{"id":"https://openalex.org/W2966922419","doi":"https://doi.org/10.1137/18m1220042","title":"Computing Quasi-Conformal Folds","display_name":"Computing Quasi-Conformal Folds","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2966922419","doi":"https://doi.org/10.1137/18m1220042","mag":"2966922419"},"language":"en","primary_location":{"id":"doi:10.1137/18m1220042","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1220042","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":["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/A5102047479","display_name":"Di Qiu","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":"Di Qiu","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Hong Kong"],"raw_orcid":null,"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/A5039474582","display_name":"Ka-Chun Lam","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ka-Chun Lam","raw_affiliation_strings":["Department of Computing and Mathematical Science, California Institute of Technology, Caltech, Pasadena, California 91125"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Mathematical Science, California Institute of Technology, Caltech, Pasadena, California 91125","institution_ids":["https://openalex.org/I122411786"]}]},{"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"],"raw_orcid":null,"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":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.308,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.78489536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"12","issue":"3","first_page":"1392","last_page":"1424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9991999864578247,"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/conformal-map","display_name":"Conformal map","score":0.7006248235702515},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6005853414535522},{"id":"https://openalex.org/keywords/folding","display_name":"Folding (DSP implementation)","score":0.576476514339447},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.5328387022018433},{"id":"https://openalex.org/keywords/conformal-geometry","display_name":"Conformal geometry","score":0.5166214108467102},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.513086199760437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4952339231967926},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4345402717590332},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43355515599250793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37915006279945374},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36156994104385376},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.32958030700683594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32899582386016846},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21509191393852234},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.1741105616092682},{"id":"https://openalex.org/keywords/conformal-field-theory","display_name":"Conformal field theory","score":0.08754956722259521},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07947492599487305}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.7006248235702515},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6005853414535522},{"id":"https://openalex.org/C2776545253","wikidata":"https://www.wikidata.org/wiki/Q5464292","display_name":"Folding (DSP implementation)","level":2,"score":0.576476514339447},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.5328387022018433},{"id":"https://openalex.org/C125669323","wikidata":"https://www.wikidata.org/wiki/Q513175","display_name":"Conformal geometry","level":4,"score":0.5166214108467102},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.513086199760437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4952339231967926},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4345402717590332},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43355515599250793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37915006279945374},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36156994104385376},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.32958030700683594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32899582386016846},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21509191393852234},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.1741105616092682},{"id":"https://openalex.org/C54613284","wikidata":"https://www.wikidata.org/wiki/Q1191271","display_name":"Conformal field theory","level":3,"score":0.08754956722259521},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07947492599487305},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/18m1220042","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1220042","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:authors.library.caltech.edu:99338","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20191017-145048101","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5299999713897705,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1974956622","https://openalex.org/W1976584051","https://openalex.org/W1993120651","https://openalex.org/W2064809245","https://openalex.org/W2074214991","https://openalex.org/W2079449696","https://openalex.org/W2102443333","https://openalex.org/W2127033124","https://openalex.org/W2128262415","https://openalex.org/W2141799504","https://openalex.org/W2201837834","https://openalex.org/W2273175535","https://openalex.org/W2295829623","https://openalex.org/W3000211808","https://openalex.org/W4253319360"],"related_works":["https://openalex.org/W3037855741","https://openalex.org/W2226537123","https://openalex.org/W2066856754","https://openalex.org/W2098443654","https://openalex.org/W1596944841","https://openalex.org/W2120586762","https://openalex.org/W2486156819","https://openalex.org/W2182960111","https://openalex.org/W1848410221","https://openalex.org/W2151997105"],"abstract_inverted_index":{"Computing":[0],"surface":[1,24,86],"folding":[2,25,93],"maps":[3,26],"has":[4],"numerous":[5],"applications":[6,97],"ranging":[7],"from":[8,55],"computer":[9],"graphics":[10],"to":[11,77,115],"material":[12],"design.":[13],"In":[14],"this":[15],"work":[16],"we":[17],"propose":[18],"a":[19,29,35,56],"novel":[20],"way":[21],"of":[22,37,47,50,64,82,107,119],"computing":[23],"via":[27],"solving":[28],"linear":[30],"PDE.":[31],"This":[32,52,72],"framework":[33],"is":[34],"generalization":[36],"the":[38,48,62,65,68,84,117],"existing":[39],"computational":[40],"quasi-conformal":[41],"geometry":[42,49],"and":[43,110],"allows":[44],"precise":[45],"control":[46],"folding.":[51],"property":[53],"comes":[54],"crucial":[57],"quantity":[58],"that":[59],"occurs":[60],"as":[61,99],"coefficient":[63],"equation,":[66],"namely,":[67],"alternating":[69],"Beltrami":[70],"coefficient.":[71],"approach":[73],"also":[74],"enables":[75],"us":[76],"solve":[78],"an":[79],"inverse":[80],"problem":[81],"parametrizing":[83],"folded":[85],"given":[87],"only":[88],"partial":[89],"data":[90],"with":[91],"known":[92],"topology.":[94],"Various":[95],"interesting":[96],"such":[98],"fold":[100],"sculpting":[101],"on":[102],"3":[103],"dimensional":[104],"models,":[105],"study":[106],"Miura-ori":[108],"patterns,":[109],"self-occlusion":[111],"reasoning":[112],"are":[113],"demonstrated":[114],"show":[116],"effectiveness":[118],"our":[120],"method.":[121]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
