{"id":"https://openalex.org/W2138257672","doi":"https://doi.org/10.1109/icdar.2015.7333870","title":"Overlapped-triangle analysis with hierarchical ranking of dominance","display_name":"Overlapped-triangle analysis with hierarchical ranking of dominance","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2138257672","doi":"https://doi.org/10.1109/icdar.2015.7333870","mag":"2138257672"},"language":"en","primary_location":{"id":"doi:10.1109/icdar.2015.7333870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdar.2015.7333870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 13th International Conference on Document Analysis and Recognition (ICDAR)","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/A5111928984","display_name":"Xiaoqing Lu","orcid":"https://orcid.org/0009-0002-7354-1214"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767988","display_name":"State Key Laboratory of Digital Publishing Technology","ror":"https://ror.org/021s6g098","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767988"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoqing Lu","raw_affiliation_strings":["Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China","Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China#TAB#","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767988"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100396486","display_name":"Lu Liu","orcid":"https://orcid.org/0000-0002-3747-0140"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767988","display_name":"State Key Laboratory of Digital Publishing Technology","ror":"https://ror.org/021s6g098","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767988"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Liu","raw_affiliation_strings":["Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China","Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China#TAB#","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767988"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103175239","display_name":"Zhi Tang","orcid":"https://orcid.org/0000-0002-6021-8357"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767988","display_name":"State Key Laboratory of Digital Publishing Technology","ror":"https://ror.org/021s6g098","country_code":null,"type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767988"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi Tang","raw_affiliation_strings":["Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China","Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"Institute of Computer Science & Technology, Peking University, State Key Laboratory of Digital Publishing Technology, Beijing, China#TAB#","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767988"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061469520","display_name":"Haibin Ling","orcid":"https://orcid.org/0000-0003-4094-8413"},"institutions":[{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Haibin Ling","raw_affiliation_strings":["Department of Computer and Information Sciences, Temple University, Philadelphia, PA, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, Temple University, Philadelphia, PA, U.S.A","institution_ids":["https://openalex.org/I84392919"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111928984"],"corresponding_institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767988"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08455328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"791","last_page":"795"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9990000128746033,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5420419573783875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4956706762313843},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.49209994077682495},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.472166508436203},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4306446313858032},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4021676182746887},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.208908349275589}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5420419573783875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4956706762313843},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.49209994077682495},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.472166508436203},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4306446313858032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4021676182746887},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.208908349275589},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icdar.2015.7333870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icdar.2015.7333870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 13th International Conference on Document Analysis and Recognition (ICDAR)","raw_type":"proceedings-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/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1493929819","https://openalex.org/W1517014834","https://openalex.org/W1973080977","https://openalex.org/W1978946605","https://openalex.org/W1989454313","https://openalex.org/W2005768981","https://openalex.org/W2012946606","https://openalex.org/W2030800924","https://openalex.org/W2034574263","https://openalex.org/W2059349856","https://openalex.org/W2063047989","https://openalex.org/W2065747631","https://openalex.org/W2070424737","https://openalex.org/W2071819887","https://openalex.org/W2123356859","https://openalex.org/W2135268372","https://openalex.org/W2136248475","https://openalex.org/W2164084182","https://openalex.org/W2164716063","https://openalex.org/W2169503859","https://openalex.org/W6643340528","https://openalex.org/W6666451516","https://openalex.org/W6679838736"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Plane":[0],"geometric":[1],"figures":[2],"(PGFs)":[3],"are":[4],"essential":[5],"diagrams":[6],"that":[7,111,150],"regularly":[8],"appear":[9],"in":[10],"mathematics":[11],"documents.":[12],"To":[13],"understand":[14],"PGFs":[15],"profoundly":[16],"and":[17,42,69,75,106,142,160],"intuitively,":[18],"it":[19],"is":[20],"necessary":[21],"to":[22,56,77,94,102,109],"decompose":[23],"them":[24],"into":[25],"visual":[26],"elements":[27],"rather":[28],"than":[29],"traditional":[30],"line":[31],"segments.":[32],"In":[33],"this":[34],"paper,":[35],"we":[36,127],"present":[37,87,162],"a":[38,57,129],"method":[39,130],"for":[40,131],"detection":[41],"analysis":[43],"of":[44,50,60,82,114,137,144,156],"overlapped":[45],"triangles":[46,54,71,86,117,159],"on":[47,124],"the":[48,112,120,138,157],"basis":[49],"dominance":[51],"rank.":[52],"Overlapped":[53],"lead":[55],"large":[58],"quantity":[59],"redundant":[61],"sub-triangles":[62],"or":[63],"incident":[64],"triangles.":[65,147],"The":[66],"most":[67,155],"important":[68],"representative":[70],"must":[72],"be":[73],"detected":[74],"adopted":[76],"reduce":[78],"redundancy.":[79],"Diverse":[80],"types":[81],"relationships":[83],"among":[84],"potential":[85,98,158],"at":[88],"least":[89],"three":[90],"obstacles:":[91],"(1)":[92],"how":[93,101,108],"precisely":[95],"detect":[96,154],"all":[97],"triangles,":[99,105,134],"(2)":[100],"select":[103],"predominant":[104,116,133,169],"(3)":[107],"verify":[110],"combination":[113],"these":[115],"can":[118,153,161],"reconstruct":[119],"original":[121],"figure.":[122],"Based":[123],"Gestalt":[125],"theory,":[126],"propose":[128],"selecting":[132],"including":[135],"selection":[136],"main":[139],"convex":[140],"triangle":[141],"composition":[143],"interior":[145],"auxiliary":[146],"Experiments":[148],"show":[149],"our":[151],"algorithm":[152],"reasonable":[163],"decomposition":[164],"solutions":[165],"using":[166],"only":[167],"few":[168],"elements.":[170]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}