{"id":"https://openalex.org/W2592537547","doi":"https://doi.org/10.1007/s10851-017-0706-8","title":"Bijective Digitized Rigid Motions on Subsets of the Plane","display_name":"Bijective Digitized Rigid Motions on Subsets of the Plane","publication_year":2017,"publication_date":"2017-03-10","ids":{"openalex":"https://openalex.org/W2592537547","doi":"https://doi.org/10.1007/s10851-017-0706-8","mag":"2592537547"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-017-0706-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-017-0706-8","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01497610/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071710094","display_name":"Kacper Pluta","orcid":"https://orcid.org/0000-0002-3623-1412"},"institutions":[{"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/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Kacper Pluta","raw_affiliation_strings":["LIGM (UMR 8049), LAMA (UMR 8050), UPEM, UPEC, CNRS, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)","LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 de Paris-Est Marne-la-Vall\u00e9e, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)"],"affiliations":[{"raw_affiliation_string":"LIGM (UMR 8049), LAMA (UMR 8050), UPEM, UPEC, CNRS, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 de Paris-Est Marne-la-Vall\u00e9e, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I4210154111"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061238863","display_name":"Pascal Romon","orcid":"https://orcid.org/0000-0001-8002-3779"},"institutions":[{"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/I197681013","display_name":"Universit\u00e9 Paris-Est Cr\u00e9teil","ror":"https://ror.org/05ggc9x40","country_code":"FR","type":"education","lineage":["https://openalex.org/I197681013"]},{"id":"https://openalex.org/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Romon","raw_affiliation_strings":["LAMA (UMR 8050), UPEM, UPEC, CNRS, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)"],"affiliations":[{"raw_affiliation_string":"LAMA (UMR 8050), UPEM, UPEC, CNRS, Universit\u00e9 Paris-Est, 77454, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]},{"raw_affiliation_string":"LAMA - Laboratoire d'Analyse et de Math\u00e9matiques Appliqu\u00e9es (Universit\u00e9 Paris-Est Cr\u00e9teil LAMA UMR CNRS 8050 UFR des Sciences et Technologie\r\nB\u00e2timent P3 - 4\u00e8me \u00e9tage -61, avenue du G\u00e9n\u00e9ral de Gaulle 94010 Cr\u00e9teil Cedex - France)","institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I197681013","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076743421","display_name":"Yukiko Kenmochi\u22c6","orcid":"https://orcid.org/0000-0001-9648-326X"},"institutions":[{"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/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I2800365227","display_name":"Paris-Est Sup","ror":"https://ror.org/0268ecp52","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800365227"]},{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yukiko Kenmochi","raw_affiliation_strings":["LIGM (UMR 8049), UPEM, CNRS, ESIEE Paris, ENPC, Universit\u00e9 Paris-Est, Marne-la-Vall\u00e9e, France","LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 de Paris-Est Marne-la-Vall\u00e9e, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)"],"affiliations":[{"raw_affiliation_string":"LIGM (UMR 8049), UPEM, CNRS, ESIEE Paris, ENPC, Universit\u00e9 Paris-Est, Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I2800365227","https://openalex.org/I1294671590","https://openalex.org/I4210154111","https://openalex.org/I142631665"]},{"raw_affiliation_string":"LIGM - Laboratoire d'Informatique Gaspard-Monge (Universit\u00e9 de Paris-Est Marne-la-Vall\u00e9e, Cit\u00e9 Descartes, B\u00e2timent Copernic, 5 bd Descartes, 77454 Marne-la-Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I4210154111"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037096002","display_name":"Nicolas Passat","orcid":"https://orcid.org/0000-0002-0320-4581"},"institutions":[{"id":"https://openalex.org/I4210100943","display_name":"Centre de Recherche en Sciences et Technologies de l'Information et de la Communication","ror":"https://ror.org/016wdna72","country_code":"FR","type":"facility","lineage":["https://openalex.org/I154526488","https://openalex.org/I4210100943","https://openalex.org/I4210141980","https://openalex.org/I96226040"]},{"id":"https://openalex.org/I4210137396","display_name":"Centre de Recherche en \u00c9conomie et Statistique","ror":"https://ror.org/0449khs19","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210108488","https://openalex.org/I4210108488","https://openalex.org/I4210137396","https://openalex.org/I4210145102","https://openalex.org/I4210145102","https://openalex.org/I4210150854","https://openalex.org/I84009706"]},{"id":"https://openalex.org/I96226040","display_name":"Universit\u00e9 de Reims Champagne-Ardenne","ror":"https://ror.org/03hypw319","country_code":"FR","type":"education","lineage":["https://openalex.org/I96226040"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Passat","raw_affiliation_strings":["CReSTIC, Universit\u00e9 de Reims Champagne-Ardenne, Reims, France","CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (UFR Sciences Exactes et Naturelles, Moulin de la Housse, BP 1039, 51687 Reims CEDEX 2, FRANCE - France)"],"affiliations":[{"raw_affiliation_string":"CReSTIC, Universit\u00e9 de Reims Champagne-Ardenne, Reims, France","institution_ids":["https://openalex.org/I96226040","https://openalex.org/I4210100943"]},{"raw_affiliation_string":"CRESTIC - Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (UFR Sciences Exactes et Naturelles, Moulin de la Housse, BP 1039, 51687 Reims CEDEX 2, FRANCE - France)","institution_ids":["https://openalex.org/I4210100943","https://openalex.org/I4210137396"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071710094"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210144844","https://openalex.org/I4210152518","https://openalex.org/I4210154111"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":1.0169,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84920243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"59","issue":"1","first_page":"84","last_page":"105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9990000128746033,"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/bijection","display_name":"Bijection","score":0.9128286242485046},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.7892736196517944},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.6126152276992798},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.528233528137207},{"id":"https://openalex.org/keywords/literal","display_name":"Literal (mathematical logic)","score":0.5204377770423889},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5148054957389832},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4973755180835724},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47485852241516113},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.41278812289237976},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.405851811170578},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3343935012817383},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3298490047454834},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30021458864212036}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9128286242485046},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.7892736196517944},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6126152276992798},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.528233528137207},{"id":"https://openalex.org/C2780882242","wikidata":"https://www.wikidata.org/wiki/Q14235582","display_name":"Literal (mathematical logic)","level":2,"score":0.5204377770423889},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5148054957389832},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4973755180835724},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47485852241516113},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.41278812289237976},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.405851811170578},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3343935012817383},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3298490047454834},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30021458864212036}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-017-0706-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-017-0706-8","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:HAL:hal-01497610v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01497610","pdf_url":"https://hal.science/hal-01497610/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Imaging and Vision, 2017, 59 (1), pp.84-105. ⟨10.1007/s10851-017-0706-8⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01497610v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01497610","pdf_url":"https://hal.science/hal-01497610/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Imaging and Vision, 2017, 59 (1), pp.84-105. ⟨10.1007/s10851-017-0706-8⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2592537547.pdf","grobid_xml":"https://content.openalex.org/works/W2592537547.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W367237376","https://openalex.org/W619281182","https://openalex.org/W655968765","https://openalex.org/W1537222648","https://openalex.org/W1597559540","https://openalex.org/W1941835805","https://openalex.org/W1977434146","https://openalex.org/W1992980549","https://openalex.org/W1995903777","https://openalex.org/W2045721025","https://openalex.org/W2089155985","https://openalex.org/W2116978119","https://openalex.org/W2264029789","https://openalex.org/W2279776553","https://openalex.org/W2516521815","https://openalex.org/W4206419197"],"related_works":["https://openalex.org/W2952259524","https://openalex.org/W2279732055","https://openalex.org/W2995857455","https://openalex.org/W4288805235","https://openalex.org/W2027277382","https://openalex.org/W4287020903","https://openalex.org/W1508013399","https://openalex.org/W2998840281","https://openalex.org/W2244279624","https://openalex.org/W2151256890"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}