{"id":"https://openalex.org/W4245380116","doi":"https://doi.org/10.1145/1276377.1276456","title":"Symmetrization","display_name":"Symmetrization","publication_year":2007,"publication_date":"2007-07-29","ids":{"openalex":"https://openalex.org/W4245380116","doi":"https://doi.org/10.1145/1276377.1276456"},"language":"en","primary_location":{"id":"doi:10.1145/1276377.1276456","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276377.1276456","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":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/149327","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058170430","display_name":"Niloy J. Mitra","orcid":"https://orcid.org/0000-0002-2597-0914"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Niloy J. Mitra","raw_affiliation_strings":["TU Vienna"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Vienna","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065368881","display_name":"Leonidas Guibas","orcid":"https://orcid.org/0000-0002-8315-4886"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leonidas J. Guibas","raw_affiliation_strings":["Stanford University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072048687","display_name":"Mark V. Pauly","orcid":"https://orcid.org/0000-0003-4957-4825"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Mark Pauly","raw_affiliation_strings":["ETH Zurich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.9645,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.98745332,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"3","first_page":"63","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","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/T10531","display_name":"Advanced Vision and Imaging","score":0.9977999925613403,"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/symmetrization","display_name":"Symmetrization","score":0.9427469968795776},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.7299995422363281},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6975958347320557},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6063932776451111},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.5093406438827515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4967697262763977},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4781716465950012},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.47070953249931335},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.46540290117263794},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4134315848350525},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38311219215393066},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34442389011383057},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31554070115089417}],"concepts":[{"id":"https://openalex.org/C64999384","wikidata":"https://www.wikidata.org/wiki/Q3507967","display_name":"Symmetrization","level":2,"score":0.9427469968795776},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.7299995422363281},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6975958347320557},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6063932776451111},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.5093406438827515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4967697262763977},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4781716465950012},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.47070953249931335},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.46540290117263794},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4134315848350525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38311219215393066},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34442389011383057},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31554070115089417},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1276377.1276456","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276377.1276456","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:infoscience.epfl.ch:149327","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149327","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:149327","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149327","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W76064434","https://openalex.org/W1890845191","https://openalex.org/W1979233643","https://openalex.org/W1986145324","https://openalex.org/W2010209818","https://openalex.org/W2023507039","https://openalex.org/W2035697311","https://openalex.org/W2059017188","https://openalex.org/W2060206980","https://openalex.org/W2067160009","https://openalex.org/W2082221464","https://openalex.org/W2085261163","https://openalex.org/W2090238112","https://openalex.org/W2097307110","https://openalex.org/W2101011894","https://openalex.org/W2118970948","https://openalex.org/W2123103312","https://openalex.org/W2144071905","https://openalex.org/W2165053603","https://openalex.org/W2235901111","https://openalex.org/W4210811533","https://openalex.org/W4241014687"],"related_works":["https://openalex.org/W2074849352","https://openalex.org/W2029780455","https://openalex.org/W2964072642","https://openalex.org/W4300193992","https://openalex.org/W148042662","https://openalex.org/W1926884802","https://openalex.org/W1569363442","https://openalex.org/W1566328901","https://openalex.org/W2392521623","https://openalex.org/W2770089535"],"abstract_inverted_index":{"We":[0,52,87],"present":[1],"a":[2,14,35,62,77],"symmetrization":[3],"algorithm":[4,9,91],"for":[5,56],"geometric":[6],"objects.":[7],"Our":[8],"enhances":[10],"approximate":[11],"symmetries":[12,40],"of":[13,64,100,110],"model":[15,80],"while":[16],"minimally":[17],"altering":[18],"its":[19],"shape.":[20],"Symmetrizing":[21],"deformations":[22],"are":[23,73],"formulated":[24],"as":[25,48],"an":[26],"optimization":[27],"process":[28],"that":[29,81],"couples":[30],"the":[31,57,83,95,98],"spatial":[32],"domain":[33],"with":[34],"transformation":[36],"configuration":[37],"space,":[38],"where":[39],"can":[41],"be":[42],"expressed":[43],"more":[44],"naturally":[45],"and":[46,97,103,106],"compactly":[47],"parametrized":[49],"point-pair":[50],"mappings.":[51],"derive":[53],"closed-form":[54],"solution":[55],"optimal":[58,70],"symmetry":[59],"transformations,":[60],"given":[61],"set":[63],"corresponding":[65],"sample":[66],"pairs.":[67],"The":[68],"resulting":[69],"displacement":[71],"vectors":[72],"used":[74],"to":[75],"drive":[76],"constrained":[78],"deformation":[79],"pulls":[82],"shape":[84],"towards":[85],"symmetry.":[86],"show":[88],"how":[89],"our":[90],"successfully":[92],"symmetrizes":[93],"both":[94],"geometry":[96],"discretization":[99],"complex":[101],"2D":[102],"3D":[104],"shapes":[105],"discuss":[107],"various":[108],"applications":[109],"such":[111],"symmetrizing":[112],"deformations.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":9}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2022-05-12T00:00:00"}