{"id":"https://openalex.org/W1967628893","doi":"https://doi.org/10.1007/s004540010018","title":"Medians of Discrete Sets according to a Linear Distance","display_name":"Medians of Discrete Sets according to a Linear Distance","publication_year":2000,"publication_date":"2000-05-01","ids":{"openalex":"https://openalex.org/W1967628893","doi":"https://doi.org/10.1007/s004540010018","mag":"1967628893"},"language":"en","primary_location":{"id":"doi:10.1007/s004540010018","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s004540010018","pdf_url":"https://link.springer.com/content/pdf/10.1007/s004540010018.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/s004540010018.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039105479","display_name":"Alain Daurat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210143836","display_name":"Clermont Universit\u00e9","ror":"https://ror.org/03yf5zr20","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210143836"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Daurat","raw_affiliation_strings":["Laboratoire de Logique et d'Informatique de Clermont-1  (LLAIC1),  I.U.T. Informatique, Ensemble Universitaire des C\u00e9zeaux,  B.P. No. 86, 63172 Aubi\u00e8re Cedex, France    daurat@llaic.u-clermont1.fr\n, , , , , , FR","Laboratoire de Logique, Algorithmique et Informatique"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Logique et d'Informatique de Clermont-1  (LLAIC1),  I.U.T. Informatique, Ensemble Universitaire des C\u00e9zeaux,  B.P. No. 86, 63172 Aubi\u00e8re Cedex, France    daurat@llaic.u-clermont1.fr\n, , , , , , FR","institution_ids":["https://openalex.org/I4210143836"]},{"raw_affiliation_string":"Laboratoire de Logique, Algorithmique et Informatique","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023389276","display_name":"Alberto Del Lungo","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Del Lungo","raw_affiliation_strings":["Dipartimento di Matematica, Università di Siena,   Via del Capitano 15, 53100 Siena, Italy   dellungo@unisi.it\n, , , , , , IT","Dipartimento di Matematica"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Università di Siena,   Via del Capitano 15, 53100 Siena, Italy   dellungo@unisi.it\n, , , , , , IT","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Dipartimento di Matematica","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018498749","display_name":"Maurice Nivat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Nivat","raw_affiliation_strings":["Laboratoire d'Informatique, Algorithmique, Fondements et  Applications (LIAFA),   Université Denis Diderot,   2 place Jussieu, 75251 Paris Cedex 05, France  Maurice.Nivat@liafa.jussieu.fr, , , , , , FR","Laboratoire d'informatique Algorithmique : Fondements et Applications"],"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, Algorithmique, Fondements et  Applications (LIAFA),   Université Denis Diderot,   2 place Jussieu, 75251 Paris Cedex 05, France  Maurice.Nivat@liafa.jussieu.fr, , , , , , FR","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210094115"]},{"raw_affiliation_string":"Laboratoire d'informatique Algorithmique : Fondements et Applications","institution_ids":["https://openalex.org/I4210094115"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039105479"],"corresponding_institution_ids":["https://openalex.org/I4210143836"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.2041,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.80563955,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","issue":"4","first_page":"465","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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":0.995199978351593,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9534000158309937,"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/mathematics","display_name":"Mathematics","score":0.8499478101730347},{"id":"https://openalex.org/keywords/parallelogram","display_name":"Parallelogram","score":0.8407671451568604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6849818229675293},{"id":"https://openalex.org/keywords/median","display_name":"Median","score":0.675456702709198},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.596121609210968},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5117189884185791},{"id":"https://openalex.org/keywords/discrete-geometry","display_name":"Discrete geometry","score":0.485320508480072},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45648738741874695},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32187557220458984},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16795477271080017},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06654760241508484}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8499478101730347},{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.8407671451568604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6849818229675293},{"id":"https://openalex.org/C156460124","wikidata":"https://www.wikidata.org/wiki/Q235001","display_name":"Median","level":2,"score":0.675456702709198},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.596121609210968},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5117189884185791},{"id":"https://openalex.org/C4107886","wikidata":"https://www.wikidata.org/wiki/Q906377","display_name":"Discrete geometry","level":2,"score":0.485320508480072},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45648738741874695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32187557220458984},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16795477271080017},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06654760241508484},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s004540010018","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s004540010018","pdf_url":"https://link.springer.com/content/pdf/10.1007/s004540010018.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/s004540010018","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s004540010018","pdf_url":"https://link.springer.com/content/pdf/10.1007/s004540010018.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":[{"display_name":"Sustainable cities and communities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1967628893.pdf","grobid_xml":"https://content.openalex.org/works/W1967628893.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W53547817","https://openalex.org/W1964997205","https://openalex.org/W2027906720","https://openalex.org/W2036252950","https://openalex.org/W2046274683","https://openalex.org/W2093699598","https://openalex.org/W2117639115","https://openalex.org/W2154815812","https://openalex.org/W2467178592"],"related_works":["https://openalex.org/W4210985719","https://openalex.org/W4298181155","https://openalex.org/W2127261674","https://openalex.org/W78786167","https://openalex.org/W2811077673","https://openalex.org/W2110431853","https://openalex.org/W2920999859","https://openalex.org/W4318719150","https://openalex.org/W2057065174","https://openalex.org/W1967628893"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}