{"id":"https://openalex.org/W4295336573","doi":"https://doi.org/10.1007/978-3-031-30923-6_4","title":"Conjecture on\u00a0Characterisation of\u00a0Bijective 3D Digitized Reflections and\u00a0Rotations","display_name":"Conjecture on\u00a0Characterisation of\u00a0Bijective 3D Digitized Reflections and\u00a0Rotations","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4295336573","doi":"https://doi.org/10.1007/978-3-031-30923-6_4"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-30923-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-30923-6_4","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":true,"oa_status":"green","oa_url":"https://hal.science/hal-03764839","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047133071","display_name":"St\u00e9phane Breuils","orcid":"https://orcid.org/0000-0002-8636-4977"},"institutions":[{"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/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"St\u00e9phane Breuils","raw_affiliation_strings":["University of Savoie Mont-Blanc, LAMA Laboratory, Chamb\u00e9ry, France"],"raw_orcid":"https://orcid.org/0000-0002-8636-4977","affiliations":[{"raw_affiliation_string":"University of Savoie Mont-Blanc, LAMA Laboratory, Chamb\u00e9ry, France","institution_ids":["https://openalex.org/I70900168","https://openalex.org/I4210144844"]}]},{"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yukiko Kenmochi","raw_affiliation_strings":["Normandie Univ., UNICAEN, ENSICAEN, CNRS, GREYC, Caen, France"],"raw_orcid":"https://orcid.org/0000-0001-9648-326X","affiliations":[{"raw_affiliation_string":"Normandie Univ., UNICAEN, ENSICAEN, CNRS, GREYC, Caen, France","institution_ids":["https://openalex.org/I98702875","https://openalex.org/I194210350","https://openalex.org/I4210139483","https://openalex.org/I4210105918","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015349471","display_name":"\u00c9ric Andr\u00e8s","orcid":"https://orcid.org/0000-0002-8518-9193"},"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/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Andres","raw_affiliation_strings":["University of Poitiers, XLIM Laboratory, UMR CNRS 7252, Poitiers, France"],"raw_orcid":"https://orcid.org/0000-0002-8518-9193","affiliations":[{"raw_affiliation_string":"University of Poitiers, XLIM Laboratory, UMR CNRS 7252, Poitiers, France","institution_ids":["https://openalex.org/I32881790","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101463320","display_name":"Akihiro Sugimoto","orcid":"https://orcid.org/0000-0001-9148-9822"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akihiro Sugimoto","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0001-9148-9822","affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047133071"],"corresponding_institution_ids":["https://openalex.org/I4210144844","https://openalex.org/I70900168"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3651,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.92202109,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"41","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9715999960899353,"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"}},{"id":"https://openalex.org/T10888","display_name":"Augmented Reality Applications","score":0.9334999918937683,"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":0.9744963645935059},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.6558932662010193},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.6514940857887268},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5442318320274353},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5060574412345886},{"id":"https://openalex.org/keywords/quaternion-algebra","display_name":"Quaternion algebra","score":0.43511611223220825},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3988493084907532},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3132191300392151},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2920795977115631},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2801903486251831},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.15773406624794006},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.10986331105232239}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9744963645935059},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.6558932662010193},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.6514940857887268},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5442318320274353},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5060574412345886},{"id":"https://openalex.org/C151640129","wikidata":"https://www.wikidata.org/wiki/Q2835967","display_name":"Quaternion algebra","level":5,"score":0.43511611223220825},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3988493084907532},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3132191300392151},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2920795977115631},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2801903486251831},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.15773406624794006},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.10986331105232239}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-031-30923-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-30923-6_4","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:HAL:hal-03764839v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03764839","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Graphics International CGI 2022, Sep 2022, Gen\u00e8ve, Switzerland. pp.41-53, &#x27E8;10.1007/978-3-031-30923-6_4&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03764839v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03764839","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computer Graphics International CGI 2022, Sep 2022, Gen\u00e8ve, Switzerland. pp.41-53, &#x27E8;10.1007/978-3-031-30923-6_4&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W178039687","https://openalex.org/W1600874933","https://openalex.org/W2035811475","https://openalex.org/W2082565556","https://openalex.org/W2116978119","https://openalex.org/W2194839792","https://openalex.org/W2464693017","https://openalex.org/W2733334860","https://openalex.org/W2898112699","https://openalex.org/W3161268151","https://openalex.org/W6968593769"],"related_works":["https://openalex.org/W2058788062","https://openalex.org/W4362700167","https://openalex.org/W775106713","https://openalex.org/W2946572075","https://openalex.org/W4291249731","https://openalex.org/W2949247699","https://openalex.org/W2377268185","https://openalex.org/W2382267983","https://openalex.org/W2091132606","https://openalex.org/W4297956193"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
