{"id":"https://openalex.org/W1471340855","doi":"https://doi.org/10.1007/s00454-016-9832-0","title":"Encoding Toroidal Triangulations","display_name":"Encoding Toroidal Triangulations","publication_year":2016,"publication_date":"2016-10-26","ids":{"openalex":"https://openalex.org/W1471340855","doi":"https://doi.org/10.1007/s00454-016-9832-0","mag":"1471340855"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-016-9832-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9832-0","pdf_url":null,"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 &amp; Computational Geometry","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/1507.05461","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064248690","display_name":"Vincent Despr\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Vincent Despr\u00e9","raw_affiliation_strings":["GIPSA-Lab, University Grenoble Alpes, Grenoble, France","GiPSA-Lab., Univ. Grenoble Alpes, Grenoble, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GIPSA-Lab, University Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006"]},{"raw_affiliation_string":"GiPSA-Lab., Univ. Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I4210124956","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023564551","display_name":"Daniel Gon\u00e7alves","orcid":"https://orcid.org/0000-0003-3228-9622"},"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/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniel Gon\u00e7alves","raw_affiliation_strings":["CNRS, LIRMM, University Montpellier, Montpellier, France","CNRS, LIRMM Univ. Montpellier, Montpellier, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, LIRMM, University Montpellier, Montpellier, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210101743"]},{"raw_affiliation_string":"CNRS, LIRMM Univ. Montpellier, Montpellier, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19894307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063411955","display_name":"Benjamin L\u00e9v\u00eaque","orcid":null},"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/I4210094718","display_name":"Laboratoire des Sciences pour la Conception, l'Optimisation et la Production","ror":"https://ror.org/00rv5x925","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210094718","https://openalex.org/I4210159245","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Benjamin L\u00e9v\u00eaque","raw_affiliation_strings":["CNRS, G-SCOP, University Grenoble Alpes, Grenoble, France","CNRS, G-SCOP, Univ. Grenoble-Alpes, Grenoble, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, G-SCOP, University Grenoble Alpes, Grenoble, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210094718","https://openalex.org/I899635006"]},{"raw_affiliation_string":"CNRS, G-SCOP, Univ. Grenoble-Alpes, Grenoble, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210094718","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5063411955"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210094718","https://openalex.org/I899635006"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00119213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"57","issue":"3","first_page":"507","last_page":"544"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/bijection","display_name":"Bijection","score":0.9703467488288879},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.7893890142440796},{"id":"https://openalex.org/keywords/toroid","display_name":"Toroid","score":0.7664015293121338},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.7366824746131897},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6641957759857178},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6162402629852295},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.5723533034324646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5589954853057861},{"id":"https://openalex.org/keywords/face","display_name":"Face (sociological concept)","score":0.5114694833755493},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.488624632358551},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.4736180007457733},{"id":"https://openalex.org/keywords/rectification","display_name":"Rectification","score":0.43396976590156555},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.43250200152397156},{"id":"https://openalex.org/keywords/orientation","display_name":"Orientation (vector space)","score":0.41567301750183105},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32615384459495544},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3221953511238098},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2970788776874542},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21414396166801453},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17817547917366028},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08321714401245117},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05979686975479126}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.9703467488288879},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.7893890142440796},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.7664015293121338},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7366824746131897},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6641957759857178},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6162402629852295},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.5723533034324646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5589954853057861},{"id":"https://openalex.org/C2779304628","wikidata":"https://www.wikidata.org/wiki/Q3503480","display_name":"Face (sociological concept)","level":2,"score":0.5114694833755493},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.488624632358551},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.4736180007457733},{"id":"https://openalex.org/C50942859","wikidata":"https://www.wikidata.org/wiki/Q4967193","display_name":"Rectification","level":3,"score":0.43396976590156555},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.43250200152397156},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.41567301750183105},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32615384459495544},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3221953511238098},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2970788776874542},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21414396166801453},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17817547917366028},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08321714401245117},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05979686975479126},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00454-016-9832-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9832-0","pdf_url":null,"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 &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1507.05461","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05461","pdf_url":"https://arxiv.org/pdf/1507.05461","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"text"},{"id":"mag:1471340855","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1507.05461","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-01488931v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01488931","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":"Discrete and Computational Geometry, 2017, 57 (3), pp.507-544. &#x27E8;10.1007/s00454-016-9832-0&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1507.05461","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1507.05461","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.05461","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.05461","pdf_url":"https://arxiv.org/pdf/1507.05461","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"text"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6700000166893005}],"awards":[{"id":"https://openalex.org/G1777725156","display_name":null,"funder_award_id":"PERSYVAL-Lab ANR-11-LABX-0025","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6175499886","display_name":"Systemes et Algorithmes Pervasifs au confluent des mondes physique et num\u00e9rique","funder_award_id":"ANR-11-LABX-0025","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7453948019","display_name":null,"funder_award_id":"EGOS ANR-12-JS02-002-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G993501401","display_name":"Embedded Graphs and their Oriented Structures","funder_award_id":"ANR-12-JS02-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W170254964","https://openalex.org/W563645182","https://openalex.org/W1502178383","https://openalex.org/W1504530241","https://openalex.org/W1607543368","https://openalex.org/W1646517075","https://openalex.org/W1938588645","https://openalex.org/W1980941830","https://openalex.org/W1999618093","https://openalex.org/W2015594715","https://openalex.org/W2045870980","https://openalex.org/W2083176195","https://openalex.org/W2093970686","https://openalex.org/W2143239283","https://openalex.org/W2154871611","https://openalex.org/W2170833503","https://openalex.org/W2400966832","https://openalex.org/W2516527296","https://openalex.org/W2526558715","https://openalex.org/W2768011086","https://openalex.org/W2949274641","https://openalex.org/W3000033077","https://openalex.org/W4229967478","https://openalex.org/W4243477649"],"related_works":["https://openalex.org/W2593654595","https://openalex.org/W2737088982","https://openalex.org/W2207957248","https://openalex.org/W2122518686","https://openalex.org/W3036227902","https://openalex.org/W2300971538","https://openalex.org/W2064111866","https://openalex.org/W2108897619","https://openalex.org/W1980941830","https://openalex.org/W2963848193","https://openalex.org/W2963508115","https://openalex.org/W1846422525","https://openalex.org/W2170388943","https://openalex.org/W1757536559","https://openalex.org/W2013194786","https://openalex.org/W2059805604","https://openalex.org/W3013447292","https://openalex.org/W3134500638","https://openalex.org/W3037456441","https://openalex.org/W606979580"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
