{"id":"https://openalex.org/W2123103312","doi":"https://doi.org/10.1007/bf01901268","title":"Optimal algorithms for symmetry detection in two and three dimensions","display_name":"Optimal algorithms for symmetry detection in two and three dimensions","publication_year":1985,"publication_date":"1985-07-01","ids":{"openalex":"https://openalex.org/W2123103312","doi":"https://doi.org/10.1007/bf01901268","mag":"2123103312"},"language":"en","primary_location":{"id":"doi:10.1007/bf01901268","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01901268","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/47135","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043487117","display_name":"Jan Wolter","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jan D. Wolter","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, The University of Michigan, 48109, Ann Arbor, MI, USA","Dept. of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, The University of Michigan, 48109, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110312059","display_name":"Tony C. Woo","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tony C. Woo","raw_affiliation_strings":["Department of Industrial and Operations Engineering, The University of Michigan, 48109, Ann Arbor, MI, USA","Department of Industrial and Operations Engineering , The University of Michigan , Ann Arbor , USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Operations Engineering, The University of Michigan, 48109, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Industrial and Operations Engineering , The University of Michigan , Ann Arbor , USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112003241","display_name":"Richard A. Volz","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard A. Volz","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, The University of Michigan, 48109, Ann Arbor, MI, USA","Dept. of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, The University of Michigan, 48109, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043487117"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.2155,"has_fulltext":true,"cited_by_count":111,"citation_normalized_percentile":{"value":0.90690024,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"1","issue":"1","first_page":"37","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9958999752998352,"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9861000180244446,"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/polyhedron","display_name":"Polyhedron","score":0.9341692924499512},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.5887894034385681},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5855472087860107},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5555306077003479},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5533376932144165},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5203953981399536},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49694254994392395},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4962688088417053},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.47858524322509766},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.4577942490577698},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4425647556781769},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4311119019985199},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.41515445709228516},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3919517397880554},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16618812084197998},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09133055806159973},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.08047842979431152}],"concepts":[{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.9341692924499512},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.5887894034385681},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5855472087860107},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5555306077003479},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5533376932144165},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5203953981399536},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49694254994392395},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4962688088417053},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.47858524322509766},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.4577942490577698},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4425647556781769},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4311119019985199},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.41515445709228516},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3919517397880554},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16618812084197998},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09133055806159973},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.08047842979431152}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01901268","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01901268","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","raw_type":"journal-article"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/47135","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/47135>","pdf_url":"https://hdl.handle.net/2027.42/47135","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Article"}],"best_oa_location":{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/47135","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/47135>","pdf_url":"https://hdl.handle.net/2027.42/47135","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"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":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2123103312.pdf","grobid_xml":"https://content.openalex.org/works/W2123103312.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1655990431","https://openalex.org/W1970633662","https://openalex.org/W1981233261","https://openalex.org/W1985108724","https://openalex.org/W1998970033","https://openalex.org/W2000201258","https://openalex.org/W2007553798","https://openalex.org/W2041775009","https://openalex.org/W2044586112","https://openalex.org/W2090485671","https://openalex.org/W2091836083","https://openalex.org/W2093240266","https://openalex.org/W2799004609","https://openalex.org/W3202159599","https://openalex.org/W4213214460","https://openalex.org/W4235610188","https://openalex.org/W4237692191"],"related_works":["https://openalex.org/W2916043681","https://openalex.org/W2896131632","https://openalex.org/W2391438543","https://openalex.org/W2008231869","https://openalex.org/W323119424","https://openalex.org/W1990773291","https://openalex.org/W2098566156","https://openalex.org/W4301029430","https://openalex.org/W2293096836","https://openalex.org/W2145403541"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}