{"id":"https://openalex.org/W2122901063","doi":"https://doi.org/10.1142/s0218195908002672","title":"VORONOI DIAGRAM OF A POLYGON IN CHESSBOARD METRIC AND MASKLESS LITHOGRAPHIC APPLICATIONS","display_name":"VORONOI DIAGRAM OF A POLYGON IN CHESSBOARD METRIC AND MASKLESS LITHOGRAPHIC APPLICATIONS","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2122901063","doi":"https://doi.org/10.1142/s0218195908002672","mag":"2122901063"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195908002672","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195908002672","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","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/A5064587334","display_name":"Hayong Shin","orcid":"https://orcid.org/0000-0002-5161-661X"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"HAYONG SHIN","raw_affiliation_strings":["Department of Industrial Engineering, KAIST, 373-1 Gueseong-dong, Yseong-gu, Daejeon, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, KAIST, 373-1 Gueseong-dong, Yseong-gu, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021110559","display_name":"Seyoun Park","orcid":"https://orcid.org/0000-0002-6987-9362"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"SEYOUN PARK","raw_affiliation_strings":["Department of Industrial Engineering, KAIST, 373-1 Gueseong-dong, Yseong-gu, Daejeon, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, KAIST, 373-1 Gueseong-dong, Yseong-gu, Daejeon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000540359","display_name":"Eonjin Park","orcid":null},"institutions":[{"id":"https://openalex.org/I59502557","display_name":"Korea Air Force Academy","ror":"https://ror.org/03zjevq63","country_code":"KR","type":"government","lineage":["https://openalex.org/I59502557"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"EONJIN PARK","raw_affiliation_strings":["Maintenance Planning Department, Korean Air, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Maintenance Planning Department, Korean Air, Seoul, South Korea","institution_ids":["https://openalex.org/I59502557"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076077099","display_name":"Deok\u2010Soo Kim","orcid":"https://orcid.org/0000-0001-7855-2604"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"DEOK-SOO KIM","raw_affiliation_strings":["Department of Industrial Engineering, Hanyang University, Seoul, South Korea","(Department of Industrial Engineering, Hanyang University, Seoul, South Korea)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Hanyang University, Seoul, South Korea","institution_ids":["https://openalex.org/I4575257"]},{"raw_affiliation_string":"(Department of Industrial Engineering, Hanyang University, Seoul, South Korea)","institution_ids":["https://openalex.org/I4575257"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7448,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82880949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"04","first_page":"357","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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":0.9990000128746033,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9980999827384949,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.996399998664856,"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/voronoi-diagram","display_name":"Voronoi diagram","score":0.7382575869560242},{"id":"https://openalex.org/keywords/photomask","display_name":"Photomask","score":0.7020922303199768},{"id":"https://openalex.org/keywords/lithography","display_name":"Lithography","score":0.6798129677772522},{"id":"https://openalex.org/keywords/maskless-lithography","display_name":"Maskless lithography","score":0.640682578086853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5373010039329529},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5066409707069397},{"id":"https://openalex.org/keywords/centroidal-voronoi-tessellation","display_name":"Centroidal Voronoi tessellation","score":0.45406362414360046},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3844272792339325},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.2761536240577698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21592837572097778},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2057914137840271},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17423304915428162},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15334302186965942},{"id":"https://openalex.org/keywords/electron-beam-lithography","display_name":"Electron-beam lithography","score":0.14460968971252441},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.12597337365150452},{"id":"https://openalex.org/keywords/resist","display_name":"Resist","score":0.09324219822883606}],"concepts":[{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.7382575869560242},{"id":"https://openalex.org/C14737013","wikidata":"https://www.wikidata.org/wiki/Q1319657","display_name":"Photomask","level":4,"score":0.7020922303199768},{"id":"https://openalex.org/C204223013","wikidata":"https://www.wikidata.org/wiki/Q133036","display_name":"Lithography","level":2,"score":0.6798129677772522},{"id":"https://openalex.org/C137905882","wikidata":"https://www.wikidata.org/wiki/Q6783445","display_name":"Maskless lithography","level":5,"score":0.640682578086853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5373010039329529},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5066409707069397},{"id":"https://openalex.org/C205672865","wikidata":"https://www.wikidata.org/wiki/Q5062961","display_name":"Centroidal Voronoi tessellation","level":3,"score":0.45406362414360046},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3844272792339325},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2761536240577698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21592837572097778},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2057914137840271},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17423304915428162},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15334302186965942},{"id":"https://openalex.org/C200274948","wikidata":"https://www.wikidata.org/wiki/Q256845","display_name":"Electron-beam lithography","level":4,"score":0.14460968971252441},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.12597337365150452},{"id":"https://openalex.org/C53524968","wikidata":"https://www.wikidata.org/wiki/Q7315582","display_name":"Resist","level":3,"score":0.09324219822883606},{"id":"https://openalex.org/C2779227376","wikidata":"https://www.wikidata.org/wiki/Q6505497","display_name":"Layer (electronics)","level":2,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218195908002672","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195908002672","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computational Geometry &amp; Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.136.3972","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.3972","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ieserver4.kaist.ac.kr/publication/intconference/vd of a polygon.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1490741530","https://openalex.org/W1887122289","https://openalex.org/W1967005434","https://openalex.org/W1984675753","https://openalex.org/W1993391455","https://openalex.org/W2008204797","https://openalex.org/W2017176363","https://openalex.org/W2018913045","https://openalex.org/W2051398232","https://openalex.org/W2070592718","https://openalex.org/W2094233695","https://openalex.org/W2153234773"],"related_works":["https://openalex.org/W2059217232","https://openalex.org/W1992160534","https://openalex.org/W2371724110","https://openalex.org/W1930867958","https://openalex.org/W1995318580","https://openalex.org/W2041214247","https://openalex.org/W2133344964","https://openalex.org/W4206423751","https://openalex.org/W2150727083","https://openalex.org/W2115322984"],"abstract_inverted_index":{"Lithography":[0],"using":[1,116],"photomasks":[2],"has":[3,80],"been":[4],"the":[5,20,31,35,53,101,158,164],"major":[6],"workhorse":[7],"in":[8,65,98,123,138],"manufacturing":[9],"printed":[10],"circuit":[11],"boards,":[12],"semiconductors,":[13],"and":[14,51,92,119,128,163],"flat":[15],"panel":[16],"display":[17],"devices.":[18],"However,":[19],"cost":[21],"of":[22,55,60,71,77,100,131,134,160,167],"photomask":[23,161],"is":[24,38,46,90,148],"so":[25],"high":[26,69],"that":[27],"it":[28],"often":[29],"becomes":[30,59],"bottleneck,":[32],"especially":[33],"when":[34],"production":[36],"volume":[37],"low.":[39],"For":[40],"this":[41,78,105],"reason,":[42],"maskless":[43],"lithography":[44,57,72,113,144],"technology":[45],"recently":[47],"gaining":[48],"more":[49],"attention,":[50],"hence,":[52],"computation":[54],"efficient":[56,112],"path":[58,114,145],"greater":[61],"importance":[62],"than":[63],"ever":[64],"order":[66],"to":[67,111,157],"obtain":[68],"throughput":[70],"process.":[73],"The":[74,126,150],"target":[75],"machine":[76],"paper":[79],"a":[81,88,93,135,168],"numerically":[82],"controlled":[83],"XY":[84],"table":[85],"on":[86],"which":[87],"substrate":[89],"located":[91],"variable":[94],"size":[95],"(square-shape)":[96],"aperture":[97],"front":[99],"light":[102],"source.":[103],"In":[104],"paper,":[106],"we":[107],"present":[108],"an":[109],"approach":[110],"generation":[115,146],"Voronoi":[117,132],"diagram":[118,133],"medial":[120],"axis":[121],"transform":[122],"chessboard":[124,139],"metric.":[125],"properties":[127],"construction":[129],"method":[130],"polygonal":[136],"object":[137],"metric":[140],"are":[141],"examined.":[142],"Then,":[143],"scheme":[147],"explained.":[149],"proposed":[151],"idea":[152],"can":[153],"also":[154],"be":[155],"applied":[156],"fabrication":[159],"itself":[162],"rapid":[165],"prototyping":[166],"3D":[169],"model":[170],"via":[171],"layered":[172],"lithography.":[173]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
