{"id":"https://openalex.org/W2895343697","doi":"https://doi.org/10.1145/3360511","title":"Seamless Parametrization with Arbitrary Cones for Arbitrary Genus","display_name":"Seamless Parametrization with Arbitrary Cones for Arbitrary Genus","publication_year":2019,"publication_date":"2019-12-20","ids":{"openalex":"https://openalex.org/W2895343697","doi":"https://doi.org/10.1145/3360511","mag":"2895343697"},"language":"en","primary_location":{"id":"doi:10.1145/3360511","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3360511","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.02460","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074090356","display_name":"Marcel Campen","orcid":"https://orcid.org/0000-0003-2340-3462"},"institutions":[{"id":"https://openalex.org/I170658231","display_name":"Osnabr\u00fcck University","ror":"https://ror.org/04qmmjx98","country_code":"DE","type":"education","lineage":["https://openalex.org/I170658231"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marcel Campen","raw_affiliation_strings":["Osnabr\u00fcck University, Osnabr\u00fcck, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Osnabr\u00fcck University, Osnabr\u00fcck, Germany","institution_ids":["https://openalex.org/I170658231"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049326319","display_name":"Hanxiao Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hanxiao Shen","raw_affiliation_strings":["New York University, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University, New York, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046254454","display_name":"Jiaran Zhou","orcid":"https://orcid.org/0000-0002-2943-2806"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaran Zhou","raw_affiliation_strings":["Shandong University, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061986862","display_name":"Denis Zorin","orcid":"https://orcid.org/0000-0001-7733-5501"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Denis Zorin","raw_affiliation_strings":["New York University, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University, New York, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.6713,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.96178344,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"39","issue":"1","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9991999864578247,"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/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.831861138343811},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.6501447558403015},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5325058698654175},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.48516589403152466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4686174988746643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45381802320480347},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4436173737049103},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.42506328225135803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41755905747413635},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41751036047935486},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4128771126270294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35779911279678345},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18415674567222595}],"concepts":[{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.831861138343811},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6501447558403015},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5325058698654175},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.48516589403152466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4686174988746643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45381802320480347},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4436173737049103},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.42506328225135803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41755905747413635},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41751036047935486},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4128771126270294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35779911279678345},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18415674567222595},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3360511","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3360511","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1810.02460","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.02460","pdf_url":"https://arxiv.org/pdf/1810.02460","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:1810.02460","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.02460","pdf_url":"https://arxiv.org/pdf/1810.02460","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":[{"display_name":"Life below water","id":"https://metadata.un.org/sdg/14","score":0.7900000214576721}],"awards":[{"id":"https://openalex.org/G7013529417","display_name":null,"funder_award_id":"IIS-1320635, DMS-1436591","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W1585247684","https://openalex.org/W1600753972","https://openalex.org/W1621614599","https://openalex.org/W1970014692","https://openalex.org/W1990120195","https://openalex.org/W1998373192","https://openalex.org/W2015774454","https://openalex.org/W2015846372","https://openalex.org/W2032733861","https://openalex.org/W2036880885","https://openalex.org/W2047131312","https://openalex.org/W2073696569","https://openalex.org/W2079804759","https://openalex.org/W2082388593","https://openalex.org/W2083882783","https://openalex.org/W2084533748","https://openalex.org/W2093766264","https://openalex.org/W2094366023","https://openalex.org/W2098202941","https://openalex.org/W2111501452","https://openalex.org/W2111956571","https://openalex.org/W2117141060","https://openalex.org/W2119166500","https://openalex.org/W2122430077","https://openalex.org/W2123858814","https://openalex.org/W2124014126","https://openalex.org/W2131717552","https://openalex.org/W2134398882","https://openalex.org/W2136126748","https://openalex.org/W2143897237","https://openalex.org/W2148892491","https://openalex.org/W2151761304","https://openalex.org/W2161987835","https://openalex.org/W2170823751","https://openalex.org/W2171603394","https://openalex.org/W2315178409","https://openalex.org/W2474764209","https://openalex.org/W2515545696","https://openalex.org/W2552221052","https://openalex.org/W2552604089","https://openalex.org/W2607599593","https://openalex.org/W2731194386","https://openalex.org/W2736383202","https://openalex.org/W2736386853","https://openalex.org/W2737714301","https://openalex.org/W2738480155","https://openalex.org/W2790723384","https://openalex.org/W2809769628","https://openalex.org/W2810836866","https://openalex.org/W2811074360","https://openalex.org/W2911897475","https://openalex.org/W2912736831","https://openalex.org/W2959482175","https://openalex.org/W2962889517","https://openalex.org/W2992187986","https://openalex.org/W3124421169","https://openalex.org/W3202969107","https://openalex.org/W4211206512","https://openalex.org/W4239416908","https://openalex.org/W4241614188","https://openalex.org/W4246001026","https://openalex.org/W4246041266","https://openalex.org/W4256700228","https://openalex.org/W4299672679","https://openalex.org/W4311908169"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W1985458517","https://openalex.org/W2355833770","https://openalex.org/W3031039437","https://openalex.org/W183202219","https://openalex.org/W3095877357","https://openalex.org/W2023302659","https://openalex.org/W2028729822","https://openalex.org/W2513795478"],"abstract_inverted_index":{"Seamless":[0],"global":[1,122],"parametrization":[2,33,62,124],"of":[3,32,80,91,113,130,178],"surfaces":[4],"is":[5,21,63,137,154],"a":[6,38,43,68,101,121,143,157,163,169,175,188],"key":[7],"operation":[8],"in":[9,28,166],"geometry":[10],"processing,":[11],"e.g.,":[12],"for":[13,72,109,146,162,195],"high-quality":[14],"quad":[15],"mesh":[16],"generation.":[17],"A":[18],"common":[19],"approach":[20],"to":[22,65,103,142],"prescribe":[23],"the":[24,30,81,89,128],"parametric":[25,116],"domain":[26],"structure,":[27],"particular,":[29],"locations":[31],"singularities":[34],"(cones),":[35],"and":[36,139,192],"solve":[37],"non-convex":[39],"optimization":[40,159],"problem":[41,95,160],"minimizing":[42],"distortion":[44,197],"measure,":[45],"with":[46,118,156,168],"local":[47],"injectivity":[48,200],"imposed":[49],"through":[50],"either":[51],"constraints":[52,82],"or":[53],"barrier":[54],"terms.":[55],"In":[56],"both":[57],"cases,":[58],"an":[59,74],"initial":[60,182],"valid":[61,189],"essential":[64],"serve":[66,186],"as":[67,187],"feasible":[69],"starting":[70,190],"point":[71,191],"obtaining":[73],"optimized":[75,194],"solution.":[76],"While":[77],"convexified":[78],"versions":[79],"eliminate":[83],"this":[84,152,179],"initialization":[85],"requirement,":[86],"they":[87],"narrow":[88],"range":[90],"solutions,":[92],"causing":[93],"some":[94],"instances":[96],"that":[97,108],"actually":[98],"do":[99],"have":[100],"solution":[102],"become":[104],"infeasible.":[105],"We":[106],"demonstrate":[107],"arbitrary":[110],"given":[111],"sets":[112],"topologically":[114],"admissible":[115],"cones":[117],"prescribed":[119],"curvature,":[120],"seamless":[123,176],"always":[125],"exists":[126],"(with":[127],"exception":[129],"one":[131],"well-known":[132],"case).":[133],"Importantly,":[134],"our":[135],"proof":[136],"constructive":[138],"directly":[140],"leads":[141],"general":[144],"algorithm":[145,153],"computing":[147],"such":[148],"parametrizations.":[149],"Most":[150],"distinctively,":[151],"bootstrapped":[155],"convex":[158],"(solving":[161],"conformal":[164],"map),":[165],"tandem":[167],"simple":[170],"linear":[171],"equation":[172],"system":[173],"(determining":[174],"modification":[177],"map).":[180],"This":[181],"map":[183],"can":[184],"then":[185],"be":[193],"low":[196],"using":[198],"existing":[199],"preserving":[201],"methods.":[202]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":6}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2018-10-12T00:00:00"}
