{"id":"https://openalex.org/W2111372547","doi":"https://doi.org/10.1142/s0218195910003438","title":"SCALE SELECTION FOR GEOMETRIC FITTING IN NOISY POINT CLOUDS","display_name":"SCALE SELECTION FOR GEOMETRIC FITTING IN NOISY POINT CLOUDS","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W2111372547","doi":"https://doi.org/10.1142/s0218195910003438","mag":"2111372547"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195910003438","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195910003438","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","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/A5103778960","display_name":"Ranjith Unnikrishnan","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"RANJITH UNNIKRISHNAN","raw_affiliation_strings":["Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034761030","display_name":"Jean\u2010Fran\u00e7ois Lalonde","orcid":"https://orcid.org/0000-0002-6583-2364"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JEAN-FRAN\u00c7OIS LALONDE","raw_affiliation_strings":["Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018701857","display_name":"Nicolas Vandapel","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"NICOLAS VANDAPEL","raw_affiliation_strings":["Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075246991","display_name":"Martial Hebert","orcid":"https://orcid.org/0000-0003-4566-5930"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"MARTIAL HEBERT","raw_affiliation_strings":["Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Robotics Institute, Carnegie Mellon University, Pittsburgh, PA 15213, USA,","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":1.3403,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.82038586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"20","issue":"05","first_page":"543","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9997000098228455,"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/T10719","display_name":"3D Shape Modeling and Analysis","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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11211","display_name":"3D Surveying and Cultural Heritage","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.8350563049316406},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6168344020843506},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.5618025064468384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5518128871917725},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5401650071144104},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5251283645629883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5044010877609253},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4961629807949066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4698350131511688},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4282936453819275},{"id":"https://openalex.org/keywords/data-point","display_name":"Data point","score":0.4265980124473572},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41326093673706055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25988689064979553},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1279231309890747},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09956231713294983}],"concepts":[{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.8350563049316406},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6168344020843506},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5618025064468384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5518128871917725},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5401650071144104},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5251283645629883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5044010877609253},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4961629807949066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4698350131511688},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4282936453819275},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.4265980124473572},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41326093673706055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25988689064979553},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1279231309890747},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09956231713294983},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218195910003438","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195910003438","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W57863793","https://openalex.org/W83404773","https://openalex.org/W658559791","https://openalex.org/W964237496","https://openalex.org/W1490883626","https://openalex.org/W1578099820","https://openalex.org/W1746819321","https://openalex.org/W1974102081","https://openalex.org/W1985292196","https://openalex.org/W2004402003","https://openalex.org/W2012876210","https://openalex.org/W2013131044","https://openalex.org/W2019648365","https://openalex.org/W2029041800","https://openalex.org/W2070188987","https://openalex.org/W2078290150","https://openalex.org/W2107432971","https://openalex.org/W2128012088","https://openalex.org/W2130567155","https://openalex.org/W2130817033","https://openalex.org/W2139230981","https://openalex.org/W2145501953","https://openalex.org/W2147245178","https://openalex.org/W2151631165","https://openalex.org/W2152704091","https://openalex.org/W2157191463","https://openalex.org/W2158905481","https://openalex.org/W2163097311","https://openalex.org/W2166418923","https://openalex.org/W2199460564","https://openalex.org/W2334018742","https://openalex.org/W2984066441","https://openalex.org/W2998115525","https://openalex.org/W3129186208","https://openalex.org/W4211049957","https://openalex.org/W4388254843","https://openalex.org/W6600867986"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W4366700029","https://openalex.org/W3175363083","https://openalex.org/W4285230481","https://openalex.org/W4385769873","https://openalex.org/W2015759683","https://openalex.org/W4281634296","https://openalex.org/W4319161863","https://openalex.org/W2371687270","https://openalex.org/W833054381"],"abstract_inverted_index":{"In":[0],"recent":[1],"years,":[2],"there":[3],"has":[4],"been":[5],"a":[6,81,136],"resurgence":[7],"in":[8,73],"the":[9,17,43,57,74,101,118,122],"use":[10],"of":[11,20,53,59,63,84,91,103],"raw":[12],"point":[13],"cloud":[14],"data":[15,116],"as":[16,27,42,96,98],"geometric":[18],"primitive":[19],"choice":[21],"for":[22,108],"several":[23],"modeling":[24],"tasks":[25],"such":[26,41],"rendering,":[28],"editing":[29],"and":[30,71,114,124,128],"compression.":[31],"Algorithms":[32],"using":[33],"this":[34,77],"representation":[35],"often":[36],"require":[37,135],"reliable":[38],"additional":[39],"information":[40],"curve":[44],"tangent":[45],"or":[46],"surface":[47],"normal":[48],"at":[49],"each":[50],"point.":[51],"Estimation":[52],"these":[54],"quantities":[55],"requires":[56],"selection":[58],"an":[60],"appropriate":[61],"scale":[62],"analysis":[64,90],"to":[65],"accommodate":[66],"sensor":[67],"noise,":[68],"density":[69],"variation":[70],"sparsity":[72],"data.":[75],"To":[76],"goal,":[78],"we":[79],"present":[80],"new":[82],"class":[83],"locally":[85],"semi-parametric":[86],"estimators":[87],"that":[88,134],"allows":[89],"accuracy":[92],"with":[93],"finite":[94],"samples,":[95],"well":[97],"explicitly":[99],"addresses":[100],"problem":[102],"selecting":[104],"optimal":[105],"support":[106],"volume":[107],"local":[109],"fitting.":[110],"Experiments":[111],"on":[112],"synthetic":[113],"real":[115],"validate":[117],"behavior":[119],"predicted":[120],"by":[121],"model,":[123],"show":[125],"competitive":[126],"performance":[127],"improved":[129],"stability":[130],"over":[131],"leading":[132],"alternatives":[133],"preset":[137],"scale.":[138]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
