{"id":"https://openalex.org/W1523737278","doi":"https://doi.org/10.1007/11775096_17","title":"Distributions of Points and Large Convex Hulls of k Points","display_name":"Distributions of Points and Large Convex Hulls of k Points","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1523737278","doi":"https://doi.org/10.1007/11775096_17","mag":"1523737278"},"language":"en","primary_location":{"id":"doi:10.1007/11775096_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11775096_17","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":"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/A5111723650","display_name":"Hanno Lefmann","orcid":null},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Hanno Lefmann","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Informatik, TU Chemnitz, D-09107, Chemnitz, Germany"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Informatik, TU Chemnitz, D-09107, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111723650"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.5643,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.87028519,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.996999979019165,"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"}},"topics":[{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.996999979019165,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.7181243896484375},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5954428911209106},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5861249566078186},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.5662129521369934},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37363186478614807},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3700617551803589},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2941547930240631},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26220908761024475},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08796846866607666},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.050688475370407104}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.7181243896484375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5954428911209106},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5861249566078186},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.5662129521369934},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37363186478614807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3700617551803589},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2941547930240631},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26220908761024475},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08796846866607666},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.050688475370407104}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11775096_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11775096_17","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:CiteSeerX.psu:10.1.1.404.2287","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.404.2287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tu-chemnitz.de/informatik/ThIS/downloads/publications/lefmann_aaim278.pdf","raw_type":"text"}],"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/W1506292197","https://openalex.org/W1515405428","https://openalex.org/W1541412821","https://openalex.org/W1557027117","https://openalex.org/W1923092535","https://openalex.org/W1966946221","https://openalex.org/W1973869677","https://openalex.org/W2016274862","https://openalex.org/W2022503542","https://openalex.org/W2025476340","https://openalex.org/W2050465454","https://openalex.org/W2053200378","https://openalex.org/W2056901435","https://openalex.org/W2066285430","https://openalex.org/W2070152596","https://openalex.org/W2071474047","https://openalex.org/W2075552616","https://openalex.org/W2078939351","https://openalex.org/W2093784222","https://openalex.org/W3138146869","https://openalex.org/W4236007352","https://openalex.org/W4252779103"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2467926385","https://openalex.org/W2893068807","https://openalex.org/W161301265","https://openalex.org/W2483619716","https://openalex.org/W4246461909","https://openalex.org/W2377576908","https://openalex.org/W2971424936","https://openalex.org/W2007256320","https://openalex.org/W2991249704"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
