{"id":"https://openalex.org/W2068619058","doi":"https://doi.org/10.1007/pl00009407","title":"Angular Properties of Delaunay Diagrams in Any Dimension","display_name":"Angular Properties of Delaunay Diagrams in Any Dimension","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2068619058","doi":"https://doi.org/10.1007/pl00009407","mag":"2068619058"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009407","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009407","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009407.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/PL00009407.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077021941","display_name":"Douglas R. Schmitt","orcid":"https://orcid.org/0000-0001-6920-0658"},"institutions":[{"id":"https://openalex.org/I2800745255","display_name":"Universit\u00e9 de Haute-Alsace","ror":"https://ror.org/04k8k6n84","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800745255"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"D. Schmitt","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, , , , , , FR","Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, FR"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, , , , , , FR","institution_ids":["https://openalex.org/I2800745255"]},{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, FR","institution_ids":["https://openalex.org/I2800745255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029388418","display_name":"Jean-Claude Spehner","orcid":null},"institutions":[{"id":"https://openalex.org/I2800745255","display_name":"Universit\u00e9 de Haute-Alsace","ror":"https://ror.org/04k8k6n84","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800745255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J.-C. Spehner","raw_affiliation_strings":["Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, , , , , , FR","Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, FR"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, , , , , , FR","institution_ids":["https://openalex.org/I2800745255"]},{"raw_affiliation_string":"Laboratoire de Mod\u00e9lisation et Algorithmique G\u00e9om\u00e9trique, Facult\u00e9 des Sciences et Techniques, Universit\u00e9 de Haute-Alsace, 4 rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse C\u00e9dex, France D.Schmitt@univ-mulhouse.fr, JC.Spehner@univ-mulhouse.fr, FR","institution_ids":["https://openalex.org/I2800745255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077021941"],"corresponding_institution_ids":["https://openalex.org/I2800745255"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3526,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66363636,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"1","first_page":"17","last_page":"36"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T11106","display_name":"Data Management and Algorithms","score":0.9681000113487244,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9501000046730042,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental 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":0.9145240783691406},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.8465335965156555},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.7277294397354126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7183619141578674},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.6294218897819519},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5533841252326965},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5436590909957886},{"id":"https://openalex.org/keywords/pitteway-triangulation","display_name":"Pitteway triangulation","score":0.49222531914711},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.4314901530742645},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.37327951192855835},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3446260988712311}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.9145240783691406},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.8465335965156555},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.7277294397354126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7183619141578674},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.6294218897819519},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5533841252326965},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5436590909957886},{"id":"https://openalex.org/C178609930","wikidata":"https://www.wikidata.org/wiki/Q3538712","display_name":"Pitteway triangulation","level":3,"score":0.49222531914711},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.4314901530742645},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37327951192855835},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3446260988712311},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009407","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009407","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009407.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/pl00009407","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00009407","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00009407.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2068619058.pdf","grobid_xml":"https://content.openalex.org/works/W2068619058.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1542085343","https://openalex.org/W1967005434","https://openalex.org/W1977649561","https://openalex.org/W2005314985","https://openalex.org/W2028864160","https://openalex.org/W2035774625","https://openalex.org/W2037855401","https://openalex.org/W2087806435","https://openalex.org/W2092924973","https://openalex.org/W2103777374","https://openalex.org/W2127103993","https://openalex.org/W2162918363","https://openalex.org/W2658598504","https://openalex.org/W4240145741","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2001351033","https://openalex.org/W109258179","https://openalex.org/W2347819474","https://openalex.org/W2026181493","https://openalex.org/W1979362696","https://openalex.org/W2381889232","https://openalex.org/W2358109229","https://openalex.org/W2371448287","https://openalex.org/W2354869996","https://openalex.org/W2206755844"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}