{"id":"https://openalex.org/W2008802909","doi":"https://doi.org/10.1109/cvpr.2012.6247700","title":"Affine-invariant, elastic shape analysis of planar contours","display_name":"Affine-invariant, elastic shape analysis of planar contours","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2008802909","doi":"https://doi.org/10.1109/cvpr.2012.6247700","mag":"2008802909"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2012.6247700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2012.6247700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-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/A5085463907","display_name":"Darshan Bryner","orcid":"https://orcid.org/0000-0003-4987-9274"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. Bryner","raw_affiliation_strings":["Department of Statistics, Florida State University, Tallahassee, FL, USA","Department of Statistics Florida State University Tallahassee FL"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Department of Statistics Florida State University Tallahassee FL","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086786635","display_name":"Anuj Srivastava","orcid":"https://orcid.org/0000-0001-7406-0338"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Srivastava","raw_affiliation_strings":["Department of Statistics, Florida State University, Tallahassee, FL, USA","Department of Statistics Florida State University Tallahassee FL"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Department of Statistics Florida State University Tallahassee FL","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038818778","display_name":"Eric Klassen","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Klassen","raw_affiliation_strings":["Department of Mathematics, Florida State University, Tallahassee, FL, USA","Dept. of Mathematics, Florida State University, Tallahassee, FL#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Florida State University, Tallahassee, FL, USA","institution_ids":["https://openalex.org/I103163165"]},{"raw_affiliation_string":"Dept. of Mathematics, Florida State University, Tallahassee, FL#TAB#","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085463907"],"corresponding_institution_ids":["https://openalex.org/I103163165"],"apc_list":null,"apc_paid":null,"fwci":2.5256,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.87725476,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"390","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10421","display_name":"Pleistocene-Era Hominins and Archaeology","score":0.9226999878883362,"subfield":{"id":"https://openalex.org/subfields/3314","display_name":"Anthropology"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.7367326021194458},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7217711210250854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.652301549911499},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5521159768104553},{"id":"https://openalex.org/keywords/affine-shape-adaptation","display_name":"Affine shape adaptation","score":0.4971814453601837},{"id":"https://openalex.org/keywords/affine-coordinate-system","display_name":"Affine coordinate system","score":0.4703277051448822},{"id":"https://openalex.org/keywords/shape-analysis","display_name":"Shape analysis (program analysis)","score":0.4652118980884552},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3695301413536072},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3666778802871704},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.34957242012023926},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3204617202281952},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.29524463415145874},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18449446558952332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12268117070198059}],"concepts":[{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.7367326021194458},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7217711210250854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.652301549911499},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5521159768104553},{"id":"https://openalex.org/C18516315","wikidata":"https://www.wikidata.org/wiki/Q4688950","display_name":"Affine shape adaptation","level":4,"score":0.4971814453601837},{"id":"https://openalex.org/C95565831","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine coordinate system","level":4,"score":0.4703277051448822},{"id":"https://openalex.org/C112604564","wikidata":"https://www.wikidata.org/wiki/Q7489226","display_name":"Shape analysis (program analysis)","level":3,"score":0.4652118980884552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3695301413536072},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3666778802871704},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.34957242012023926},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3204617202281952},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.29524463415145874},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18449446558952332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12268117070198059},{"id":"https://openalex.org/C97686452","wikidata":"https://www.wikidata.org/wiki/Q7604153","display_name":"Static analysis","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2012.6247700","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2012.6247700","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.713.682","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.713.682","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://stat.fsu.edu/%7Eanuj/pdf/papers/Y2012/Bryner_CVPR_2012_Paper.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1513575513","https://openalex.org/W1797446837","https://openalex.org/W1981198419","https://openalex.org/W2031813546","https://openalex.org/W2061145221","https://openalex.org/W2105664606","https://openalex.org/W2120134541","https://openalex.org/W2127535959","https://openalex.org/W2140798815","https://openalex.org/W2146932984","https://openalex.org/W2160303236","https://openalex.org/W2162744734","https://openalex.org/W2163909165","https://openalex.org/W2164842737","https://openalex.org/W2165168736","https://openalex.org/W4238579823","https://openalex.org/W4285719527","https://openalex.org/W6630704698","https://openalex.org/W6684139232"],"related_works":["https://openalex.org/W2184784635","https://openalex.org/W2038416447","https://openalex.org/W2077614002","https://openalex.org/W2498386001","https://openalex.org/W1510464305","https://openalex.org/W2016861691","https://openalex.org/W2036246238","https://openalex.org/W4303446453","https://openalex.org/W2741586649","https://openalex.org/W3163577283"],"abstract_inverted_index":{"We":[0,60],"present":[1],"a":[2,62,91,117],"Riemannian":[3,104],"framework":[4],"for":[5,94,142],"analyzing":[6],"shapes":[7],"of":[8,24,65,77,108,134,149,170],"planar":[9],"contours":[10],"in":[11,116],"which":[12],"metrics":[13],"and":[14,22,37,58,80,83,89,111,125,146,157,160],"other":[15],"analyses":[16],"are":[17,29,32,49,76,86,140],"invariant":[18,31],"to":[19,34,51],"affine":[20,30,121],"transformations":[21],"re-parameterizations":[23],"contours.":[25],"Current":[26],"methods":[27,44],"that":[28,45],"restricted":[33,50],"point":[35],"sets":[36],"do":[38],"not":[39],"handle":[40],"full":[41],"curves,":[42],"while":[43],"analyze":[46],"parameterized":[47],"curves":[48,67,69],"equivalence":[52],"under":[53,101],"similarity":[54],"transformation":[55],"(rigid":[56],"motion":[57],"scale).":[59],"construct":[61],"pre-shape":[63],"manifold":[64,100],"standardized":[66],"-":[68,88],"whose":[70],"centroid":[71],"is":[72],"at":[73],"the":[74,102,109,112,126,168],"origin,":[75],"unit":[78],"length,":[79],"their":[81],"x":[82],"y":[84],"coordinates":[85],"uncorrelated":[87],"develop":[90],"path-straightening":[92],"technique":[93],"computing":[95],"geodesics":[96,139],"on":[97],"this":[98,171],"nonlinear":[99],"elastic":[103,122],"metric.":[105],"The":[106],"removal":[107],"rotation":[110],"re-parameterization":[113],"groups":[114],"results":[115,153],"quotient":[118],"space,":[119,124],"termed":[120],"shape":[123,143],"resulting":[127],"geodesic":[128],"paths":[129],"exhibit":[130],"an":[131,161],"improved":[132],"matching":[133],"features":[135],"across":[136],"curves.":[137,151],"These":[138],"used":[141],"comparison,":[144],"retrieval,":[145],"statistical":[147],"modeling":[148],"given":[150],"Experimental":[152],"using":[154],"both":[155],"simulated":[156],"real":[158],"data,":[159],"application":[162],"involving":[163],"pose-invariant":[164],"activity":[165],"recognition,":[166],"demonstrate":[167],"success":[169],"framework.":[172]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}