{"id":"https://openalex.org/W2025863005","doi":"https://doi.org/10.1145/2462356.2462384","title":"A parallel algorithm for computing the flow complex","display_name":"A parallel algorithm for computing the flow complex","publication_year":2013,"publication_date":"2013-06-17","ids":{"openalex":"https://openalex.org/W2025863005","doi":"https://doi.org/10.1145/2462356.2462384","mag":"2025863005"},"language":"en","primary_location":{"id":"doi:10.1145/2462356.2462384","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2462356.2462384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-ninth annual symposium on Computational geometry","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027313464","display_name":"Joachim Giesen","orcid":"https://orcid.org/0000-0001-6598-6833"},"institutions":[{"id":"https://openalex.org/I4210134900","display_name":"Jena University Hospital","ror":"https://ror.org/035rzkx15","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210134900"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim Giesen","raw_affiliation_strings":["University Jena, Jena, Germany","University Jena, Jena, Germany;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Jena, Jena, Germany","institution_ids":["https://openalex.org/I4210134900"]},{"raw_affiliation_string":"University Jena, Jena, Germany;","institution_ids":["https://openalex.org/I4210134900"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041322912","display_name":"Lars Kuehne","orcid":null},"institutions":[{"id":"https://openalex.org/I4210134900","display_name":"Jena University Hospital","ror":"https://ror.org/035rzkx15","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210134900"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Kuehne","raw_affiliation_strings":["University Jena, Jena, Germany","University Jena, Jena, Germany;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Jena, Jena, Germany","institution_ids":["https://openalex.org/I4210134900"]},{"raw_affiliation_string":"University Jena, Jena, Germany;","institution_ids":["https://openalex.org/I4210134900"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210134900"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":null,"first_page":"57","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9922999739646912,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.979200005531311,"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.8466094732284546},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.64752596616745},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.6349616050720215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5811856389045715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5610334873199463},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.47748419642448425},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4715576171875},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3922329545021057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3441510796546936},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1269756555557251},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11946353316307068}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.8466094732284546},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.64752596616745},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.6349616050720215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5811856389045715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5610334873199463},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.47748419642448425},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4715576171875},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3922329545021057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3441510796546936},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1269756555557251},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11946353316307068}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2462356.2462384","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2462356.2462384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-ninth annual symposium on Computational geometry","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W158746982","https://openalex.org/W1509103838","https://openalex.org/W1528737170","https://openalex.org/W1757162420","https://openalex.org/W1972159725","https://openalex.org/W1980278852","https://openalex.org/W1985422071","https://openalex.org/W2016252883","https://openalex.org/W2053634997","https://openalex.org/W2061340669","https://openalex.org/W2065367476","https://openalex.org/W2096451963","https://openalex.org/W2114814783","https://openalex.org/W2122950280","https://openalex.org/W2139335104","https://openalex.org/W2586664622","https://openalex.org/W4207017282"],"related_works":["https://openalex.org/W2088434112","https://openalex.org/W2396796996","https://openalex.org/W1529719486","https://openalex.org/W2001351033","https://openalex.org/W2054620026","https://openalex.org/W2381889232","https://openalex.org/W2359979928","https://openalex.org/W2135604395","https://openalex.org/W4254406543","https://openalex.org/W2149044706"],"abstract_inverted_index":{"We":[0,100],"present":[1],"a":[2,19,121],"parallel":[3],"algorithm":[4,58,111],"and":[5,34,45],"its":[6],"implementation":[7],"for":[8,27,104],"computing":[9,28,95],"the":[10,15,29,38,42,49,53,64,68,80,90,96,115],"entire":[11],"Hasse":[12,65],"diagram":[13,66],"of":[14,18,41,52,67,85,117],"flow":[16,30,43,69],"complex":[17,31,44,70],"point":[20,54,86],"cloud":[21,55,87],"in":[22,32],"Euclidean":[23],"space.":[24],"Known":[25],"algorithms":[26],"two":[33],"three":[35],"dimensions":[36,106],"compute":[37,48],"geometric":[39,76],"realization":[40],"need":[46],"to":[47,78],"Delaunay":[50,97],"triangulation":[51,98],"first.":[56],"Our":[57],"computes":[59],"less":[60],"information,":[61],"namely":[62],"only":[63],"that":[71,107,109],"is":[72],"augmented":[73],"with":[74,114],"enough":[75],"information":[77],"allow":[79],"same":[81],"topological":[82],"multi-scale":[83],"analysis":[84],"data":[88],"as":[89],"alpha":[91],"shape":[92],"filtration":[93],"without":[94],"explicitly.":[99],"show":[101],"experimental":[102],"results":[103],"medium":[105],"demonstrate":[108],"our":[110],"scales":[112],"well":[113],"number":[116],"available":[118],"cores":[119],"on":[120],"multicore":[122],"architecture.":[123]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}