{"id":"https://openalex.org/W1510008813","doi":"https://doi.org/10.1007/3-540-46648-7_38","title":"Voronoi Drawings of Trees","display_name":"Voronoi Drawings of Trees","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1510008813","doi":"https://doi.org/10.1007/3-540-46648-7_38","mag":"1510008813"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46648-7_38","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-46648-7_38","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-46648-7_38.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-46648-7_38.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008995859","display_name":"Giuseppe Liotta","orcid":"https://orcid.org/0000-0002-2886-9694"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe Liotta","raw_affiliation_strings":["Dipartimento di Ingegneria Elettronica e dell\u2019Informazione, Universit\u00e0 di Perugia, Perugia, Italy","Dipartimento di Ingegneria Elettronica e dell'Informazione, Universit\u00e0 di Perugia, Perugia, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Elettronica e dell\u2019Informazione, Universit\u00e0 di Perugia, Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"Dipartimento di Ingegneria Elettronica e dell'Informazione, Universit\u00e0 di Perugia, Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045375742","display_name":"Henk Meijer","orcid":"https://orcid.org/0000-0003-0406-3327"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Henk Meijer","raw_affiliation_strings":["Department of Computing and Information Science, Queen\u2019s University, Kingston, Ontario, Canada","Department of Computing and Information Science, Queen's University, Kingston, Ontario, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Information Science, Queen\u2019s University, Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I204722609"]},{"raw_affiliation_string":"Department of Computing and Information Science, Queen's University, Kingston, Ontario, Canada","institution_ids":["https://openalex.org/I204722609"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008995859"],"corresponding_institution_ids":["https://openalex.org/I27483092"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4834,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.49425287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"369","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":1.0,"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":1.0,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.998199999332428,"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":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.9820041656494141},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6806678175926208},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6696087718009949},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6017105579376221},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5856881141662598},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5448650121688843},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5375366806983948},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5245426297187805},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.5230579972267151},{"id":"https://openalex.org/keywords/power-diagram","display_name":"Power diagram","score":0.5026755332946777},{"id":"https://openalex.org/keywords/weighted-voronoi-diagram","display_name":"Weighted Voronoi diagram","score":0.47722819447517395},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.46853107213974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34139102697372437},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33404016494750977},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2835204005241394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27546632289886475},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21178773045539856}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9820041656494141},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6806678175926208},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6696087718009949},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6017105579376221},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5856881141662598},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5448650121688843},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5375366806983948},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5245426297187805},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.5230579972267151},{"id":"https://openalex.org/C20573064","wikidata":"https://www.wikidata.org/wiki/Q13410436","display_name":"Power diagram","level":3,"score":0.5026755332946777},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.47722819447517395},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.46853107213974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34139102697372437},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33404016494750977},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2835204005241394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27546632289886475},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21178773045539856},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-46648-7_38","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-46648-7_38","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-46648-7_38.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:gdea.informatik.uni-koeln.de:383","is_oa":false,"landing_page_url":"http://gdea.informatik.uni-koeln.de/383/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196197","display_name":"gdea - Graph Drawing E-print Archive (GDEA)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"doi:10.1007/3-540-46648-7_38","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-46648-7_38","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F3-540-46648-7_38.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.5,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1510008813.pdf","grobid_xml":"https://content.openalex.org/works/W1510008813.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W230435904","https://openalex.org/W250108302","https://openalex.org/W1520125992","https://openalex.org/W1967005434","https://openalex.org/W2005314985","https://openalex.org/W2016814475","https://openalex.org/W2073262840","https://openalex.org/W2077005280","https://openalex.org/W2079047030","https://openalex.org/W2088839217","https://openalex.org/W2092924973","https://openalex.org/W2102761211","https://openalex.org/W2118927049","https://openalex.org/W2571450254"],"related_works":["https://openalex.org/W2739428663","https://openalex.org/W2383087774","https://openalex.org/W1992160534","https://openalex.org/W4237262175","https://openalex.org/W889844791","https://openalex.org/W2351580801","https://openalex.org/W2083174473","https://openalex.org/W2142458133","https://openalex.org/W2165323058","https://openalex.org/W2189603398"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}