{"id":"https://openalex.org/W2065992340","doi":"https://doi.org/10.1109/icpr.2008.4761501","title":"Bilateral symmetry of object silhouettes under perspective projection","display_name":"Bilateral symmetry of object silhouettes under perspective projection","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2065992340","doi":"https://doi.org/10.1109/icpr.2008.4761501","mag":"2065992340"},"language":"en","primary_location":{"id":"doi:10.1109/icpr.2008.4761501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2008.4761501","pdf_url":null,"source":{"id":"https://openalex.org/S4393916651","display_name":"Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition","issn_l":"1041-3278","issn":["1041-3278","1051-4651"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 19th International Conference on Pattern Recognition","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/A5022514317","display_name":"Konstantinos Bitsakos","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Bitsakos","raw_affiliation_strings":["Center for Automation Research, University of Maryland","Center for Automation Research University of Maryland College Park, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Automation Research, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Center for Automation Research University of Maryland College Park, MD","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051298676","display_name":"Hyunmin Yi","orcid":"https://orcid.org/0000-0002-7750-9679"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"H. Yi","raw_affiliation_strings":["Center for Automation Research, University of Maryland","Center for Automation Research University of Maryland College Park, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Automation Research, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Center for Automation Research University of Maryland College Park, MD","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100730620","display_name":"Yi Li","orcid":"https://orcid.org/0000-0003-0986-3139"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L. Yi","raw_affiliation_strings":["Center for Automation Research, University of Maryland","Center for Automation Research University of Maryland College Park, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Automation Research, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Center for Automation Research University of Maryland College Park, MD","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083553427","display_name":"Cornelia Ferm\u00fcller","orcid":"https://orcid.org/0000-0003-2044-2386"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Fermuller","raw_affiliation_strings":["Center for Automation Research, University of Maryland","Center for Automation Research University of Maryland College Park, MD"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Automation Research, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Center for Automation Research University of Maryland College Park, MD","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.5213,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.56833779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"12","issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9997000098228455,"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":0.9984999895095825,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.998199999332428,"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/perspective-distortion","display_name":"Perspective distortion","score":0.7831476330757141},{"id":"https://openalex.org/keywords/vanishing-point","display_name":"Vanishing point","score":0.7021626234054565},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.6735419034957886},{"id":"https://openalex.org/keywords/silhouette","display_name":"Silhouette","score":0.6527391672134399},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.6380836963653564},{"id":"https://openalex.org/keywords/cross-ratio","display_name":"Cross-ratio","score":0.6190892457962036},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.5672231912612915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5355181097984314},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48870185017585754},{"id":"https://openalex.org/keywords/midpoint","display_name":"Midpoint","score":0.47994759678840637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4777602255344391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4463097155094147},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.4461643099784851},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4184276759624481},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.41724318265914917},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4156695306301117},{"id":"https://openalex.org/keywords/reflection-symmetry","display_name":"Reflection symmetry","score":0.4137052297592163},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3298690617084503},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.22284841537475586}],"concepts":[{"id":"https://openalex.org/C2779989122","wikidata":"https://www.wikidata.org/wiki/Q15889487","display_name":"Perspective distortion","level":3,"score":0.7831476330757141},{"id":"https://openalex.org/C99404194","wikidata":"https://www.wikidata.org/wiki/Q163362","display_name":"Vanishing point","level":3,"score":0.7021626234054565},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6735419034957886},{"id":"https://openalex.org/C58103923","wikidata":"https://www.wikidata.org/wiki/Q2286025","display_name":"Silhouette","level":2,"score":0.6527391672134399},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.6380836963653564},{"id":"https://openalex.org/C101586328","wikidata":"https://www.wikidata.org/wiki/Q899539","display_name":"Cross-ratio","level":2,"score":0.6190892457962036},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.5672231912612915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5355181097984314},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48870185017585754},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.47994759678840637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4777602255344391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4463097155094147},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.4461643099784851},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4184276759624481},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.41724318265914917},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4156695306301117},{"id":"https://openalex.org/C133978748","wikidata":"https://www.wikidata.org/wiki/Q15955882","display_name":"Reflection symmetry","level":2,"score":0.4137052297592163},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3298690617084503},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.22284841537475586},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icpr.2008.4761501","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icpr.2008.4761501","pdf_url":null,"source":{"id":"https://openalex.org/S4393916651","display_name":"Proceedings - International Conference on Pattern Recognition/Proceedings/International Conference on Pattern Recognition","issn_l":"1041-3278","issn":["1041-3278","1051-4651"],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 19th International Conference on Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.157.1025","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.1025","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umd.edu/~kbits/papers/ICPR08.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.1616","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.1616","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://figment.cse.usf.edu/~sfefilat/data/papers/TuAT9.32.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W988466463","https://openalex.org/W1523954320","https://openalex.org/W1566328901","https://openalex.org/W1823675503","https://openalex.org/W1874694654","https://openalex.org/W1973016074","https://openalex.org/W1986145324","https://openalex.org/W2062068537","https://openalex.org/W2095315834","https://openalex.org/W2106404777","https://openalex.org/W2107198582","https://openalex.org/W2109722393","https://openalex.org/W2121305270","https://openalex.org/W2135463994","https://openalex.org/W2147824893","https://openalex.org/W2150966380","https://openalex.org/W2489602016","https://openalex.org/W6631261986","https://openalex.org/W6634046001"],"related_works":["https://openalex.org/W50868727","https://openalex.org/W2027090679","https://openalex.org/W2180603666","https://openalex.org/W1035743393","https://openalex.org/W2053465051","https://openalex.org/W2609000551","https://openalex.org/W2356056145","https://openalex.org/W2620715523","https://openalex.org/W2065992340","https://openalex.org/W2073533312"],"abstract_inverted_index":{"Symmetry":[0],"is":[1,8,48],"an":[2,20],"important":[3],"property":[4],"of":[5,27,29,38,58,60,76,83,94,116,130],"objects":[6,31,132],"and":[7,63],"exhibited":[9],"in":[10,113],"different":[11],"forms":[12],"e.g.,":[13],"bilateral,":[14],"rotational,":[15],"etc.":[16],"This":[17],"paper":[18],"presents":[19],"algorithm":[21],"for":[22,98],"computing":[23],"the":[24,36,39,51,74,77,81,88,95,105,114],"bilateral":[25],"symmetry":[26,106],"silhouettes":[28],"shallow":[30],"under":[32],"perspective":[33],"distortion,":[34],"exploiting":[35],"invariance":[37],"cross":[40,52,61],"ratio":[41,53],"to":[42,49,54,79,109],"projective":[43],"transformations.":[44],"The":[45,71],"basic":[46],"idea":[47],"use":[50],"compute":[55],"a":[56,66,92,99,110],"number":[57],"midpoints":[59],"sections":[62],"then":[64],"fit":[65],"straight":[67],"line":[68,78],"through":[69],"them.":[70],"goodness-of-fit":[72],"determines":[73],"likelihood":[75],"be":[80],"axis":[82,107],"symmetry.":[84],"We":[85,119],"analytically":[86],"estimate":[87],"midpointpsilas":[89],"location":[90],"as":[91,125,127],"function":[93],"vanishing":[96,117],"point":[97],"given":[100],"object":[101],"silhouette.":[102],"Hence":[103],"finding":[104],"amounts":[108],"2D":[111],"search":[112],"space":[115],"points.":[118],"present":[120],"experiments":[121],"on":[122],"two":[123],"datasets":[124],"well":[126],"Internet":[128],"images":[129],"symmetric":[131],"that":[133],"validate":[134],"our":[135],"approach.":[136]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}