{"id":"https://openalex.org/W4225852851","doi":"https://doi.org/10.20382/jocg.v14i2a2","title":"GPU computation of the Euler characteristic curve for imaging data","display_name":"GPU computation of the Euler characteristic curve for imaging data","publication_year":2023,"publication_date":"2023-10-30","ids":{"openalex":"https://openalex.org/W4225852851","doi":"https://doi.org/10.20382/jocg.v14i2a2"},"language":"en","primary_location":{"id":"pmh:oai:ojs.library.carleton.ca:article/4470","is_oa":true,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/4470","pdf_url":"https://jocg.org/index.php/jocg/article/download/4470/3397","source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"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":"Journal of Computational Geometry; Vol. 14 No. 2 (2023): Special Issue of Selected Papers from SoCG 2022; 3\u201325","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://jocg.org/index.php/jocg/article/download/4470/3397","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Wang, Fan","orcid":"https://orcid.org/0000-0002-5402-5065"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wang, Fan","raw_affiliation_strings":["Stony Brook University"],"raw_orcid":"https://orcid.org/0000-0002-5402-5065","affiliations":[{"raw_affiliation_string":"Stony Brook University","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085761158","display_name":"Hubert Wagner","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wagner, Hubert","raw_affiliation_strings":["University of Florida"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Florida","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"last","author":{"id":null,"display_name":"Chen, Chao","orcid":null},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chen, Chao","raw_affiliation_strings":["Stony Brook University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stony Brook University","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01133814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13497","display_name":"Hermeneutics and Narrative Identity","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13695","display_name":"Aging, Elder Care, and Social Issues","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13099","display_name":"Health, Medicine and Society","score":0.95660001039505,"subfield":{"id":"https://openalex.org/subfields/3600","display_name":"General Health Professions"},"field":{"id":"https://openalex.org/fields/36","display_name":"Health Professions"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7881191968917847},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.7437236905097961},{"id":"https://openalex.org/keywords/persistent-homology","display_name":"Persistent homology","score":0.6891613602638245},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6601828336715698},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.4831966161727905},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.47817307710647583},{"id":"https://openalex.org/keywords/computational-topology","display_name":"Computational topology","score":0.4603886306285858},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.45862147212028503},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4439949691295624},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.4330006241798401},{"id":"https://openalex.org/keywords/programming-paradigm","display_name":"Programming paradigm","score":0.418901652097702},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41044819355010986},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36956167221069336},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3504441976547241},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32822489738464355},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.16177958250045776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13248595595359802}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7881191968917847},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.7437236905097961},{"id":"https://openalex.org/C2874115","wikidata":"https://www.wikidata.org/wiki/Q17099562","display_name":"Persistent homology","level":2,"score":0.6891613602638245},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6601828336715698},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.4831966161727905},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.47817307710647583},{"id":"https://openalex.org/C181576044","wikidata":"https://www.wikidata.org/wiki/Q4129926","display_name":"Computational topology","level":3,"score":0.4603886306285858},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.45862147212028503},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4439949691295624},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.4330006241798401},{"id":"https://openalex.org/C34165917","wikidata":"https://www.wikidata.org/wiki/Q188267","display_name":"Programming paradigm","level":2,"score":0.418901652097702},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41044819355010986},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36956167221069336},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3504441976547241},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32822489738464355},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.16177958250045776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13248595595359802},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:ojs.library.carleton.ca:article/4470","is_oa":true,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/4470","pdf_url":"https://jocg.org/index.php/jocg/article/download/4470/3397","source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"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":"Journal of Computational Geometry; Vol. 14 No. 2 (2023): Special Issue of Selected Papers from SoCG 2022; 3\u201325","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.20382/jocg.v14i2a2","is_oa":true,"landing_page_url":"https://doi.org/10.20382/jocg.v14i2a2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:ojs.library.carleton.ca:article/4470","is_oa":true,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/4470","pdf_url":"https://jocg.org/index.php/jocg/article/download/4470/3397","source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"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":"Journal of Computational Geometry; Vol. 14 No. 2 (2023): Special Issue of Selected Papers from SoCG 2022; 3\u201325","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2445899634","display_name":null,"funder_award_id":"CCF-1855760","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6204954519","display_name":null,"funder_award_id":"IIS-1909038","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6965355868","display_name":"AitF: Collaborative Research: Topological Algorithms for 3D/4D Cardiac Images: Understanding Complex and Dynamic Structures","funder_award_id":"1855760","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4225852851.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1424933","https://openalex.org/W764940","https://openalex.org/W564427","https://openalex.org/W431092","https://openalex.org/W738347","https://openalex.org/W18156215","https://openalex.org/W516139","https://openalex.org/W16796373","https://openalex.org/W9968273","https://openalex.org/W8884022"],"abstract_inverted_index":{"Persistent":[0],"homology":[1],"is":[2,32,42,50,94,144,165],"perhaps":[3],"the":[4,20,27],"most":[5,21],"popular":[6],"and":[7,36,49,85,137,159,170],"useful":[8],"tool":[9],"offered":[10],"by":[11],"topological":[12,171],"data":[13,18],"analysis":[14],"--":[15,35,108,136],"with":[16,105,177],"point-cloud":[17],"being":[19],"common":[22,139],"setup.":[23],"Its":[24],"older":[25],"cousin,":[26],"Euler":[28],"characteristic":[29],"curve":[30],"(ECC)":[31],"less":[33],"expressive":[34],"far":[37],"easier":[38],"to":[39,58,68],"compute.":[40],"It":[41],"particularly":[43,166],"suitable":[44],"for":[45,83,124],"analyzing":[46],"imaging":[47],"data,":[48],"commonly":[51],"used":[52,174],"in":[53,156,175],"fields":[54,63],"ranging":[55],"from":[56],"astrophysics":[57],"biomedical":[59],"image":[60],"analysis.":[61],"These":[62],"are":[64,173],"embracing":[65],"GPU":[66,78,127,154],"computations":[67],"handle":[69],"increasingly":[70],"large":[71],"datasets.":[72],"We":[73,162],"therefore":[74],"propose":[75],"an":[76],"optimized":[77],"implementation":[79,133],"of":[80,91,153],"ECC":[81],"computation":[82],"2D":[84],"3D":[86],"grayscale":[87],"images.":[88],"The":[89],"goal":[90],"this":[92,116,164],"paper":[93],"twofold.":[95],"First,":[96],"we":[97,141],"offer":[98],"a":[99,121,147,150],"practical":[100],"tool,":[101],"illustrating":[102],"its":[103,112],"performance":[104],"thorough":[106],"experimentation":[107],"but":[109],"also":[110],"explain":[111],"inherent":[113],"shortcomings.":[114],"Second,":[115],"simple":[117],"algorithm":[118],"serves":[119],"as":[120,146,168],"perfect":[122],"backdrop":[123],"highlighting":[125],"basic":[126],"programming":[128,155],"techniques":[129],"that":[130],"make":[131],"our":[132],"so":[134],"efficient":[135],"some":[138],"pitfalls":[140],"avoided.":[142],"This":[143],"intended":[145],"step":[148],"towards":[149],"wider":[151],"usage":[152],"computational":[157],"geometry":[158],"topology":[160],"software.":[161],"find":[163],"important":[167],"geometric":[169],"tools":[172],"conjunction":[176],"modern,":[178],"GPU-accelerated":[179],"machine":[180],"learning":[181],"frameworks.":[182]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2022-05-05T00:00:00"}