{"id":"https://openalex.org/W2964027251","doi":"https://doi.org/10.20382/jocg.v7i1a12","title":"An algorithm for the Euclidean cell decomposition of a non-compact strictly convex projective surface","display_name":"An algorithm for the Euclidean cell decomposition of a non-compact strictly convex projective surface","publication_year":2015,"publication_date":"2015-09-25","ids":{"openalex":"https://openalex.org/W2964027251","doi":"https://doi.org/10.20382/jocg.v7i1a12","mag":"2964027251"},"language":"en","primary_location":{"id":"pmh:oai:journals.carleton.ca/jocg:article/241","is_oa":false,"landing_page_url":"http://jocg.org/index.php/jocg/article/view/241","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of Computational Geometry; Vol 7, No 1 (2016); 237\u00e2\u0080\u0093255","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://jocg.org/index.php/jocg/article/view/3016","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060650935","display_name":"Stephan Tillmann","orcid":"https://orcid.org/0000-0001-6731-0327"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Tillmann, Stephan","raw_affiliation_strings":["The University of Sydney"],"affiliations":[{"raw_affiliation_string":"The University of Sydney","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029179453","display_name":"Sampson Wong","orcid":"https://orcid.org/0000-0003-3803-3804"},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wong, Sampson","raw_affiliation_strings":["The University of Sydney"],"affiliations":[{"raw_affiliation_string":"The University of Sydney","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060650935"],"corresponding_institution_ids":["https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":0.8923,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84378863,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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":0.9990000128746033,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9952999949455261,"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":0.5487079620361328},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5296511650085449},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5027058124542236},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.5013852119445801},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.47940966486930847},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.465386301279068},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.45462584495544434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3979206085205078},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3653147220611572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3319023549556732},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.31845784187316895},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.20517036318778992},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15388324856758118},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06735733151435852}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5487079620361328},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5296511650085449},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5027058124542236},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.5013852119445801},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.47940966486930847},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.465386301279068},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.45462584495544434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3979206085205078},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3653147220611572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3319023549556732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.31845784187316895},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.20517036318778992},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15388324856758118},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06735733151435852},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:journals.carleton.ca/jocg:article/241","is_oa":false,"landing_page_url":"http://jocg.org/index.php/jocg/article/view/241","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Journal of Computational Geometry; Vol 7, No 1 (2016); 237\u00e2\u0080\u0093255","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:ojs.library.carleton.ca:article/3016","is_oa":true,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/3016","pdf_url":"https://jocg.org/index.php/jocg/article/view/3016","source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Geometry; Vol. 7 No. 1 (2016); 237\u2013255","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:af7265f2e85f45acbde4f7ada5b8dedb","is_oa":true,"landing_page_url":"https://doaj.org/article/af7265f2e85f45acbde4f7ada5b8dedb","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Geometry, Vol 7, Iss 1 (2016)","raw_type":"article"},{"id":"doi:10.20382/jocg.v7i1a12","is_oa":true,"landing_page_url":"https://doi.org/10.20382/jocg.v7i1a12","pdf_url":null,"source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"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-journal"}],"best_oa_location":{"id":"pmh:oai:ojs.library.carleton.ca:article/3016","is_oa":true,"landing_page_url":"https://jocg.org/index.php/jocg/article/view/3016","pdf_url":"https://jocg.org/index.php/jocg/article/view/3016","source":{"id":"https://openalex.org/S4306400962","display_name":"Journal of Computational Geometry (Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67031392","host_organization_name":"Carleton University","host_organization_lineage":["https://openalex.org/I67031392"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Geometry; Vol. 7 No. 1 (2016); 237\u2013255","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G207741159","display_name":null,"funder_award_id":"DP140100158","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"}],"funders":[{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2964027251.pdf","grobid_xml":"https://content.openalex.org/works/W2964027251.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W390001751","https://openalex.org/W1591220647","https://openalex.org/W1592170628","https://openalex.org/W1602669753","https://openalex.org/W1968578728","https://openalex.org/W1978430562","https://openalex.org/W1986803408","https://openalex.org/W1997290951","https://openalex.org/W2065709423","https://openalex.org/W2073270740","https://openalex.org/W2080546910","https://openalex.org/W2203596801","https://openalex.org/W2594141939","https://openalex.org/W2962889517","https://openalex.org/W2963505067","https://openalex.org/W3101337617","https://openalex.org/W3105997822","https://openalex.org/W3215600475"],"related_works":["https://openalex.org/W2111427182","https://openalex.org/W4300856049","https://openalex.org/W2953313174","https://openalex.org/W54701774","https://openalex.org/W1427726556","https://openalex.org/W279202438","https://openalex.org/W1969425543","https://openalex.org/W2725952271","https://openalex.org/W2066191916","https://openalex.org/W2964027251"],"abstract_inverted_index":{"Cooper":[0],"and":[1,5],"Long":[2],"generalised":[3],"Epstein":[4],"Penner's":[6],"Euclidean":[7],"cell":[8],"decomposition":[9,34],"of":[10,14,23],"cusped":[11],"hyperbolic":[12,37],"$n$\u2013manifolds":[13,22],"finite":[15,24],"volume":[16],"to":[17,31,40],"non-compact":[18],"strictly":[19,41],"convex":[20,42],"projective":[21,43],"volume.":[25],"We":[26],"show":[27],"that":[28],"Weeks'":[29],"algorithm":[30],"compute":[32],"this":[33],"for":[35],"a":[36],"surface":[38],"generalises":[39],"surfaces.":[44]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}