{"id":"https://openalex.org/W2133826154","doi":"https://doi.org/10.1109/cvpr.2006.127","title":"Globally Optimal Grouping for Symmetric Boundaries","display_name":"Globally Optimal Grouping for Symmetric Boundaries","publication_year":2006,"publication_date":"2006-07-10","ids":{"openalex":"https://openalex.org/W2133826154","doi":"https://doi.org/10.1109/cvpr.2006.127","mag":"2133826154"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2006.127","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2006.127","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1 (CVPR'06)","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/A5065398242","display_name":"Joachim S. Stahl","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.S. Stahl","raw_affiliation_strings":["Department of Computer Science and Engineering, University of South Carolina, Columbia, SC, USA","University of South Carolina, Columbia;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Carolina, Columbia, SC, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"University of South Carolina, Columbia;","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082259804","display_name":"Song Wang","orcid":"https://orcid.org/0000-0003-4152-5295"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Song Wang","raw_affiliation_strings":["Department of Computer Science and Engineering, University of South Carolina, Columbia, SC, USA","University of South Carolina, Columbia;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Carolina, Columbia, SC, USA","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"University of South Carolina, Columbia;","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":null,"apc_paid":null,"fwci":2.4384,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.90804106,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"1030","last_page":"1037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9990000128746033,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9990000128746033,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9988999962806702,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/boundary","display_name":"Boundary (topology)","score":0.6143732070922852},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.591870903968811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5780497789382935},{"id":"https://openalex.org/keywords/security-token","display_name":"Security token","score":0.5431874990463257},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5369954109191895},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5284430980682373},{"id":"https://openalex.org/keywords/gestalt-psychology","display_name":"Gestalt psychology","score":0.4929385185241699},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.48054438829421997},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.47863855957984924},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4610629975795746},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4602434039115906},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43091216683387756},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4307045042514801},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.42343616485595703},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36869221925735474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3583986759185791},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1961582899093628},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12434709072113037}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6143732070922852},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.591870903968811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5780497789382935},{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.5431874990463257},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5369954109191895},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5284430980682373},{"id":"https://openalex.org/C27362006","wikidata":"https://www.wikidata.org/wiki/Q272021","display_name":"Gestalt psychology","level":3,"score":0.4929385185241699},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.48054438829421997},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.47863855957984924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4610629975795746},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4602434039115906},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43091216683387756},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4307045042514801},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.42343616485595703},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36869221925735474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3583986759185791},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1961582899093628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12434709072113037},{"id":"https://openalex.org/C26760741","wikidata":"https://www.wikidata.org/wiki/Q160402","display_name":"Perception","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","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":2,"locations":[{"id":"doi:10.1109/cvpr.2006.127","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2006.127","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1 (CVPR'06)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.121.1746","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.121.1746","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cse.sc.edu/~stahlj/docs/cvpr06.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W96629785","https://openalex.org/W597324614","https://openalex.org/W1508960934","https://openalex.org/W1513966746","https://openalex.org/W1530949933","https://openalex.org/W1558964055","https://openalex.org/W1566407967","https://openalex.org/W1977545325","https://openalex.org/W1992779461","https://openalex.org/W2011984774","https://openalex.org/W2063551819","https://openalex.org/W2077246452","https://openalex.org/W2108299137","https://openalex.org/W2111692787","https://openalex.org/W2117193984","https://openalex.org/W2117740473","https://openalex.org/W2120947612","https://openalex.org/W2129104643","https://openalex.org/W2136120429","https://openalex.org/W2140966579","https://openalex.org/W2142707712","https://openalex.org/W2146498863","https://openalex.org/W2148861411","https://openalex.org/W2149929544","https://openalex.org/W2160255746","https://openalex.org/W3014174767","https://openalex.org/W3020921755","https://openalex.org/W3160669900","https://openalex.org/W4213372219","https://openalex.org/W4293052488","https://openalex.org/W6633730487","https://openalex.org/W6683426678"],"related_works":["https://openalex.org/W1593175091","https://openalex.org/W3039810647","https://openalex.org/W4327521413","https://openalex.org/W823300309","https://openalex.org/W2385281989","https://openalex.org/W2752358874","https://openalex.org/W2082622678","https://openalex.org/W2501344691","https://openalex.org/W2508759649","https://openalex.org/W4384565558"],"abstract_inverted_index":{"Many":[0],"natural":[1,125],"and":[2,65,85,126],"man-made":[3],"structures":[4],"have":[5],"a":[6,15,31,44,54,69,95,109,122],"boundary":[7,64,90,101],"that":[8,17,102],"shows":[9],"certain":[10],"level":[11],"of":[12,47,53,82,124],"bilateral":[13],"symmetry,":[14],"property":[16],"has":[18],"been":[19],"used":[20],"to":[21,98],"solve":[22],"many":[23],"computer-vision":[24],"tasks.":[25],"In":[26],"this":[27,75,104,116],"paper,":[28],"we":[29,59,114],"present":[30],"new":[32,45],"grouping":[33,48,71,76,105],"method":[34,117],"for":[35],"detecting":[36],"closed":[37],"boundaries":[38],"with":[39,57],"symmetry.":[40,91],"We":[41,92],"first":[42],"construct":[43],"type":[46],"token":[49],"in":[50,108],"the":[51,88,100],"form":[52],"symmetric":[55],"trapezoid,":[56],"which":[58],"can":[60],"flexibly":[61],"incorporate":[62],"various":[63],"region":[66],"information":[67],"into":[68],"unified":[70],"cost":[72,77,106],"function.":[73],"Particularly,":[74],"function":[78,107],"integrates":[79],"Gestalt":[80],"laws":[81],"proximity,":[83],"closure,":[84],"continuity,":[86],"besides":[87],"desirable":[89],"then":[93],"develop":[94],"graph":[96],"algorithm":[97],"find":[99],"minimizes":[103],"globally":[110],"optimal":[111],"fashion.":[112],"Finally,":[113],"test":[115],"by":[118],"some":[119],"experiments":[120],"on":[121],"set":[123],"medical":[127],"images.":[128]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
