{"id":"https://openalex.org/W2149943767","doi":"https://doi.org/10.1145/2661229.2661255","title":"Local barycentric coordinates","display_name":"Local barycentric coordinates","publication_year":2014,"publication_date":"2014-11-18","ids":{"openalex":"https://openalex.org/W2149943767","doi":"https://doi.org/10.1145/2661229.2661255","mag":"2149943767"},"language":"en","primary_location":{"id":"doi:10.1145/2661229.2661255","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2661229.2661255","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hull-repository.worktribe.com/output/436599","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101904821","display_name":"Juyong Zhang","orcid":"https://orcid.org/0000-0002-1805-1426"},"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":true,"raw_author_name":"Juyong Zhang","raw_affiliation_strings":["University of Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088798709","display_name":"Bailin Deng","orcid":"https://orcid.org/0000-0002-0158-7670"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Bailin Deng","raw_affiliation_strings":["\u00c9cole polytechnique f\u00e9d\u00e9rale de Lausanne"],"affiliations":[{"raw_affiliation_string":"\u00c9cole polytechnique f\u00e9d\u00e9rale de Lausanne","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101851352","display_name":"Zishun Liu","orcid":"https://orcid.org/0000-0002-6653-5142"},"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":"Zishun Liu","raw_affiliation_strings":["University of Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079829556","display_name":"Giuseppe Patan\u00e8","orcid":"https://orcid.org/0000-0002-2276-9553"},"institutions":[{"id":"https://openalex.org/I4210137033","display_name":"Istituto di Matematica Applicata e Tecnologie Informatiche","ror":"https://ror.org/03m0n3c07","country_code":"IT","type":"education","lineage":["https://openalex.org/I4210137033","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Patan\u00e8","raw_affiliation_strings":["CNR - Istituto di Matematica Applicata e Tecnologie Informatiche"],"affiliations":[{"raw_affiliation_string":"CNR - Istituto di Matematica Applicata e Tecnologie Informatiche","institution_ids":["https://openalex.org/I4210137033"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102407364","display_name":"Sofien Bouaziz","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Sofien Bouaziz","raw_affiliation_strings":["\u00c9cole polytechnique f\u00e9d\u00e9rale de Lausanne"],"affiliations":[{"raw_affiliation_string":"\u00c9cole polytechnique f\u00e9d\u00e9rale de Lausanne","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050260332","display_name":"Kai Hormann","orcid":"https://orcid.org/0000-0001-6455-4246"},"institutions":[{"id":"https://openalex.org/I57201433","display_name":"Universit\u00e0 della Svizzera italiana","ror":"https://ror.org/03c4atk17","country_code":"CH","type":"education","lineage":["https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Kai Hormann","raw_affiliation_strings":["Universit\u00e0 della Svizzera italiana"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 della Svizzera italiana","institution_ids":["https://openalex.org/I57201433"]}]},{"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":["University of Science and Technology of China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology of China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5101904821"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":4.694,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.96159124,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"33","issue":"6","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9984999895095825,"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":0.9983999729156494,"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/barycentric-coordinate-system","display_name":"Barycentric coordinate system","score":0.9624567031860352},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5579403042793274},{"id":"https://openalex.org/keywords/local-coordinates","display_name":"Local coordinates","score":0.5227608680725098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5036086440086365},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5017905235290527},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4874694347381592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42448073625564575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3686087727546692},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.252256840467453},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1412283182144165},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.10942739248275757}],"concepts":[{"id":"https://openalex.org/C128356825","wikidata":"https://www.wikidata.org/wiki/Q738422","display_name":"Barycentric coordinate system","level":2,"score":0.9624567031860352},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5579403042793274},{"id":"https://openalex.org/C2781310163","wikidata":"https://www.wikidata.org/wiki/Q6664315","display_name":"Local coordinates","level":2,"score":0.5227608680725098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5036086440086365},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5017905235290527},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4874694347381592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42448073625564575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3686087727546692},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.252256840467453},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1412283182144165},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.10942739248275757},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1145/2661229.2661255","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2661229.2661255","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:http://orca.cardiff.ac.uk:98571","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.699.7032","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.699.7032","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.inf.usi.ch/hormann/papers/Zhang.2014.LBC.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.707.9799","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.707.9799","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://staff.ustc.edu.cn/%7Ejuyong/Papers/LBC.pdf","raw_type":"text"},{"id":"pmh:oai:http://orca-dev.cardiff.ac.uk:98571","is_oa":false,"landing_page_url":"https://orca.cardiff.ac.uk/id/eprint/98571/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"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"},{"id":"pmh:oai:hull-repository.worktribe.com:436599","is_oa":true,"landing_page_url":"https://hull-repository.worktribe.com/output/436599","pdf_url":null,"source":{"id":"https://openalex.org/S4306400827","display_name":"Repository@Hull (Worktribe) (University of Hull)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191240316","host_organization_name":"University of Hull","host_organization_lineage":["https://openalex.org/I191240316"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"},{"id":"pmh:oai:infoscience.epfl.ch:201853","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/201853","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"}],"best_oa_location":{"id":"pmh:oai:hull-repository.worktribe.com:436599","is_oa":true,"landing_page_url":"https://hull-repository.worktribe.com/output/436599","pdf_url":null,"source":{"id":"https://openalex.org/S4306400827","display_name":"Repository@Hull (Worktribe) (University of Hull)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I191240316","host_organization_name":"University of Hull","host_organization_lineage":["https://openalex.org/I191240316"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"acceptedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G222262968","display_name":null,"funder_award_id":"200021 137626","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G344136338","display_name":null,"funder_award_id":"2.01E+13","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G5394674082","display_name":null,"funder_award_id":"1408085QF119","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G6029921562","display_name":null,"funder_award_id":"FP7-ICT-2011-318787","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G8847902423","display_name":null,"funder_award_id":"61222206, 61303148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null},{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W136272581","https://openalex.org/W369655846","https://openalex.org/W619764434","https://openalex.org/W646803500","https://openalex.org/W1480714962","https://openalex.org/W1557899381","https://openalex.org/W1589956339","https://openalex.org/W1593038947","https://openalex.org/W1790421890","https://openalex.org/W1946620893","https://openalex.org/W1964811929","https://openalex.org/W1974393517","https://openalex.org/W1974956622","https://openalex.org/W1975814079","https://openalex.org/W1976584051","https://openalex.org/W1976709621","https://openalex.org/W1977148430","https://openalex.org/W1981784948","https://openalex.org/W1983935138","https://openalex.org/W1996724333","https://openalex.org/W2004544971","https://openalex.org/W2008535862","https://openalex.org/W2012500162","https://openalex.org/W2020461703","https://openalex.org/W2021167140","https://openalex.org/W2021204697","https://openalex.org/W2040537691","https://openalex.org/W2045492545","https://openalex.org/W2047594593","https://openalex.org/W2048511268","https://openalex.org/W2069934462","https://openalex.org/W2079209697","https://openalex.org/W2093347109","https://openalex.org/W2093545205","https://openalex.org/W2103559027","https://openalex.org/W2116040950","https://openalex.org/W2119204856","https://openalex.org/W2133544837","https://openalex.org/W2135095945","https://openalex.org/W2135785391","https://openalex.org/W2136279670","https://openalex.org/W2137742453","https://openalex.org/W2140843581","https://openalex.org/W2142058898","https://openalex.org/W2143529965","https://openalex.org/W2160692760","https://openalex.org/W2164278908","https://openalex.org/W2182213388","https://openalex.org/W2293537096","https://openalex.org/W2294967723","https://openalex.org/W2491337109","https://openalex.org/W2523352299","https://openalex.org/W2914050481","https://openalex.org/W2962872734","https://openalex.org/W3125178117","https://openalex.org/W3136375062","https://openalex.org/W3136466070","https://openalex.org/W3137158176","https://openalex.org/W4205213118","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W4298843510"],"related_works":["https://openalex.org/W3046826018","https://openalex.org/W2149943767","https://openalex.org/W2372553251","https://openalex.org/W4243707844","https://openalex.org/W2968126970","https://openalex.org/W2065533204","https://openalex.org/W4224131357","https://openalex.org/W11055411","https://openalex.org/W2153811384","https://openalex.org/W3025104094"],"abstract_inverted_index":{"Barycentric":[0],"coordinates":[1,105],"yield":[2],"a":[3,28,42,55,66,73,80,86,100,113,136,145],"powerful":[4],"and":[5,119,130,143,152,165,174],"yet":[6],"simple":[7],"paradigm":[8],"to":[9,176],"interpolate":[10],"data":[11],"values":[12],"on":[13,41,123,140,168],"polyhedral":[14],"domains.":[15],"They":[16],"represent":[17],"interior":[18,111],"points":[19,118],"of":[20,27,30,44,58,68,102,116],"the":[21,77,92],"domain":[22],"as":[23,65,127],"an":[24,34],"affine":[25],"combination":[26,67],"set":[29,43,115],"control":[31,45,70,82,117,167],"points,":[32],"defining":[33],"interpolation":[35,64],"scheme":[36],"for":[37,109,154],"any":[38],"function":[39],"defined":[40],"points.":[46,71],"Numerous":[47],"barycentric":[48,104,124],"coordinate":[49],"schemes":[50],"have":[51],"been":[52],"proposed":[53],"satisfying":[54],"large":[56],"variety":[57],"properties.":[59],"However,":[60],"they":[61],"typically":[62],"define":[63],"all":[69],"Thus":[72],"local":[74,103,164],"change":[75,88],"in":[76],"value":[78],"at":[79],"single":[81],"point":[83,112],"will":[84],"create":[85],"global":[87],"by":[89],"propagation":[90],"into":[91],"whole":[93],"domain.":[94],"In":[95],"this":[96],"context,":[97],"we":[98],"present":[99],"family":[101],"(LBC),":[106],"which":[107],"select":[108],"each":[110],"small":[114],"satisfy":[120],"common":[121],"requirements":[122],"coordinates,":[125],"such":[126],"linearity,":[128],"non-negativity,":[129],"smoothness.":[131],"LBC":[132,161],"are":[133],"achieved":[134],"through":[135],"convex":[137],"optimization":[138],"based":[139],"total":[141],"variation,":[142],"provide":[144,162],"compact":[146],"representation":[147],"that":[148,160],"reduces":[149],"memory":[150],"footprint":[151],"allows":[153],"fast":[155],"deformations.":[156],"Our":[157],"experiments":[158],"show":[159],"more":[163,177],"finer":[166],"shape":[169],"deformation":[170,179],"than":[171],"previous":[172],"approaches,":[173],"lead":[175],"intuitive":[178],"results.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}