{"id":"https://openalex.org/W2148757083","doi":"https://doi.org/10.1007/s10851-011-0284-0","title":"Transportation Distances on the Circle","display_name":"Transportation Distances on the Circle","publication_year":2011,"publication_date":"2011-05-05","ids":{"openalex":"https://openalex.org/W2148757083","doi":"https://doi.org/10.1007/s10851-011-0284-0","mag":"2148757083"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-011-0284-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-011-0284-0","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0906.5499","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030910160","display_name":"Julien Rabin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]},{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Julien Rabin","raw_affiliation_strings":["CMLA, ENS de Cachan, 61, Avenue du Pr\u00e9sident Wilson, 94230, Cachan, France","Laboratoire Traitement et Communication de l'Information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMLA, ENS de Cachan, 61, Avenue du Pr\u00e9sident Wilson, 94230, Cachan, France","institution_ids":["https://openalex.org/I11559806"]},{"raw_affiliation_string":"Laboratoire Traitement et Communication de l'Information","institution_ids":["https://openalex.org/I4210165912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019518434","display_name":"Julie Delon","orcid":"https://orcid.org/0000-0002-7182-7537"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Julie Delon","raw_affiliation_strings":["CNRS LTCI, T\u00e9l\u00e9com ParisTech, 46 rue Barrault, 75634, Paris Cedex 13, France","Laboratoire Traitement et Communication de l'Information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS LTCI, T\u00e9l\u00e9com ParisTech, 46 rue Barrault, 75634, Paris Cedex 13, France","institution_ids":["https://openalex.org/I4210165912","https://openalex.org/I1294671590","https://openalex.org/I12356871"]},{"raw_affiliation_string":"Laboratoire Traitement et Communication de l'Information","institution_ids":["https://openalex.org/I4210165912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112497672","display_name":"Yann Gousseau","orcid":null},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yann Gousseau","raw_affiliation_strings":["CNRS LTCI, T\u00e9l\u00e9com ParisTech, 46 rue Barrault, 75634, Paris Cedex 13, France","Laboratoire Traitement et Communication de l'Information"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS LTCI, T\u00e9l\u00e9com ParisTech, 46 rue Barrault, 75634, Paris Cedex 13, France","institution_ids":["https://openalex.org/I4210165912","https://openalex.org/I1294671590","https://openalex.org/I12356871"]},{"raw_affiliation_string":"Laboratoire Traitement et Communication de l'Information","institution_ids":["https://openalex.org/I4210165912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030910160"],"corresponding_institution_ids":["https://openalex.org/I11559806","https://openalex.org/I4210165912"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":3.7317,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.93146607,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"41","issue":"1-2","first_page":"147","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9484000205993652,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9484000205993652,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9311000108718872,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12351","display_name":"Geometry and complex manifolds","score":0.929099977016449,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7462494969367981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7323147058486938},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.571864664554596},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.5316444039344788},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5108218193054199},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5106392502784729},{"id":"https://openalex.org/keywords/distance-measures","display_name":"Distance measures","score":0.4879540801048279},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.45815929770469666},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4502710998058319},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.4153957664966583},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.39068424701690674},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.376749187707901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1753515601158142},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1627267599105835},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12251341342926025},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11760514974594116}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7462494969367981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7323147058486938},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.571864664554596},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.5316444039344788},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5108218193054199},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5106392502784729},{"id":"https://openalex.org/C2639959","wikidata":"https://www.wikidata.org/wiki/Q1344778","display_name":"Distance measures","level":2,"score":0.4879540801048279},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.45815929770469666},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4502710998058319},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.4153957664966583},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.39068424701690674},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.376749187707901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1753515601158142},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1627267599105835},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12251341342926025},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11760514974594116},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"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":4,"locations":[{"id":"doi:10.1007/s10851-011-0284-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-011-0284-0","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0906.5499","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0906.5499","pdf_url":"https://arxiv.org/pdf/0906.5499","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:HAL:hal-00399832v3","is_oa":false,"landing_page_url":"https://hal.science/hal-00399832","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Imaging and Vision, 2011, 41 (147), &#x27E8;10.1007/s10851-011-0284-0&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.0906.5499","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.0906.5499","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0906.5499","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0906.5499","pdf_url":"https://arxiv.org/pdf/0906.5499","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1542365154","https://openalex.org/W1559169059","https://openalex.org/W1565109018","https://openalex.org/W1585160083","https://openalex.org/W1586565821","https://openalex.org/W1980372935","https://openalex.org/W2004452249","https://openalex.org/W2006957355","https://openalex.org/W2011798344","https://openalex.org/W2018304568","https://openalex.org/W2026309708","https://openalex.org/W2036476462","https://openalex.org/W2037990382","https://openalex.org/W2039935006","https://openalex.org/W2042319042","https://openalex.org/W2052424080","https://openalex.org/W2057175746","https://openalex.org/W2064966839","https://openalex.org/W2074803434","https://openalex.org/W2079082863","https://openalex.org/W2085477622","https://openalex.org/W2085491337","https://openalex.org/W2090220859","https://openalex.org/W2093990122","https://openalex.org/W2096413780","https://openalex.org/W2099475475","https://openalex.org/W2115425050","https://openalex.org/W2117616929","https://openalex.org/W2126710118","https://openalex.org/W2129174410","https://openalex.org/W2133718258","https://openalex.org/W2137243801","https://openalex.org/W2143668817","https://openalex.org/W2144967509","https://openalex.org/W2149498267","https://openalex.org/W2151103935","https://openalex.org/W2162104217","https://openalex.org/W2163380389","https://openalex.org/W2168849852","https://openalex.org/W2467020497","https://openalex.org/W2491954325","https://openalex.org/W2501937791","https://openalex.org/W2539033431","https://openalex.org/W2613728133","https://openalex.org/W3099494581","https://openalex.org/W3123221209","https://openalex.org/W3140428646","https://openalex.org/W3140724717","https://openalex.org/W4239749705","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W2169691698","https://openalex.org/W2084461251","https://openalex.org/W4200005214","https://openalex.org/W2389997606","https://openalex.org/W4389080932","https://openalex.org/W3094100733","https://openalex.org/W4366993181","https://openalex.org/W2083244827","https://openalex.org/W2014963191","https://openalex.org/W3163126705"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2016-06-24T00:00:00"}
