111,160,184,208],"works":[74],"with":[75,159,177],"relaxed":[76],"input":[77],"requirements":[78],"intrinsically":[80],"captures":[81],"vessel":[82],"information.":[84],"The":[85,181],"proposed":[86,186],"approach":[87],"deforming":[91],"geometric":[92,191],"graphs":[93],"constructed":[94],"within":[95],"boundaries.":[97],"Under":[98],"laplacian":[100],"optimization":[101],"framework,":[102],"assign":[104],"affinity":[105],"weights":[106],"the":[108,136,185,189],"initial":[109],"geometry":[110],"drives":[112],"its":[113],"iterative":[114],"contraction":[115],"toward":[116],"We":[119,155],"present":[120],"mechanism":[122],"to":[123,134,144],"decimate":[124],"structure":[126],"at":[127],"each":[128],"run":[129],"convergence":[132],"criterion":[133],"stop":[135],"process.":[137],"A":[138],"refinement":[139],"technique":[140],"then":[142],"introduced":[143],"obtain":[145],"final":[146],"models.":[148],"Our":[149],"implementation":[150],"available":[152],"https://github.com/Damseh/VascularGraph.":[154],"benchmarked":[156],"our":[157],"results":[158],"obtained":[161],"using":[162],"other":[163,202],"efficient":[164],"state-of-the-art":[166],"schemes,":[168],"validating":[169],"both":[171],"synthetic":[172],"real":[174],"angiograms":[175],"acquired":[176],"different":[178],"imaging":[179],"modalities.":[180],"experiments":[182],"indicate":[183],"produces":[188],"lowest":[190],"topological":[193],"error":[194],"rates":[195],"various":[197],"angiograms.":[198],"it":[200],"surpasses":[201],"techniques":[203],"in":[204],"providing":[205],"representative":[206],"capture":[209],"all":[210],"aspects":[212]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
