{"id":"https://openalex.org/W2023507039","doi":"https://doi.org/10.1145/1141911.1141923","title":"A planar-reflective symmetry transform for 3D shapes","display_name":"A planar-reflective symmetry transform for 3D shapes","publication_year":2006,"publication_date":"2006-07-01","ids":{"openalex":"https://openalex.org/W2023507039","doi":"https://doi.org/10.1145/1141911.1141923","mag":"2023507039"},"language":"en","primary_location":{"id":"doi:10.1145/1141911.1141923","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141911.1141923","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/A5032355351","display_name":"Joshua Podolak","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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joshua Podolak","raw_affiliation_strings":["Princeton University","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091766663","display_name":"Philip Shilane","orcid":"https://orcid.org/0000-0003-1235-0502"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip Shilane","raw_affiliation_strings":["Princeton University","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057431334","display_name":"Aleksey Golovinskiy","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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aleksey Golovinskiy","raw_affiliation_strings":["Princeton University","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021634773","display_name":"Szymon Rusinkiewicz","orcid":"https://orcid.org/0000-0002-4253-2588"},"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Szymon Rusinkiewicz","raw_affiliation_strings":["Princeton University","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079619886","display_name":"Thomas Funkhouser","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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Funkhouser","raw_affiliation_strings":["Princeton University","Princeton University#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University#TAB#","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":670.6927,"has_fulltext":false,"cited_by_count":296,"citation_normalized_percentile":{"value":0.99996093,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"25","issue":"3","first_page":"549","last_page":"559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9991999864578247,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9991000294685364,"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/reflection-symmetry","display_name":"Reflection symmetry","score":0.6249578595161438},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6054224967956543},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5765075087547302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.510485053062439},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.48965293169021606},{"id":"https://openalex.org/keywords/distance-transform","display_name":"Distance transform","score":0.4855198860168457},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4572325646877289},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.41988465189933777},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.41637828946113586},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4096181094646454},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.38378429412841797},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3777410686016083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.337973415851593},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.21200397610664368},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.20911729335784912}],"concepts":[{"id":"https://openalex.org/C133978748","wikidata":"https://www.wikidata.org/wiki/Q15955882","display_name":"Reflection symmetry","level":2,"score":0.6249578595161438},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6054224967956543},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5765075087547302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.510485053062439},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.48965293169021606},{"id":"https://openalex.org/C73621898","wikidata":"https://www.wikidata.org/wiki/Q2940504","display_name":"Distance transform","level":3,"score":0.4855198860168457},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4572325646877289},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.41988465189933777},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.41637828946113586},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4096181094646454},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38378429412841797},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3777410686016083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.337973415851593},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.21200397610664368},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.20911729335784912}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1141911.1141923","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1141911.1141923","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:CiteSeerX.psu:10.1.1.136.6720","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.6720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.stevens.edu/~quynh/courses/cs638-papers/shape-matching/podolak_reflective.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.75.7438","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.7438","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.princeton.edu/gfx/pubs/Podolak_2006_APS/symmpaper.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4699999988079071,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W116012487","https://openalex.org/W117363569","https://openalex.org/W1537442738","https://openalex.org/W1561952261","https://openalex.org/W1576817289","https://openalex.org/W1975522663","https://openalex.org/W1977387474","https://openalex.org/W1986145324","https://openalex.org/W2002100650","https://openalex.org/W2026940523","https://openalex.org/W2042481396","https://openalex.org/W2045598453","https://openalex.org/W2049981393","https://openalex.org/W2062946663","https://openalex.org/W2075264427","https://openalex.org/W2075597533","https://openalex.org/W2075825658","https://openalex.org/W2079745210","https://openalex.org/W2090238112","https://openalex.org/W2094954828","https://openalex.org/W2095315834","https://openalex.org/W2097307110","https://openalex.org/W2099789128","https://openalex.org/W2101011894","https://openalex.org/W2104648869","https://openalex.org/W2108605127","https://openalex.org/W2109206986","https://openalex.org/W2114073781","https://openalex.org/W2115168188","https://openalex.org/W2116707521","https://openalex.org/W2123103312","https://openalex.org/W2126238962","https://openalex.org/W2132032064","https://openalex.org/W2141299360","https://openalex.org/W2147545324","https://openalex.org/W2160994953","https://openalex.org/W2166816420","https://openalex.org/W2295382923","https://openalex.org/W2322951925","https://openalex.org/W2602247401","https://openalex.org/W2999893964","https://openalex.org/W3159914786","https://openalex.org/W4210811533","https://openalex.org/W6794937971"],"related_works":["https://openalex.org/W2964096557","https://openalex.org/W4302092042","https://openalex.org/W2783444592","https://openalex.org/W1536406305","https://openalex.org/W3037855741","https://openalex.org/W2226537123","https://openalex.org/W2789717107","https://openalex.org/W2320340938","https://openalex.org/W2129153496","https://openalex.org/W2055754283"],"abstract_inverted_index":{"Symmetry":[0],"is":[1,94,152],"an":[2,78,102],"important":[3],"cue":[4],"for":[5,84,88,137,154],"many":[6],"applications,":[7],"including":[8,160],"object":[9],"alignment,":[10],"recognition,":[11],"and":[12,46,66,90,127,131,168],"segmentation.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17,146],"describe":[18],"a":[19,27,35,141],"planar":[20],"reflective":[21],"symmetry":[22,33,126,129,150],"transform":[23,44,87,112,117,151],"(PRST)":[24],"that":[25,50,92,133,148],"captures":[26],"continuous":[28],"measure":[29],"of":[30,34,61,110,125,164],"the":[31,59,86,111,116,149],"reflectional":[32],"shape":[36,161],"with":[37,56,69],"respect":[38,57,70],"to":[39,58,71,106,118],"all":[40],"possible":[41],"planes.":[42],"This":[43],"combines":[45],"extends":[47],"previous":[48],"work":[49],"has":[51],"focused":[52],"on":[53],"global":[54],"symmetries":[55,68],"center":[60,124],"mass":[62],"in":[63,73,140,157],"3D":[64],"meshes":[65,165],"local":[67,108],"points":[72],"2D":[74],"images.":[75],"We":[76,99,114],"provide":[77,101],"efficient":[79],"Monte":[80],"Carlo":[81],"sampling":[82],"algorithm":[83,105],"computing":[85],"surfaces":[89],"show":[91,132],"it":[93],"stable":[95],"under":[96],"common":[97],"transformations.":[98],"also":[100],"iterative":[103],"refinement":[104],"find":[107],"maxima":[109],"precisely.":[113],"use":[115],"define":[119],"two":[120],"new":[121],"geometric":[122],"properties,":[123],"principal":[128],"axes,":[130],"they":[134],"are":[135],"useful":[136,153],"aligning":[138],"objects":[139],"canonical":[142],"coordinate":[143],"system.":[144],"Finally,":[145],"demonstrate":[147],"several":[155],"applications":[156],"computer":[158],"graphics,":[159],"matching,":[162],"segmentation":[163],"into":[166],"parts,":[167],"automatic":[169],"viewpoint":[170],"selection.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":21},{"year":2016,"cited_by_count":16},{"year":2015,"cited_by_count":17},{"year":2014,"cited_by_count":21},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":17}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
