{"id":"https://openalex.org/W2040106222","doi":"https://doi.org/10.1016/s0031-3203(00)00045-5","title":"On the computation of the affine skeletons of planar curves and the detection of skew symmetry","display_name":"On the computation of the affine skeletons of planar curves and the detection of skew symmetry","publication_year":2001,"publication_date":"2001-05-01","ids":{"openalex":"https://openalex.org/W2040106222","doi":"https://doi.org/10.1016/s0031-3203(00)00045-5","mag":"2040106222"},"language":"en","primary_location":{"id":"doi:10.1016/s0031-3203(00)00045-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0031-3203(00)00045-5","pdf_url":null,"source":{"id":"https://openalex.org/S414566","display_name":"Pattern Recognition","issn_l":"0031-3203","issn":["0031-3203","1873-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition","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/A5109064962","display_name":"S. Betel\u00fa","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Santiago Betelu","raw_affiliation_strings":["Department of Mathematics, University of Minnesota, 27 Vincent Hall, 206 Church St SE, Minnesota, MN 55455, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Minnesota, 27 Vincent Hall, 206 Church St SE, Minnesota, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025218580","display_name":"Guillermo Sapiro","orcid":"https://orcid.org/0000-0001-9190-6964"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guillermo Sapiro","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, 27 Vincent Hall, 206 Church St SE, Minnesota, MN 55455, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, 27 Vincent Hall, 206 Church St SE, Minnesota, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012935165","display_name":"Allen Tannenbaum","orcid":"https://orcid.org/0000-0002-0567-5256"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Allen Tannenbaum","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, 27 Vincent Hall, 206 Church St SE, Minnesota, MN 55455, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, 27 Vincent Hall, 206 Church St SE, Minnesota, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110431325","display_name":"Peter Giblin","orcid":null},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Peter J. Giblin","raw_affiliation_strings":["Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK","Dept. of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"Dept. of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5109064962"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":{"value":2710,"currency":"USD","value_usd":2710},"apc_paid":null,"fwci":0.3665,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68208336,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"5","first_page":"943","last_page":"952"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9975000023841858,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9975000023841858,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9965999722480774,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9955999851226807,"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/affine-transformation","display_name":"Affine transformation","score":0.8782166838645935},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.7881503701210022},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.680162250995636},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6517294049263},{"id":"https://openalex.org/keywords/affine-geometry-of-curves","display_name":"Affine geometry of curves","score":0.6228097677230835},{"id":"https://openalex.org/keywords/affine-shape-adaptation","display_name":"Affine shape adaptation","score":0.6131831407546997},{"id":"https://openalex.org/keywords/affine-plane","display_name":"Affine plane (incidence geometry)","score":0.5259913206100464},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5229188203811646},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5169233679771423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4859146177768707},{"id":"https://openalex.org/keywords/harris-affine-region-detector","display_name":"Harris affine region detector","score":0.46508118510246277},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39742809534072876},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.396887868642807},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.35668081045150757},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3329974114894867},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2927747964859009},{"id":"https://openalex.org/keywords/plane-curve","display_name":"Plane curve","score":0.16429072618484497},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.10536235570907593}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.8782166838645935},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.7881503701210022},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.680162250995636},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6517294049263},{"id":"https://openalex.org/C202411454","wikidata":"https://www.wikidata.org/wiki/Q4688941","display_name":"Affine geometry of curves","level":4,"score":0.6228097677230835},{"id":"https://openalex.org/C18516315","wikidata":"https://www.wikidata.org/wiki/Q4688950","display_name":"Affine shape adaptation","level":4,"score":0.6131831407546997},{"id":"https://openalex.org/C154610627","wikidata":"https://www.wikidata.org/wiki/Q382491","display_name":"Affine plane (incidence geometry)","level":3,"score":0.5259913206100464},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5229188203811646},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5169233679771423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4859146177768707},{"id":"https://openalex.org/C6408098","wikidata":"https://www.wikidata.org/wiki/Q17021115","display_name":"Harris affine region detector","level":5,"score":0.46508118510246277},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39742809534072876},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.396887868642807},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.35668081045150757},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3329974114894867},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2927747964859009},{"id":"https://openalex.org/C43809302","wikidata":"https://www.wikidata.org/wiki/Q1060874","display_name":"Plane curve","level":2,"score":0.16429072618484497},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.10536235570907593},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0031-3203(00)00045-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0031-3203(00)00045-5","pdf_url":null,"source":{"id":"https://openalex.org/S414566","display_name":"Pattern Recognition","issn_l":"0031-3203","issn":["0031-3203","1873-5142"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Recognition","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W96629785","https://openalex.org/W110784205","https://openalex.org/W597324614","https://openalex.org/W1589327867","https://openalex.org/W1594373551","https://openalex.org/W1973369053","https://openalex.org/W1990617091","https://openalex.org/W1992779461","https://openalex.org/W2005723282","https://openalex.org/W2024335283","https://openalex.org/W2037732452","https://openalex.org/W2038991247","https://openalex.org/W2049378174","https://openalex.org/W2052292812","https://openalex.org/W2077931785","https://openalex.org/W2087290026","https://openalex.org/W2087907919","https://openalex.org/W2089460038","https://openalex.org/W2106401644","https://openalex.org/W2109828971","https://openalex.org/W2113405866","https://openalex.org/W2122182478","https://openalex.org/W2127161628","https://openalex.org/W2149043070","https://openalex.org/W2164741953","https://openalex.org/W2289492256","https://openalex.org/W2322951925","https://openalex.org/W2340480757","https://openalex.org/W2404406925","https://openalex.org/W2521463608","https://openalex.org/W3159914786","https://openalex.org/W3174974282","https://openalex.org/W4213372219","https://openalex.org/W4229734144","https://openalex.org/W4234126600","https://openalex.org/W4234272635","https://openalex.org/W4238332724","https://openalex.org/W4250330559","https://openalex.org/W4301459590","https://openalex.org/W6656347227","https://openalex.org/W6794937971"],"related_works":["https://openalex.org/W2077614002","https://openalex.org/W2036246238","https://openalex.org/W1998387052","https://openalex.org/W2038416447","https://openalex.org/W4213445462","https://openalex.org/W2964008969","https://openalex.org/W2101230393","https://openalex.org/W4300070731","https://openalex.org/W2399434605","https://openalex.org/W2035497257"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}