{"id":"https://openalex.org/W2058524213","doi":"https://doi.org/10.1145/1073204.1073227","title":"Robust moving least-squares fitting with sharp features","display_name":"Robust moving least-squares fitting with sharp features","publication_year":2005,"publication_date":"2005-07-01","ids":{"openalex":"https://openalex.org/W2058524213","doi":"https://doi.org/10.1145/1073204.1073227","mag":"2058524213"},"language":"en","primary_location":{"id":"doi:10.1145/1073204.1073227","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1073204.1073227","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041744005","display_name":"Shachar Fleishman","orcid":null},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shachar Fleishman","raw_affiliation_strings":["University of Utah","University of Utah,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah,","institution_ids":["https://openalex.org/I223532165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036688260","display_name":"Daniel Cohen\u2010Or","orcid":"https://orcid.org/0000-0001-6777-7445"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Daniel Cohen-Or","raw_affiliation_strings":["Tel-Aviv University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003584200","display_name":"Claudio Silva","orcid":"https://orcid.org/0000-0003-2452-2295"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cl\u00e1udio T. Silva","raw_affiliation_strings":["University of Utah","University of Utah,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utah","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"University of Utah,","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":35.699,"has_fulltext":false,"cited_by_count":575,"citation_normalized_percentile":{"value":0.99939076,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"24","issue":"3","first_page":"544","last_page":"552"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9988999962806702,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.8062504529953003},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.666236162185669},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6531059741973877},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.619648814201355},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.6127458214759827},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5211287140846252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4936583936214447},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.482021689414978},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4771972596645355},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4748271405696869},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4625375270843506},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4410616457462311},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.43594515323638916},{"id":"https://openalex.org/keywords/anomaly-detection","display_name":"Anomaly detection","score":0.42836815118789673},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.42820632457733154},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2612980008125305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.16782724857330322},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1424027979373932},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09679317474365234},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09481462836265564}],"concepts":[{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.8062504529953003},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.666236162185669},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6531059741973877},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.619648814201355},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.6127458214759827},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5211287140846252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4936583936214447},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.482021689414978},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4771972596645355},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4748271405696869},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4625375270843506},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4410616457462311},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.43594515323638916},{"id":"https://openalex.org/C739882","wikidata":"https://www.wikidata.org/wiki/Q3560506","display_name":"Anomaly detection","level":2,"score":0.42836815118789673},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.42820632457733154},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2612980008125305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16782724857330322},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1424027979373932},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09679317474365234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09481462836265564},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1073204.1073227","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1073204.1073227","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320310050","display_name":"University of Utah","ror":"https://ror.org/03r0ha626"},{"id":"https://openalex.org/F4320322248","display_name":"Israel Academy of Sciences and Humanities","ror":"https://ror.org/03c6c9520"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W57863793","https://openalex.org/W1549033379","https://openalex.org/W1555843758","https://openalex.org/W1977758817","https://openalex.org/W1984713107","https://openalex.org/W1990323259","https://openalex.org/W2000214666","https://openalex.org/W2006213557","https://openalex.org/W2009086487","https://openalex.org/W2009422376","https://openalex.org/W2010016312","https://openalex.org/W2061010610","https://openalex.org/W2066822731","https://openalex.org/W2079017595","https://openalex.org/W2097523702","https://openalex.org/W2099953968","https://openalex.org/W2100196192","https://openalex.org/W2103648137","https://openalex.org/W2107554480","https://openalex.org/W2117383120","https://openalex.org/W2121535648","https://openalex.org/W2125239138","https://openalex.org/W2128012088","https://openalex.org/W2128975270","https://openalex.org/W2129249398","https://openalex.org/W2135902042","https://openalex.org/W2136064518","https://openalex.org/W2144562866","https://openalex.org/W2154297286","https://openalex.org/W2158905481","https://openalex.org/W2159475546","https://openalex.org/W2162979765","https://openalex.org/W2165017100","https://openalex.org/W2165649407","https://openalex.org/W2172169473","https://openalex.org/W2174246288","https://openalex.org/W2249773824","https://openalex.org/W2498631646","https://openalex.org/W2579061341","https://openalex.org/W2998100778","https://openalex.org/W2998590421","https://openalex.org/W2998649743","https://openalex.org/W3148091194","https://openalex.org/W4214886506","https://openalex.org/W4239945406","https://openalex.org/W4242723867","https://openalex.org/W6651825406","https://openalex.org/W6679324316","https://openalex.org/W6722760417"],"related_works":["https://openalex.org/W2417156169","https://openalex.org/W2121659641","https://openalex.org/W1987366328","https://openalex.org/W2009553795","https://openalex.org/W1968626742","https://openalex.org/W2058776828","https://openalex.org/W4323544864","https://openalex.org/W2172169473","https://openalex.org/W2381764270","https://openalex.org/W4311443430"],"abstract_inverted_index":{"We":[0,19],"introduce":[1],"a":[2,9,14,43,49,73,93,108,114,122],"robust":[3,23,75],"moving":[4,35],"least-squares":[5],"technique":[6,69],"for":[7,52,60,78],"reconstructing":[8],"piecewise":[10,123],"smooth":[11,98,110,118,124],"surface":[12,115,125],"from":[13,22],"potentially":[15],"noisy":[16],"point":[17],"cloud.":[18],"use":[20],"techniques":[21],"statistics":[24,76],"to":[25,42,95,104,148],"guide":[26],"the":[27,30,34,62,81,128,132,138,141,154,167],"creation":[28],"of":[29,64,92,131,153,157],"neighborhoods":[31],"used":[32],"by":[33,136],"least":[36],"squares":[37],"(MLS)":[38],"computation.":[39],"This":[40,100],"leads":[41],"conceptually":[44],"simple":[45],"approach":[46,159],"that":[47,116,161],"provides":[48],"unified":[50],"framework":[51],"not":[53],"only":[54],"dealing":[55],"with":[56,66],"noise,":[57],"but":[58],"also":[59],"enabling":[61],"modeling":[63],"surfaces":[65],"sharp":[67,150],"features.Our":[68],"is":[70,117,160],"based":[71],"on":[72,107],"new":[74],"method":[77],"outlier":[79],"detection:":[80],"forward-search":[82],"paradigm.":[83],"Using":[84],"this":[85],"powerful":[86],"technique,":[87],"we":[88,145],"locally":[89,109],"classify":[90],"regions":[91],"point-set":[94],"multiple":[96],"outlier-free":[97],"regions.":[99],"classification":[101],"allows":[102],"us":[103],"project":[105],"points":[106,139],"region":[111],"rather":[112],"than":[113],"everywhere,":[119],"thus":[120],"defining":[121],"and":[126],"increasing":[127],"numerical":[129],"stability":[130],"projection":[133],"operator.":[134],"Furthermore,":[135],"treating":[137],"across":[140],"discontinuities":[142],"as":[143],"outliers,":[144],"are":[146],"able":[147],"define":[149],"features.":[151],"One":[152],"nice":[155],"features":[156],"our":[158],"it":[162],"automatically":[163],"disregards":[164],"outliers":[165],"during":[166],"surface-fitting":[168],"phase.":[169]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":31},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":27},{"year":2021,"cited_by_count":31},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":26},{"year":2018,"cited_by_count":32},{"year":2017,"cited_by_count":26},{"year":2016,"cited_by_count":27},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":34},{"year":2013,"cited_by_count":27},{"year":2012,"cited_by_count":32}],"updated_date":"2026-06-24T13:16:06.693445","created_date":"2025-10-10T00:00:00"}
