{"id":"https://openalex.org/W2959004956","doi":"https://doi.org/10.1145/3306346.3322994","title":"Variational implicit point set surfaces","display_name":"Variational implicit point set surfaces","publication_year":2019,"publication_date":"2019-07-12","ids":{"openalex":"https://openalex.org/W2959004956","doi":"https://doi.org/10.1145/3306346.3322994","mag":"2959004956"},"language":"en","primary_location":{"id":"doi:10.1145/3306346.3322994","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3306346.3322994","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3322994","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":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3322994","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000941477","display_name":"Zhiyang Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhiyang Huang","raw_affiliation_strings":["Washington University in St. Louis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington University in St. Louis","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052779906","display_name":"Nathan Carr","orcid":"https://orcid.org/0000-0003-2324-6428"},"institutions":[{"id":"https://openalex.org/I1306409833","display_name":"Adobe Systems (United States)","ror":"https://ror.org/059tvcg64","country_code":"US","type":"company","lineage":["https://openalex.org/I1306409833"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nathan Carr","raw_affiliation_strings":["Adobe Systems"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Adobe Systems","institution_ids":["https://openalex.org/I1306409833"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101952408","display_name":"Tao Ju","orcid":"https://orcid.org/0000-0002-1848-1012"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tao Ju","raw_affiliation_strings":["Washington University in St. Louis"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Washington University in St. Louis","institution_ids":["https://openalex.org/I204465549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000941477"],"corresponding_institution_ids":["https://openalex.org/I204465549"],"apc_list":null,"apc_paid":null,"fwci":5.4373,"has_fulltext":true,"cited_by_count":94,"citation_normalized_percentile":{"value":0.97234461,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"38","issue":"4","first_page":"1","last_page":"13"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9994999766349792,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9987000226974487,"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/smoothness","display_name":"Smoothness","score":0.6246567368507385},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.5906069278717041},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5705565810203552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5495221018791199},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5489691495895386},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5489580631256104},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5194458365440369},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5148298144340515},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5073632597923279},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.478523850440979},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44061264395713806},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4370894134044647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4091385006904602},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3204629421234131},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18452271819114685},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1060778796672821},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10548102855682373},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09582871198654175}],"concepts":[{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.6246567368507385},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.5906069278717041},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5705565810203552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5495221018791199},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5489691495895386},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5489580631256104},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5194458365440369},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5148298144340515},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5073632597923279},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.478523850440979},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44061264395713806},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4370894134044647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4091385006904602},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3204629421234131},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18452271819114685},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1060778796672821},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10548102855682373},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09582871198654175},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3306346.3322994","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3306346.3322994","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3322994","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"}],"best_oa_location":{"id":"doi:10.1145/3306346.3322994","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3306346.3322994","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3306346.3322994","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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8299999833106995}],"awards":[{"id":"https://openalex.org/G3362456956","display_name":"RI: Small: Functional Object Modeling","funder_award_id":"1618685","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3516178185","display_name":null,"funder_award_id":"DBI-1759836","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7110854318","display_name":"Collaborative Research:  ABI Innovation:  Algorithms for recovering root architecture from 3D imaging","funder_award_id":"1759836","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8645414904","display_name":null,"funder_award_id":"RI-1618685, DBI-1759836","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"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2959004956.pdf","grobid_xml":"https://content.openalex.org/works/W2959004956.grobid-xml"},"referenced_works_count":83,"referenced_works":["https://openalex.org/W120777609","https://openalex.org/W413835352","https://openalex.org/W582625930","https://openalex.org/W1486164486","https://openalex.org/W1514151998","https://openalex.org/W1515181492","https://openalex.org/W1551209770","https://openalex.org/W1560043530","https://openalex.org/W1561051169","https://openalex.org/W1597405158","https://openalex.org/W1604662580","https://openalex.org/W1661064697","https://openalex.org/W1964229179","https://openalex.org/W1977758817","https://openalex.org/W1986465719","https://openalex.org/W1988317275","https://openalex.org/W1992642990","https://openalex.org/W1998130497","https://openalex.org/W2000081328","https://openalex.org/W2004402003","https://openalex.org/W2008073424","https://openalex.org/W2020065037","https://openalex.org/W2021369132","https://openalex.org/W2029041800","https://openalex.org/W2040180707","https://openalex.org/W2043228434","https://openalex.org/W2050543800","https://openalex.org/W2052790699","https://openalex.org/W2083485913","https://openalex.org/W2085325620","https://openalex.org/W2086550580","https://openalex.org/W2095953144","https://openalex.org/W2098355846","https://openalex.org/W2099953968","https://openalex.org/W2100816864","https://openalex.org/W2101712289","https://openalex.org/W2103648137","https://openalex.org/W2106960982","https://openalex.org/W2112477742","https://openalex.org/W2115244863","https://openalex.org/W2119693472","https://openalex.org/W2119947613","https://openalex.org/W2120577814","https://openalex.org/W2121535648","https://openalex.org/W2128384169","https://openalex.org/W2128975270","https://openalex.org/W2129439946","https://openalex.org/W2130567155","https://openalex.org/W2130859329","https://openalex.org/W2137531922","https://openalex.org/W2138724753","https://openalex.org/W2154097358","https://openalex.org/W2154523969","https://openalex.org/W2156786466","https://openalex.org/W2160840682","https://openalex.org/W2162979765","https://openalex.org/W2165649407","https://openalex.org/W2166418923","https://openalex.org/W2169990827","https://openalex.org/W2170167721","https://openalex.org/W2207289595","https://openalex.org/W2228867493","https://openalex.org/W2309755354","https://openalex.org/W2346663740","https://openalex.org/W2366389387","https://openalex.org/W2407093484","https://openalex.org/W2474381828","https://openalex.org/W2499836513","https://openalex.org/W2503709059","https://openalex.org/W2617010780","https://openalex.org/W2746836818","https://openalex.org/W2766448241","https://openalex.org/W2811052594","https://openalex.org/W2905373859","https://openalex.org/W2998100778","https://openalex.org/W2998115525","https://openalex.org/W3102669005","https://openalex.org/W3127705606","https://openalex.org/W3137369665","https://openalex.org/W4210811533","https://openalex.org/W4214886506","https://openalex.org/W4239945406","https://openalex.org/W4241614188"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,34,47,55,62,91],"new":[3],"method":[4],"for":[5,66,113],"reconstructing":[6],"an":[7,11],"implicit":[8],"surface":[9],"from":[10,40],"un-oriented":[12],"point":[13],"set.":[14],"While":[15],"existing":[16,107],"methods":[17],"often":[18],"involve":[19],"non-trivial":[20],"heuristics":[21],"and":[22,77,115],"require":[23],"additional":[24],"constraints,":[25],"such":[26],"as":[27,43],"normals":[28],"or":[29],"labelled":[30],"points,":[31],"we":[32],"introduce":[33],"direct":[35],"definition":[36,53,97],"of":[37,57,90],"the":[38,41,44,84,88],"function":[39],"points":[42],"solution":[45],"to":[46,70,98,103],"constrained":[48],"quadratic":[49],"optimization":[50],"problem.":[51],"The":[52],"has":[54],"number":[56],"appealing":[58],"features:":[59],"it":[60,110],"uses":[61],"single":[63],"parameter":[64],"(parameter-free":[65],"exact":[67],"interpolation),":[68],"applies":[69],"any":[71],"dimensions,":[72],"commutes":[73],"with":[74],"similarity":[75],"transformations,":[76],"can":[78],"be":[79,99],"easily":[80],"implemented":[81],"without":[82],"discretizing":[83],"space.":[85],"More":[86],"importantly,":[87],"use":[89],"global":[92],"smoothness":[93],"energy":[94],"allows":[95],"our":[96],"much":[100],"more":[101],"resilient":[102],"sampling":[104],"imperfections":[105],"than":[106],"methods,":[108],"making":[109],"particularly":[111],"suited":[112],"sparse":[114],"non-uniform":[116],"inputs.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":27},{"year":2024,"cited_by_count":18},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":6}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
