{"id":"https://openalex.org/W3199976774","doi":"https://doi.org/10.1109/tvcg.2021.3112896","title":"Manifold-Constrained Geometric Optimization via Local Parameterizations","display_name":"Manifold-Constrained Geometric Optimization via Local Parameterizations","publication_year":2021,"publication_date":"2021-09-16","ids":{"openalex":"https://openalex.org/W3199976774","doi":"https://doi.org/10.1109/tvcg.2021.3112896","mag":"3199976774","pmid":"https://pubmed.ncbi.nlm.nih.gov/34529566"},"language":"en","primary_location":{"id":"doi:10.1109/tvcg.2021.3112896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2021.3112896","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5101434625","display_name":"Boyi Hu","orcid":"https://orcid.org/0000-0002-2327-1802"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo-Yi Hu","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-2327-1802","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013723764","display_name":"Chunyang Ye","orcid":"https://orcid.org/0000-0002-2177-8255"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunyang Ye","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100649058","display_name":"Jian\u2010Ping Su","orcid":"https://orcid.org/0000-0003-3692-6510"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Ping Su","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-3692-6510","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100635702","display_name":"Ligang Liu","orcid":"https://orcid.org/0000-0003-4352-1431"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ligang Liu","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-4352-1431","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.3452,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.54154934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"29","issue":"2","first_page":"1318","last_page":"1329"},"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":0.9986000061035156,"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":0.998199999332428,"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/computer-science","display_name":"Computer science","score":0.6038152575492859},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5952120423316956},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5862860083580017},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.5255259871482849},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5150956511497498},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5012187957763672},{"id":"https://openalex.org/keywords/topology-optimization","display_name":"Topology optimization","score":0.474225252866745},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4064098298549652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3404656946659088}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6038152575492859},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5952120423316956},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5862860083580017},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.5255259871482849},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5150956511497498},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5012187957763672},{"id":"https://openalex.org/C189216461","wikidata":"https://www.wikidata.org/wiki/Q2443456","display_name":"Topology optimization","level":3,"score":0.474225252866745},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4064098298549652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3404656946659088},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tvcg.2021.3112896","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvcg.2021.3112896","pdf_url":null,"source":{"id":"https://openalex.org/S84775595","display_name":"IEEE Transactions on Visualization and Computer Graphics","issn_l":"1077-2626","issn":["1077-2626","1941-0506","2160-9306"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Visualization and Computer Graphics","raw_type":"journal-article"},{"id":"pmid:34529566","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34529566","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on visualization and computer graphics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3361998035","display_name":null,"funder_award_id":"62025207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W162473485","https://openalex.org/W1967672419","https://openalex.org/W1998373192","https://openalex.org/W2031455835","https://openalex.org/W2076159000","https://openalex.org/W2087366393","https://openalex.org/W2094732964","https://openalex.org/W2112997637","https://openalex.org/W2113085766","https://openalex.org/W2124404145","https://openalex.org/W2129544656","https://openalex.org/W2131911297","https://openalex.org/W2134448913","https://openalex.org/W2135170744","https://openalex.org/W2142477230","https://openalex.org/W2145494682","https://openalex.org/W2379733883","https://openalex.org/W2474764209","https://openalex.org/W2554087130","https://openalex.org/W2556730860","https://openalex.org/W2736386853","https://openalex.org/W2769924599","https://openalex.org/W2770161079","https://openalex.org/W2803208241","https://openalex.org/W2804065713","https://openalex.org/W2809769628","https://openalex.org/W2811074360","https://openalex.org/W2889202335","https://openalex.org/W2902857675","https://openalex.org/W2915668163","https://openalex.org/W2961076815","https://openalex.org/W2962889517","https://openalex.org/W2971107347","https://openalex.org/W2975607047","https://openalex.org/W2986298149","https://openalex.org/W3000211808","https://openalex.org/W3024463456","https://openalex.org/W3033607526","https://openalex.org/W3043113236","https://openalex.org/W3082310923","https://openalex.org/W3085971967","https://openalex.org/W3110297404","https://openalex.org/W3122823243","https://openalex.org/W3143425678","https://openalex.org/W3202969107","https://openalex.org/W4246041266","https://openalex.org/W6667882451","https://openalex.org/W6680055888","https://openalex.org/W6682441149","https://openalex.org/W6893761119"],"related_works":["https://openalex.org/W3123416417","https://openalex.org/W2355999325","https://openalex.org/W2000609527","https://openalex.org/W2357354566","https://openalex.org/W4312509357","https://openalex.org/W1979603484","https://openalex.org/W3176593762","https://openalex.org/W23263483","https://openalex.org/W2884225201","https://openalex.org/W3104770499"],"abstract_inverted_index":{"Many":[0],"geometric":[1,49,136],"optimization":[2,36,50,64,137],"problems":[3],"contain":[4],"manifold":[5,15,121],"constraints":[6,18,71,109],"that":[7,142],"restrict":[8],"the":[9,63,77,97,112,119,125],"optimized":[10],"vertices":[11,106],"on":[12],"some":[13],"specified":[14],"surface.":[16,122],"The":[17],"are":[19],"highly":[20],"nonlinear":[21,70],"and":[22,110,127],"non-convex,":[23],"therefore":[24],"existing":[25,149],"methods":[26],"usually":[27],"suffer":[28],"from":[29],"a":[30,43,81,133],"breach":[31],"of":[32,83,129,135],"condition":[33],"or":[34,85],"low":[35,102],"quality.":[37],"In":[38],"this":[39],"article,":[40],"we":[41,115],"present":[42],"novel":[44],"divide-and-conquer":[45],"methodology":[46,55,131],"for":[47],"manifold-constrained":[48],"problems.":[51],"Central":[52],"to":[53,57,61],"our":[54,130,143],"is":[56],"use":[58],"local":[59],"parameterizations":[60],"decouple":[62],"with":[65,89,100,107],"hard":[66],"constraints,":[67],"which":[68],"transforms":[69],"into":[72,80,96],"linear":[73,108],"constraints.":[74],"We":[75,123],"decompose":[76],"input":[78],"mesh":[79],"set":[82],"developable":[84],"nearly-developable":[86],"overlapping":[87],"patches":[88],"disc":[90],"topology,":[91],"then":[92],"flatten":[93],"each":[94],"patch":[95],"planar":[98],"domain":[99],"very":[101],"isometric":[103],"distortion,":[104],"optimize":[105],"recover":[111],"patch.":[113],"Finally,":[114],"project":[116],"it":[117],"onto":[118],"constrained":[120],"demonstrate":[124],"applicability":[126],"robustness":[128],"through":[132],"variety":[134],"tasks.":[138],"Experimental":[139],"results":[140],"show":[141],"method":[144],"performs":[145],"much":[146],"better":[147],"than":[148],"methods.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
