{"id":"https://openalex.org/W2125351893","doi":"https://doi.org/10.1109/smi.2009.5170148","title":"Computing Fenchel-Nielsen coordinates in Teichmuller shape Space","display_name":"Computing Fenchel-Nielsen coordinates in Teichmuller shape Space","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2125351893","doi":"https://doi.org/10.1109/smi.2009.5170148","mag":"2125351893"},"language":"en","primary_location":{"id":"doi:10.1109/smi.2009.5170148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2009.5170148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100675221","display_name":"Miao Jin","orcid":"https://orcid.org/0000-0002-0054-4281"},"institutions":[{"id":"https://openalex.org/I79516672","display_name":"University of Louisiana at Lafayette","ror":"https://ror.org/01x8rc503","country_code":"US","type":"education","lineage":["https://openalex.org/I2799628689","https://openalex.org/I79516672"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Miao Jin","raw_affiliation_strings":["The Center for Advanced Computer Studies, University of Louisiana, Lafayette, Lafayette, USA","The Center for Advanced Computer Studies, University of Louisiana at Lafayette, 70506, USA"],"affiliations":[{"raw_affiliation_string":"The Center for Advanced Computer Studies, University of Louisiana, Lafayette, Lafayette, USA","institution_ids":["https://openalex.org/I79516672"]},{"raw_affiliation_string":"The Center for Advanced Computer Studies, University of Louisiana at Lafayette, 70506, USA","institution_ids":["https://openalex.org/I79516672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100660204","display_name":"Wei Zeng","orcid":"https://orcid.org/0000-0002-3351-6973"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wei Zeng","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, USA","Department of Computer Science, Stony Brook University, 11794, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, 11794, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028025375","display_name":"Ning Ding","orcid":"https://orcid.org/0000-0003-0087-4077"},"institutions":[{"id":"https://openalex.org/I79516672","display_name":"University of Louisiana at Lafayette","ror":"https://ror.org/01x8rc503","country_code":"US","type":"education","lineage":["https://openalex.org/I2799628689","https://openalex.org/I79516672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Ding","raw_affiliation_strings":["The Center for Advanced Computer Studies, University of Louisiana, Lafayette, Lafayette, USA","The Center for Advanced Computer Studies, University of Louisiana at Lafayette, 70506, USA"],"affiliations":[{"raw_affiliation_string":"The Center for Advanced Computer Studies, University of Louisiana, Lafayette, Lafayette, USA","institution_ids":["https://openalex.org/I79516672"]},{"raw_affiliation_string":"The Center for Advanced Computer Studies, University of Louisiana at Lafayette, 70506, USA","institution_ids":["https://openalex.org/I79516672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100607707","display_name":"Xianfeng Gu","orcid":"https://orcid.org/0000-0001-8226-5851"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xianfeng Gu","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, USA","Department of Computer Science, Stony Brook University, 11794, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, USA","institution_ids":["https://openalex.org/I59553526"]},{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, 11794, USA","institution_ids":["https://openalex.org/I59553526"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100675221"],"corresponding_institution_ids":["https://openalex.org/I79516672"],"apc_list":null,"apc_paid":null,"fwci":1.7727,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85725589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"63","issue":null,"first_page":"193","last_page":"200"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9994999766349792,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9954000115394592,"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/T12417","display_name":"Morphological variations and asymmetry","score":0.9926999807357788,"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/teichm\u00fcller-space","display_name":"Teichm\u00fcller space","score":0.7742851972579956},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.6645820140838623},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6205389499664307},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6167086362838745},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.5075646638870239},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4939776062965393},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49220600724220276},{"id":"https://openalex.org/keywords/riemann-surface","display_name":"Riemann surface","score":0.442798376083374},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.43449434638023376},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42967987060546875},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4230043292045593},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36874818801879883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1379147171974182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13105911016464233}],"concepts":[{"id":"https://openalex.org/C91066650","wikidata":"https://www.wikidata.org/wiki/Q2400539","display_name":"Teichm\u00fcller space","level":3,"score":0.7742851972579956},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.6645820140838623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6205389499664307},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6167086362838745},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.5075646638870239},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4939776062965393},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49220600724220276},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.442798376083374},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43449434638023376},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42967987060546875},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4230043292045593},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36874818801879883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1379147171974182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13105911016464233},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/smi.2009.5170148","is_oa":false,"landing_page_url":"https://doi.org/10.1109/smi.2009.5170148","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Shape Modeling and Applications","raw_type":"proceedings-article"},{"id":"pmh:oai:CULeuclid:euclid.cis/1261671389","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.cis/1261671389","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"pmh:oai:CiteSeerX.psu:10.1.1.391.9877","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.391.9877","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.cacs.louisiana.edu/~mjin/publication/CIS_09_FN.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.392.2093","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.392.2093","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.cacs.louisiana.edu/~mjin/publication/SMI_09_FN.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.410.8920","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.410.8920","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ims.cuhk.edu.hk/~cis/2009.2/CIS_9_2_04.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1486670659","https://openalex.org/W1494599013","https://openalex.org/W1496383623","https://openalex.org/W1547147212","https://openalex.org/W1570864891","https://openalex.org/W1596547119","https://openalex.org/W2005356779","https://openalex.org/W2023056405","https://openalex.org/W2026368027","https://openalex.org/W2046150577","https://openalex.org/W2046267209","https://openalex.org/W2049585080","https://openalex.org/W2057275501","https://openalex.org/W2065838536","https://openalex.org/W2073531889","https://openalex.org/W2094163096","https://openalex.org/W2099151424","https://openalex.org/W2099789128","https://openalex.org/W2113423570","https://openalex.org/W2122563626","https://openalex.org/W2123738319","https://openalex.org/W2124561101","https://openalex.org/W2134090618","https://openalex.org/W2143075606","https://openalex.org/W2159361280","https://openalex.org/W2161520245","https://openalex.org/W2172246656","https://openalex.org/W2486762503","https://openalex.org/W2597608666","https://openalex.org/W3150792027","https://openalex.org/W4252778798","https://openalex.org/W6674187824","https://openalex.org/W6677063927","https://openalex.org/W6678647599","https://openalex.org/W6679931021"],"related_works":["https://openalex.org/W2417347313","https://openalex.org/W2573467363","https://openalex.org/W1998855968","https://openalex.org/W945213037","https://openalex.org/W2038162765","https://openalex.org/W2746649903","https://openalex.org/W613548839","https://openalex.org/W2474848591","https://openalex.org/W2052152136","https://openalex.org/W2884555769"],"abstract_inverted_index":{"Teichmuller":[0,47,59,87,177,207],"shape":[1,30,60,70,208,238],"space":[2,61,178,209],"is":[3,99,113,201],"a":[4,13,22,25,114,169],"finite":[5],"dimensional":[6],"Riemannian":[7],"manifold,":[8],"where":[9],"each":[10,57],"point":[11,44],"represents":[12,24],"class":[14],"of":[15,78,81,106,111,133,143,148,152,165,231],"surfaces,":[16],"which":[17,167],"are":[18,91,129,174,193],"conformally":[19,54],"equivalent,":[20],"and":[21,183,204,217,240],"path":[23],"deformation":[26],"process":[27],"from":[28,224],"one":[29],"to":[31,41,56,100,104],"the":[32,37,42,46,76,79,86,102,127,141,158,186,228,232],"other.":[33,58],"Two":[34],"surfaces":[35,84,222],"in":[36,45,69,85,180],"real":[38,225],"world":[39,226],"correspond":[40],"same":[43],"space,":[48],"only":[49],"if":[50],"they":[51,184],"can":[52,62,136,154,211],"be":[53,63,137,155,212],"mapped":[55],"used":[64,213],"for":[65,214,234],"surface":[66,103,117,188,215],"classification":[67,216],"purpose":[68],"modeling.":[71],"This":[72],"work":[73],"focuses":[74],"on":[75,176,221],"computation":[77],"coordinates":[80,90,210],"high":[82],"genus":[83,115],"space.":[88],"The":[89,96,146,172,199,206],"called":[92],"as":[93],"Fenchel-Nielsen":[94],"coordinates.":[95],"main":[97],"idea":[98],"decompose":[101],"pairs":[105,151,164],"hyperbolic":[107,123,134,197],"pants.":[108],"Each":[109,131],"pair":[110,132],"pants":[112,135,153,166],"zero":[116],"with":[118,122],"three":[119],"boundaries,":[120],"equipped":[121],"metric.":[124],"Furthermore,":[125],"all":[126],"boundaries":[128],"geodesics.":[130],"uniquely":[138],"described":[139],"by":[140,157],"lengths":[142],"its":[144],"boundaries.":[145],"way":[147],"gluing":[149],"different":[150],"represented":[156],"twisting":[159],"angles":[160],"between":[161],"two":[162],"adjacent":[163],"share":[168],"common":[170],"boundary.":[171],"algorithms":[173],"based":[175],"theory":[179],"conformal":[181],"geometry,":[182],"utilize":[185],"discrete":[187],"Ricci":[189],"flow.":[190],"Most":[191],"computations":[192],"carried":[194],"out":[195],"using":[196],"geometry.":[198],"method":[200,233],"automatic,":[202],"rigorous":[203],"efficient.":[205],"indexing.":[218],"Experimental":[219],"results":[220],"acquired":[223],"showed":[227],"potential":[229],"value":[230],"geometric":[235],"database":[236],"indexing,":[237],"comparison":[239],"classification.":[241]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
