{"id":"https://openalex.org/W2926893252","doi":"https://doi.org/10.1137/19m125337x","title":"Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding","display_name":"Parallelizable Global Conformal Parameterization of Simply-Connected Surfaces via Partial Welding","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2926893252","doi":"https://doi.org/10.1137/19m125337x","mag":"2926893252"},"language":"en","primary_location":{"id":"doi:10.1137/19m125337x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m125337x","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1903.12359","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059616736","display_name":"Gary P. T. Choi","orcid":"https://orcid.org/0000-0001-5407-9111"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gary P. T. Choi","raw_affiliation_strings":["John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA"],"affiliations":[{"raw_affiliation_string":"John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087172381","display_name":"Yusan Leung-Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yusan Leung-Liu","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","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, NY 11794, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY 11794, USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046845149","display_name":"Lok Ming Lui","orcid":"https://orcid.org/0000-0002-9152-0743"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Lok Ming Lui","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059616736"],"corresponding_institution_ids":["https://openalex.org/I136199984"],"apc_list":null,"apc_paid":null,"fwci":5.5684,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.97262036,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"13","issue":"3","first_page":"1049","last_page":"1083"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9993000030517578,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.9456803798675537},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.7452213764190674},{"id":"https://openalex.org/keywords/welding","display_name":"Welding","score":0.5589167475700378},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3999379873275757},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36551862955093384},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3603808879852295},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29135191440582275},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24532949924468994},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.1894097626209259},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1619921624660492}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.9456803798675537},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7452213764190674},{"id":"https://openalex.org/C19474535","wikidata":"https://www.wikidata.org/wiki/Q131172","display_name":"Welding","level":2,"score":0.5589167475700378},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3999379873275757},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36551862955093384},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3603808879852295},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29135191440582275},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24532949924468994},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.1894097626209259},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1619921624660492}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m125337x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m125337x","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1903.12359","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.12359","pdf_url":"https://arxiv.org/pdf/1903.12359","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.12359","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.12359","pdf_url":"https://arxiv.org/pdf/1903.12359","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320904","display_name":"Croucher Foundation","ror":"https://ror.org/04741mc34"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":75,"referenced_works":["https://openalex.org/W1499816781","https://openalex.org/W1529895901","https://openalex.org/W1587364410","https://openalex.org/W1591121353","https://openalex.org/W1621614599","https://openalex.org/W1765090992","https://openalex.org/W1819513867","https://openalex.org/W1953448060","https://openalex.org/W1965827371","https://openalex.org/W1966040142","https://openalex.org/W1967138887","https://openalex.org/W1974956622","https://openalex.org/W1976584051","https://openalex.org/W1981002002","https://openalex.org/W1990120195","https://openalex.org/W2005236080","https://openalex.org/W2021879624","https://openalex.org/W2040827466","https://openalex.org/W2045852104","https://openalex.org/W2046252220","https://openalex.org/W2057756020","https://openalex.org/W2063950903","https://openalex.org/W2064233581","https://openalex.org/W2064809245","https://openalex.org/W2065140986","https://openalex.org/W2070448527","https://openalex.org/W2078755009","https://openalex.org/W2085499357","https://openalex.org/W2086211692","https://openalex.org/W2086282744","https://openalex.org/W2096817454","https://openalex.org/W2099151424","https://openalex.org/W2117913575","https://openalex.org/W2123889642","https://openalex.org/W2127033124","https://openalex.org/W2128262415","https://openalex.org/W2129027292","https://openalex.org/W2131283235","https://openalex.org/W2136126748","https://openalex.org/W2142441066","https://openalex.org/W2143897237","https://openalex.org/W2145494682","https://openalex.org/W2161847746","https://openalex.org/W2250107905","https://openalex.org/W2272740539","https://openalex.org/W2273603639","https://openalex.org/W2295766446","https://openalex.org/W2381802938","https://openalex.org/W2500457287","https://openalex.org/W2505390647","https://openalex.org/W2605879901","https://openalex.org/W2607599593","https://openalex.org/W2612496203","https://openalex.org/W2622881350","https://openalex.org/W2740795187","https://openalex.org/W2773398315","https://openalex.org/W2893386603","https://openalex.org/W2904291448","https://openalex.org/W2950053202","https://openalex.org/W2962753266","https://openalex.org/W2963608135","https://openalex.org/W2963673360","https://openalex.org/W2975086671","https://openalex.org/W3000211808","https://openalex.org/W3098744130","https://openalex.org/W3100912997","https://openalex.org/W3101933924","https://openalex.org/W3103235928","https://openalex.org/W3124421169","https://openalex.org/W4206225701","https://openalex.org/W4206276135","https://openalex.org/W4246001026","https://openalex.org/W4298870388","https://openalex.org/W4299944723","https://openalex.org/W4385484259"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4285069850","https://openalex.org/W4240963716","https://openalex.org/W2935759653","https://openalex.org/W2891970004","https://openalex.org/W1974634278","https://openalex.org/W1996916724","https://openalex.org/W3105167352","https://openalex.org/W1596637634","https://openalex.org/W54078636"],"abstract_inverted_index":{"Conformal":[0],"surface":[1,33,81],"parameterization":[2,54,70,144,170,178,201],"is":[3,82,118],"useful":[4],"in":[5,26,98,209],"graphics,":[6],"imaging,":[7],"and":[8,19,28,175,213],"visualization,":[9],"with":[10,40,149],"applications":[11],"to":[12,166,187,197],"texture":[13],"mapping,":[14],"atlas":[15],"construction,":[16],"registration,":[17],"remeshing,":[18],"so":[20],"on.":[21],"With":[22],"the":[23,52,67,103,128,135,146,189,198],"increasing":[24],"capability":[25],"scanning":[27],"storing":[29],"data,":[30],"dense":[31],"3D":[32],"meshes":[34,39],"are":[35,95,106,185],"common":[36],"nowadays.":[37],"While":[38],"higher":[41],"resolution":[42],"better":[43],"resemble":[44],"smooth":[45],"surfaces,":[46],"they":[47],"pose":[48],"computational":[49,211],"difficulties":[50],"for":[51,65,131,171,179],"existing":[53],"algorithms.":[55],"In":[56],"this":[57],"work,":[58],"we":[59,139],"propose":[60],"a":[61,111,141,206],"novel":[62,112],"parallelizable":[63],"algorithm":[64],"computing":[66],"global":[68,142],"conformal":[69,90,122,143,169,177,200],"of":[71,92,102,145,191],"simply-connected":[72,80,172],"surfaces":[73,174],"via":[74],"partial":[75,115],"welding":[76,123],"maps.":[77],"A":[78],"given":[79,147],"first":[83],"partitioned":[84],"into":[85],"smaller":[86],"subdomains.":[87],"The":[88,100],"local":[89],"parameterizations":[91],"all":[93],"subdomains":[94,105],"then":[96],"computed":[97],"parallel.":[99],"boundaries":[101],"parameterized":[104],"subsequently":[107],"integrated":[108],"consistently":[109],"using":[110,134],"technique":[113],"called":[114],"welding,":[116],"which":[117],"developed":[119],"based":[120],"on":[121],"theory.":[124,154],"Finally,":[125],"by":[126,152],"solving":[127],"Laplace":[129],"equation":[130],"each":[132],"subdomain":[133],"updated":[136],"boundary":[137],"conditions,":[138],"obtain":[140],"surface,":[148],"bijectivity":[150],"guaranteed":[151],"quasi-conformal":[153],"By":[155],"including":[156],"additional":[157],"shape":[158],"constraints,":[159],"our":[160,192,203],"method":[161,204],"can":[162],"be":[163],"easily":[164],"extended":[165],"achieve":[167],"disk":[168],"open":[173],"spherical":[176],"genus-0":[180],"closed":[181],"surfaces.":[182],"Experimental":[183],"results":[184],"presented":[186],"demonstrate":[188],"effectiveness":[190],"proposed":[193],"algorithm.":[194],"When":[195],"compared":[196],"state-of-the-art":[199],"methods,":[202],"achieves":[205],"significant":[207],"improvement":[208],"both":[210],"time":[212],"accuracy.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}