{"id":"https://openalex.org/W7160717770","doi":"https://doi.org/10.1145/3799902.3811229","title":"Scalable GPU Construction of 3D Voronoi and Power Diagrams","display_name":"Scalable GPU Construction of 3D Voronoi and Power Diagrams","publication_year":2026,"publication_date":"2026-07-16","ids":{"openalex":"https://openalex.org/W7160717770","doi":"https://doi.org/10.1145/3799902.3811229"},"language":null,"primary_location":{"id":"doi:10.1145/3799902.3811229","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3799902.3811229","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1145/3799902.3811229","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093633459","display_name":"Bernardo Taveira","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Bernardo Taveira","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden and Zenseact, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0009-0006-4592-2289","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden and Zenseact, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003312930","display_name":"Carl Lindstr\u00f6m","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Carl Lindstr\u00f6m","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden and Zenseact, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0009-0006-3563-8946","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden and Zenseact, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135781895","display_name":"Maryam Fatemi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210086940","display_name":"Zenuity (Sweden)","ror":"https://ror.org/000dpyn16","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210086940"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Maryam Fatemi","raw_affiliation_strings":["Zenseact, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0009-0003-4513-6737","affiliations":[{"raw_affiliation_string":"Zenseact, Gothenburg, Sweden","institution_ids":["https://openalex.org/I4210086940"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035123040","display_name":"Lars Hammarstrand","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Lars Hammarstrand","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-5676-1392","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5135785612","display_name":"Fredrik Kahl","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Fredrik Kahl","raw_affiliation_strings":["Chalmers University of Technology, Gothenburg, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-9835-3020","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology, Gothenburg, Sweden","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.3808000087738037,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.3808000087738037,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.3497999906539917,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.10300000011920929,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.8669999837875366},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.7487000226974487},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.6948000192642212},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5309000015258789},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.48989999294281006},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4406000077724457},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.4318000078201294},{"id":"https://openalex.org/keywords/tree-traversal","display_name":"Tree traversal","score":0.4106999933719635},{"id":"https://openalex.org/keywords/power-diagram","display_name":"Power diagram","score":0.39160001277923584}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.8669999837875366},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.7487000226974487},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.6948000192642212},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6162999868392944},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5309000015258789},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.48989999294281006},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4406000077724457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43230000138282776},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.4318000078201294},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.4106999933719635},{"id":"https://openalex.org/C20573064","wikidata":"https://www.wikidata.org/wiki/Q13410436","display_name":"Power diagram","level":3,"score":0.39160001277923584},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.36169999837875366},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.3571000099182129},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33869999647140503},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33000001311302185},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32910001277923584},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.3237000107765198},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.3147999942302704},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.314300000667572},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.3070000112056732},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.3052999973297119},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.298799991607666},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.29750001430511475},{"id":"https://openalex.org/C147037132","wikidata":"https://www.wikidata.org/wiki/Q6865426","display_name":"Minimum bounding box","level":3,"score":0.29330000281333923},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C181095308","wikidata":"https://www.wikidata.org/wiki/Q1541599","display_name":"Geometric primitive","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3799902.3811229","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3799902.3811229","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2605.06408","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.06408","pdf_url":"https://arxiv.org/pdf/2605.06408","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"doi:10.1145/3799902.3811229","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3799902.3811229","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4632909464","display_name":null,"funder_award_id":"2022-06725","funder_id":"https://openalex.org/F4320322327","funder_display_name":"Knut och Alice Wallenbergs Stiftelse"},{"id":"https://openalex.org/G8869864247","display_name":null,"funder_award_id":"2022-06725","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Voronoi":[0,42],"diagrams,":[1,9,75,97],"and":[2,21,119],"their":[3,52],"more":[4,130],"general":[5,127],"weighted":[6,94],"counterpart,":[7],"power":[8,96],"are":[10,70,107],"fundamental":[11],"geometric":[12],"constructs":[13],"with":[14],"wide-ranging":[15],"applications":[16],"in":[17,30,54,102,129],"biology,":[18],"physics":[19],"simulation,":[20],"computer":[22],"graphics.":[23],"Recently,":[24],"they":[25],"have":[26],"gained":[27],"renewed":[28],"attention":[29],"mesh-based":[31],"neural":[32],"rendering.":[33],"Despite":[34],"being":[35],"extensively":[36],"studied,":[37],"the":[38,66,111],"construction":[39],"of":[40],"3D":[41],"diagrams":[43],"for":[44,73,126],"large-scale":[45,55],"point":[46,86,91,117],"sets":[47,87],"remains":[48],"computationally":[49],"expensive,":[50],"limiting":[51],"adoption":[53],"applications.":[56],"Existing":[57,105],"CPU-based":[58],"approaches":[59,106],"typically":[60,108],"rely":[61],"on":[62],"computing":[63],"its":[64],"dual,":[65],"Delaunay":[67],"tetrahedralization,":[68],"but":[69],"prohibitively":[71],"slow":[72],"large":[74,85],"while":[76],"GPU-based":[77],"methods":[78],"either":[79],"struggle":[80],"to":[81,84,110],"scale":[82],"efficiently":[83],"or":[88],"assume":[89],"homogeneous":[90,116],"distributions.":[92],"The":[93],"case,":[95],"is":[98],"even":[99],"less":[100],"explored":[101],"this":[103],"context.":[104],"tailored":[109],"application":[112],"at":[113],"hand,":[114],"assuming":[115],"distributions":[118],"small":[120],"weight":[121],"variations,":[122],"making":[123],"them":[124],"unsuitable":[125],"use":[128],"complex":[131],"heterogeneous":[132],"data.":[133]},"counts_by_year":[],"updated_date":"2026-07-17T05:58:32.477365","created_date":"2026-05-10T00:00:00"}
