{"id":"https://openalex.org/W7163215210","doi":"https://doi.org/10.1016/j.array.2026.100899","title":"An accurate scaling algorithm for convex and non-convex polygons based on the angle bisector method","display_name":"An accurate scaling algorithm for convex and non-convex polygons based on the angle bisector method","publication_year":2026,"publication_date":"2026-06-02","ids":{"openalex":"https://openalex.org/W7163215210","doi":"https://doi.org/10.1016/j.array.2026.100899"},"language":"en","primary_location":{"id":"doi:10.1016/j.array.2026.100899","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.array.2026.100899","pdf_url":null,"source":{"id":"https://openalex.org/S4210194039","display_name":"Array","issn_l":"2590-0056","issn":["2590-0056"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Array","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.array.2026.100899","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137663993","display_name":"Lu Chen","orcid":"https://orcid.org/0009-0000-6132-6854"},"institutions":[{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Chen","raw_affiliation_strings":["School of Computer Science and Cyber Security (Pilot Software College), Chengdu University of Technology, Chengdu 610051, China"],"raw_orcid":"https://orcid.org/0009-0000-6132-6854","affiliations":[{"raw_affiliation_string":"School of Computer Science and Cyber Security (Pilot Software College), Chengdu University of Technology, Chengdu 610051, China","institution_ids":["https://openalex.org/I24201400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137662555","display_name":"MingJie Tao","orcid":null},"institutions":[{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]},{"id":"https://openalex.org/I31595395","display_name":"Chengdu University of Technology","ror":"https://ror.org/05pejbw21","country_code":"CN","type":"education","lineage":["https://openalex.org/I31595395"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"MingJie Tao","raw_affiliation_strings":["School of Physics, Chengdu University of Technology, Chengdu 610051, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics, Chengdu University of Technology, Chengdu 610051, China","institution_ids":["https://openalex.org/I24201400","https://openalex.org/I31595395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137662359","display_name":"DongHao Hu","orcid":null},"institutions":[{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]},{"id":"https://openalex.org/I31595395","display_name":"Chengdu University of Technology","ror":"https://ror.org/05pejbw21","country_code":"CN","type":"education","lineage":["https://openalex.org/I31595395"]},{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"DongHao Hu","raw_affiliation_strings":["School of Mathematical Sciences, Chengdu University of Technology, Chengdu 610051, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Chengdu University of Technology, Chengdu 610051, China","institution_ids":["https://openalex.org/I24201400","https://openalex.org/I31595395","https://openalex.org/I4210125143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103101761","display_name":"Boyao Li","orcid":"https://orcid.org/0000-0002-1220-2756"},"institutions":[{"id":"https://openalex.org/I177955009","display_name":"China University of Political Science and Law","ror":"https://ror.org/00e49gy82","country_code":"CN","type":"education","lineage":["https://openalex.org/I177955009"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"BoYao Li","raw_affiliation_strings":["School of Business, China University of Political Science and Law, Beijing 100088, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business, China University of Political Science and Law, Beijing 100088, China","institution_ids":["https://openalex.org/I177955009"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1420,"currency":"USD","value_usd":1420},"apc_paid":{"value":1420,"currency":"USD","value_usd":1420},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.71563484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":null,"first_page":"100899","last_page":"100899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.8210999965667725,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.8210999965667725,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.02199999988079071,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.021900000050663948,"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/equidistant","display_name":"Equidistant","score":0.6345999836921692},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.611299991607666},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5023000240325928},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44510000944137573},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.4426000118255615},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4392000138759613},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.40790000557899475},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.3984000086784363},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.3961000144481659}],"concepts":[{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.6345999836921692},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.611299991607666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5971999764442444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5478000044822693},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5023000240325928},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44510000944137573},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.4426000118255615},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4392000138759613},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.3984000086784363},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.3961000144481659},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.3952000141143799},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3700000047683716},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.36160001158714294},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.33390000462532043},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.3305000066757202},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.3183000087738037},{"id":"https://openalex.org/C59902600","wikidata":"https://www.wikidata.org/wiki/Q1575331","display_name":"Point in polygon","level":3,"score":0.3109000027179718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2858999967575073},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.2831000089645386},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.2727999985218048},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.2590999901294708},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.array.2026.100899","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.array.2026.100899","pdf_url":null,"source":{"id":"https://openalex.org/S4210194039","display_name":"Array","issn_l":"2590-0056","issn":["2590-0056"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Array","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.array.2026.100899","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.array.2026.100899","pdf_url":null,"source":{"id":"https://openalex.org/S4210194039","display_name":"Array","issn_l":"2590-0056","issn":["2590-0056"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Array","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5906741619110107,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W68832321","https://openalex.org/W2008151176","https://openalex.org/W2021036023","https://openalex.org/W2060640461","https://openalex.org/W2079545962","https://openalex.org/W3195144531","https://openalex.org/W3205535171","https://openalex.org/W4242811155","https://openalex.org/W4377090911","https://openalex.org/W4390826444","https://openalex.org/W4396512606","https://openalex.org/W4412530073","https://openalex.org/W4412673651"],"related_works":[],"abstract_inverted_index":{"This":[0,87],"paper":[1],"proposes":[2],"an":[3,109],"accurate":[4],"offset":[5],"algorithm":[6,56,73,128],"for":[7,116,162],"convex":[8,168],"and":[9,31,39,83,91,101,136,151,159,169],"non-convex":[10,170],"polygons":[11],"based":[12,48,79],"on":[13,49,80],"angular":[14],"bisectors,":[15],"termed":[16],"the":[17,25,44,55,72,89,95,119,126,163],"ABO":[18,127],"(Angular":[19],"Bisector":[20],"Offset)":[21],"algorithm.":[22],"By":[23],"calculating":[24],"unit":[26],"vectors":[27],"of":[28,60,94,166],"adjacent":[29],"edges":[30],"their":[32],"cross":[33],"products":[34],"to":[35],"determine":[36],"vertex":[37,102],"convexity,":[38],"positioning":[40],"new":[41],"vertices":[42],"along":[43],"angle":[45],"bisector":[46],"direction":[47],"scaling":[50,59,165],"orientation":[51],"(inward":[52],"or":[53],"outward),":[54],"achieves":[57],"equidistant":[58],"complex":[61],"polygon":[62,97],"contours.":[63],"To":[64],"address":[65],"potential":[66],"edge":[67],"self-intersections":[68],"during":[69],"outward":[70],"scaling,":[71],"incorporates":[74],"a":[75,156],"topology":[76],"repair":[77],"mechanism":[78],"planar":[81],"graph":[82],"outer":[84],"boundary":[85],"search.":[86],"ensures":[88],"simplicity":[90],"topological":[92,137],"consistency":[93],"output":[96],"through":[98],"intersection":[99],"detection":[100],"replacement.":[103],"For":[104],"graphics":[105],"with":[106],"curved":[107],"boundaries,":[108],"equal-error":[110],"line":[111],"approximation":[112],"method":[113],"is":[114,140],"employed":[115],"discretization,":[117],"expanding":[118],"algorithm's":[120],"applicability.":[121],"Experimental":[122],"results":[123],"demonstrate":[124],"that":[125],"outperforms":[129],"traditional":[130],"methods":[131],"in":[132,142],"preserving":[133],"geometric":[134],"accuracy":[135],"structure.":[138],"It":[139],"applicable":[141],"fields":[143],"such":[144],"as":[145],"CAD/CAM,":[146],"GIS":[147],"buffer":[148],"zone":[149],"analysis,":[150],"robotic":[152],"path":[153],"planning,":[154],"providing":[155],"unified,":[157],"efficient,":[158],"robust":[160],"solution":[161],"precise":[164],"both":[167],"polygons.":[171]},"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-06-03T00:00:00"}