{"id":"https://openalex.org/W1958842305","doi":"https://doi.org/10.1007/978-3-540-87744-8_15","title":"Decompositions and Boundary Coverings of Non-convex Fat Polyhedra","display_name":"Decompositions and Boundary Coverings of Non-convex Fat Polyhedra","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1958842305","doi":"https://doi.org/10.1007/978-3-540-87744-8_15","mag":"1958842305"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87744-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87744-8_15","pdf_url":null,"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":"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/A5028410825","display_name":"Mark de Berg","orcid":"https://orcid.org/0000-0001-5770-3784"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Mark de Berg","raw_affiliation_strings":["Department of Computing Science, TU Eindhoven,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Science, TU Eindhoven,","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109898694","display_name":"Chris Gray","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Chris Gray","raw_affiliation_strings":["Department of Computing Science, TU Eindhoven,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing Science, TU Eindhoven,","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06920152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"173","last_page":"184"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.993399977684021,"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/polyhedron","display_name":"Polyhedron","score":0.961648166179657},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6064900159835815},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6027765274047852},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.582116425037384},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.554548442363739},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5445679426193237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.506093442440033},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4344331622123718},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4209814965724945},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.20604360103607178},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1739698052406311},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.11875185370445251},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08573970198631287}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.961648166179657},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6064900159835815},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6027765274047852},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.582116425037384},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.554548442363739},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5445679426193237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.506093442440033},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4344331622123718},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4209814965724945},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.20604360103607178},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1739698052406311},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.11875185370445251},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08573970198631287},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-87744-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87744-8_15","pdf_url":null,"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:pure.tue.nl:openaire_cris_publications/71608ab8-d013-4fc2-9831-cc2984181ca8","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/71608ab8-d013-4fc2-9831-cc2984181ca8","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Berg, de, M & Gray, C M 2008, Decompositions and boundary coverings of non-convex fat polyhedra. in D Halperin & K Mehlhorn (eds), Algorithms - ESA 2008 (16th Annual European Symposium, Karlsruhe, Germany, September 15-17, 2008, Proceedings). Lecture Notes in Computer Science, vol. 5193, Springer, Berlin, pp. 173-184. https://doi.org/10.1007/978-3-540-87744-8_15","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/71608ab8-d013-4fc2-9831-cc2984181ca8","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/71608ab8-d013-4fc2-9831-cc2984181ca8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms - ESA 2008 (16th Annual European Symposium, Karlsruhe, Germany, September 15-17, 2008, Proceedings), 173 - 184","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1481552085","https://openalex.org/W1570805656","https://openalex.org/W1979838628","https://openalex.org/W2003072917","https://openalex.org/W2006696440","https://openalex.org/W2041935575","https://openalex.org/W2045155153","https://openalex.org/W2048215675","https://openalex.org/W2079010364","https://openalex.org/W2106413026","https://openalex.org/W2120039945","https://openalex.org/W2123424922","https://openalex.org/W2141110561","https://openalex.org/W2142728440","https://openalex.org/W2149906774","https://openalex.org/W2170083611","https://openalex.org/W2170429689","https://openalex.org/W2216717618","https://openalex.org/W3023768696","https://openalex.org/W4210283320","https://openalex.org/W4231121233","https://openalex.org/W4251391716"],"related_works":["https://openalex.org/W4239526988","https://openalex.org/W1802456315","https://openalex.org/W4235007892","https://openalex.org/W1584292662","https://openalex.org/W2088151573","https://openalex.org/W4280544053","https://openalex.org/W2180445142","https://openalex.org/W2000878120","https://openalex.org/W4287867686","https://openalex.org/W2369698499"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2016-06-24T00:00:00"}
