{"id":"https://openalex.org/W1545210537","doi":"https://doi.org/10.1007/978-3-7091-6783-0_7","title":"Hierarchical Data Representations Based on Planar Voronoi Diagrams","display_name":"Hierarchical Data Representations Based on Planar Voronoi Diagrams","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1545210537","doi":"https://doi.org/10.1007/978-3-7091-6783-0_7","mag":"1545210537"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-7091-6783-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7091-6783-0_7","pdf_url":null,"source":{"id":"https://openalex.org/S4210219481","display_name":"Eurographics","issn_l":"0946-2767","issn":["0946-2767"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310321666","host_organization_name":"Springer Vienna","host_organization_lineage":["https://openalex.org/P4310321666","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Vienna","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Eurographics","raw_type":"book-chapter"},"type":"book-chapter","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/A5064781204","display_name":"Shirley Schussman","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shirley Schussman","raw_affiliation_strings":["Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA"],"affiliations":[{"raw_affiliation_string":"Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111973396","display_name":"Martin Bertram","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Bertram","raw_affiliation_strings":["Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA"],"affiliations":[{"raw_affiliation_string":"Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077191719","display_name":"Bernd Hamann","orcid":"https://orcid.org/0000-0002-3579-5005"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bernd Hamann","raw_affiliation_strings":["Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA"],"affiliations":[{"raw_affiliation_string":"Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114031893","display_name":"Kenneth I. Joy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kenneth I. Joy","raw_affiliation_strings":["Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA"],"affiliations":[{"raw_affiliation_string":"Center for Image Processing and Integrated Computing (CIPIC), Department of Computer Science, University of California at Davis, Davis, CA, 95616-8562, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064781204"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6599,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67318436,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"63","last_page":"72"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9997000098228455,"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":0.9991000294685364,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.9839143753051758},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.814497172832489},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6391637325286865},{"id":"https://openalex.org/keywords/power-diagram","display_name":"Power diagram","score":0.5347636342048645},{"id":"https://openalex.org/keywords/weighted-voronoi-diagram","display_name":"Weighted Voronoi diagram","score":0.5276497602462769},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5136858820915222},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5093913674354553},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.49480026960372925},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.45139265060424805},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4255691170692444},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41600891947746277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4063815176486969},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39840757846832275},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.32700639963150024},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18795090913772583},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.12890052795410156}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.9839143753051758},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.814497172832489},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6391637325286865},{"id":"https://openalex.org/C20573064","wikidata":"https://www.wikidata.org/wiki/Q13410436","display_name":"Power diagram","level":3,"score":0.5347636342048645},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.5276497602462769},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5136858820915222},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5093913674354553},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.49480026960372925},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.45139265060424805},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4255691170692444},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41600891947746277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4063815176486969},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39840757846832275},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32700639963150024},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18795090913772583},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.12890052795410156},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-7091-6783-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-7091-6783-0_7","pdf_url":null,"source":{"id":"https://openalex.org/S4210219481","display_name":"Eurographics","issn_l":"0946-2767","issn":["0946-2767"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310321666","host_organization_name":"Springer Vienna","host_organization_lineage":["https://openalex.org/P4310321666","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Vienna","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Eurographics","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.378.8876","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.378.8876","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-hagen.informatik.uni-kl.de/~bertram/papers/VISSYM00.pdf","raw_type":"text"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt9dw2x1dg","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/9dw2x1dg","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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"},{"id":"pmh:qt9dw2x1dg","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/9dw2x1dg","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Schussman, Shirley; Bertram, Martin; Hamann, Bernd; & Joy, Ken. Van Liere, R.; Hermann, I.; & Ribarsky, W.(2000). Hierarchical Data Representations based on Planar Voronoi Diagrams. UC Davis: Institute for Data Analysis and Visualization. Retrieved from: http://www.escholarship.org/uc/item/9dw2x1dg","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.7099999785423279,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1811957461","https://openalex.org/W1901774525","https://openalex.org/W1993441504","https://openalex.org/W2004138302","https://openalex.org/W2009256901","https://openalex.org/W2043896016","https://openalex.org/W2046892171","https://openalex.org/W2052789583","https://openalex.org/W2069231485","https://openalex.org/W2071973204","https://openalex.org/W2088764904","https://openalex.org/W2089866148","https://openalex.org/W2118951524","https://openalex.org/W2123548779","https://openalex.org/W2142499637","https://openalex.org/W2150068215","https://openalex.org/W2150441064","https://openalex.org/W2235901111","https://openalex.org/W2293404936","https://openalex.org/W2295335535","https://openalex.org/W3144721543","https://openalex.org/W3150574965","https://openalex.org/W4230163235","https://openalex.org/W4244556193"],"related_works":["https://openalex.org/W2015548030","https://openalex.org/W2739428663","https://openalex.org/W2383087774","https://openalex.org/W1992160534","https://openalex.org/W2116864555","https://openalex.org/W2389906634","https://openalex.org/W2392199123","https://openalex.org/W2148542317","https://openalex.org/W1562406979","https://openalex.org/W4239527536"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}