{"id":"https://openalex.org/W2023996521","doi":"https://doi.org/10.1145/1629255.1629298","title":"Robust principal curvatures using feature adapted integral invariants","display_name":"Robust principal curvatures using feature adapted integral invariants","publication_year":2009,"publication_date":"2009-10-05","ids":{"openalex":"https://openalex.org/W2023996521","doi":"https://doi.org/10.1145/1629255.1629298","mag":"2023996521"},"language":"en","primary_location":{"id":"doi:10.1145/1629255.1629298","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1629255.1629298","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling","raw_type":"proceedings-article"},"type":"conference-paper","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/A5067850699","display_name":"Yu\u2010Kun Lai","orcid":"https://orcid.org/0000-0002-2094-5680"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Kun Lai","raw_affiliation_strings":["Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037233582","display_name":"Shi\u2010Min Hu","orcid":"https://orcid.org/0000-0001-7507-6542"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi-Min Hu","raw_affiliation_strings":["Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111520035","display_name":"Tong Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I4210137693","display_name":"Siemens (United States)","ror":"https://ror.org/04axb7e79","country_code":"US","type":"company","lineage":["https://openalex.org/I1325886976","https://openalex.org/I4210137693"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tong Fang","raw_affiliation_strings":["Siemens Corporate Research, Inc., Princeton, NJ","Siemens Corporate Research, Inc, Princeton, NJ#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Siemens Corporate Research, Inc., Princeton, NJ","institution_ids":["https://openalex.org/I4210137693"]},{"raw_affiliation_string":"Siemens Corporate Research, Inc, Princeton, NJ#TAB#","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"325","last_page":"330"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994000196456909,"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":0.9973000288009644,"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/robustness","display_name":"Robustness (evolution)","score":0.7417810559272766},{"id":"https://openalex.org/keywords/principal-curvature","display_name":"Principal curvature","score":0.7162722945213318},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.6705377101898193},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.652541995048523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5340408682823181},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.470292329788208},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45588549971580505},{"id":"https://openalex.org/keywords/partition-of-unity","display_name":"Partition of unity","score":0.4279558062553406},{"id":"https://openalex.org/keywords/feature-extraction","display_name":"Feature extraction","score":0.42702171206474304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4267405569553375},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.41954416036605835},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.38765570521354675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3231174647808075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2988525629043579},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2346939742565155},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.1576460301876068}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7417810559272766},{"id":"https://openalex.org/C16977076","wikidata":"https://www.wikidata.org/wiki/Q1589551","display_name":"Principal curvature","level":4,"score":0.7162722945213318},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.6705377101898193},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.652541995048523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5340408682823181},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.470292329788208},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45588549971580505},{"id":"https://openalex.org/C102205669","wikidata":"https://www.wikidata.org/wiki/Q191690","display_name":"Partition of unity","level":3,"score":0.4279558062553406},{"id":"https://openalex.org/C52622490","wikidata":"https://www.wikidata.org/wiki/Q1026626","display_name":"Feature extraction","level":2,"score":0.42702171206474304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4267405569553375},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.41954416036605835},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.38765570521354675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3231174647808075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2988525629043579},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2346939742565155},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.1576460301876068},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1629255.1629298","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1629255.1629298","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.180.9318","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.180.9318","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://users.cs.cf.ac.uk/Yukun.Lai/papers/spm09.pdf","raw_type":"text"},{"id":"pmh:oai:https://orca.cardiff.ac.uk:27773","is_oa":false,"landing_page_url":"https://orca.cardiff.ac.uk/id/eprint/27773/","pdf_url":null,"source":{"id":"https://openalex.org/S7407055383","display_name":"ORCA Online Research @Cardiff","issn_l":null,"issn":null,"is_oa":false,"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":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1457526948","display_name":null,"funder_award_id":"2007AA01Z336","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"},{"id":"https://openalex.org/G8214302830","display_name":null,"funder_award_id":"2006CB303102","funder_id":"https://openalex.org/F4320321540","funder_display_name":"Ministry of Science and Technology of the People's Republic of China"},{"id":"https://openalex.org/G936828136","display_name":null,"funder_award_id":"60673004U0735001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321540","display_name":"Ministry of Science and Technology of the People's Republic of China","ror":"https://ror.org/027s68j25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W194536078","https://openalex.org/W1494199114","https://openalex.org/W1565212980","https://openalex.org/W1608324296","https://openalex.org/W1626653188","https://openalex.org/W2015493362","https://openalex.org/W2026043300","https://openalex.org/W2052790699","https://openalex.org/W2062563843","https://openalex.org/W2092271768","https://openalex.org/W2093027094","https://openalex.org/W2094242241","https://openalex.org/W2099244020","https://openalex.org/W2099953968","https://openalex.org/W2122076394","https://openalex.org/W2130567155","https://openalex.org/W2157653807","https://openalex.org/W2163864141","https://openalex.org/W2165904679","https://openalex.org/W2169231734","https://openalex.org/W2235424849","https://openalex.org/W4238247487","https://openalex.org/W4253157070","https://openalex.org/W4283014504"],"related_works":["https://openalex.org/W2039089021","https://openalex.org/W2130450339","https://openalex.org/W2950620193","https://openalex.org/W2354710386","https://openalex.org/W2005204240","https://openalex.org/W2909819188","https://openalex.org/W2021032139","https://openalex.org/W2350692777","https://openalex.org/W2175710703","https://openalex.org/W2963067241"],"abstract_inverted_index":{"Principal":[0],"curvatures":[1,53],"and":[2,49,134,153,180,199],"principal":[3,43,52,195],"directions":[4],"are":[5,11,28],"fundamental":[6],"local":[7,125,140],"geometric":[8],"properties.":[9],"They":[10],"well":[12,105],"defined":[13],"on":[14,54,67,124],"smooth":[15],"surfaces.":[16],"However,":[17],"due":[18],"to":[19,30,33,78,115,136,148,160],"the":[20,58,62,80,92,121,137,150,154,163,178,181,188],"nature":[21],"as":[22],"higher":[23],"order":[24],"differential":[25],"quantities,":[26],"they":[27],"known":[29],"be":[31],"sensitive":[32],"noise.":[34],"A":[35],"recent":[36],"work":[37,104],"by":[38],"Yang":[39],"et":[40],"al.":[41],"combines":[42],"component":[44],"analysis":[45],"with":[46,165,193],"integral":[47],"invariants":[48],"computes":[50],"robust":[51,194],"multiple":[55],"scales.":[56],"Although":[57],"freedom":[59],"of":[60,96,139,156,183,190],"choosing":[61],"radius":[63,129],"r":[64,83,101,130],"gives":[65],"results":[66,164],"different":[68,97,166],"scales,":[69,98],"in":[70],"practice":[71],"it":[72],"is":[73,131,146,158],"not":[74,103,132],"an":[75,85],"easy":[76],"task":[77],"choose":[79],"most":[81],"appropriate":[82,118],"for":[84],"arbitrary":[86],"given":[87],"model.":[88],"Worse":[89],"still,":[90],"if":[91],"model":[93],"contains":[94],"features":[95],"a":[99,113,174],"single":[100],"does":[102],"at":[106],"all.":[107],"In":[108,168],"this":[109,169],"work,":[110],"we":[111,171],"propose":[112],"scheme":[114],"automatically":[116],"assign":[117],"radii":[119],"across":[120],"surface":[122,126],"based":[123],"characteristics.":[127],"The":[128],"constant":[133],"adapts":[135],"scale":[138],"features.":[141],"An":[142],"efficient,":[143],"iterative":[144],"algorithm":[145],"used":[147],"approach":[149,192],"optimal":[151],"assignment":[152],"partition":[155],"unity":[157],"incorporated":[159],"smoothly":[161],"combine":[162],"radii.":[167],"way,":[170],"can":[172],"achieve":[173],"better":[175],"balance":[176],"between":[177],"robustness":[179],"accuracy":[182],"feature":[184,200],"locations.":[185],"We":[186],"demonstrate":[187],"effectiveness":[189],"our":[191],"direction":[196],"field":[197],"computation":[198],"extraction.":[201]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
