{"id":"https://openalex.org/W2011213568","doi":"https://doi.org/10.1137/120874953","title":"Linear Sources for Mesh Generation","display_name":"Linear Sources for Mesh Generation","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2011213568","doi":"https://doi.org/10.1137/120874953","mag":"2011213568"},"language":"en","primary_location":{"id":"doi:10.1137/120874953","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120874953","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5013801843","display_name":"Romain Aubry","orcid":"https://orcid.org/0000-0002-4094-1636"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. Aubry","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047365946","display_name":"Kaan Karamete","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. Karamete","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016786704","display_name":"Eric Mestreau","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E. Mestreau","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043283068","display_name":"Saikat Dey","orcid":"https://orcid.org/0000-0002-5672-7693"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Dey","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030435894","display_name":"Rainald L\u00f6hner","orcid":"https://orcid.org/0000-0003-0083-5131"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. L\u00f6hner","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5013801843"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.5963,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.95136682,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"35","issue":"2","first_page":"A886","last_page":"A907"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9976000189781189,"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":0.9861999750137329,"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/curvature","display_name":"Curvature","score":0.6869950294494629},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.6257137656211853},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5057272911071777},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.5047944784164429},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.48076125979423523},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4787101745605469},{"id":"https://openalex.org/keywords/t-vertices","display_name":"T-vertices","score":0.46181973814964294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45197129249572754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44075462222099304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4371604919433594},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.41458797454833984},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3665454387664795},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3252320885658264},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.2582443356513977},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.09380623698234558}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6869950294494629},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.6257137656211853},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5057272911071777},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.5047944784164429},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.48076125979423523},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4787101745605469},{"id":"https://openalex.org/C160403270","wikidata":"https://www.wikidata.org/wiki/Q7667943","display_name":"T-vertices","level":4,"score":0.46181973814964294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45197129249572754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44075462222099304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4371604919433594},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.41458797454833984},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3665454387664795},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3252320885658264},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.2582443356513977},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.09380623698234558},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120874953","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120874953","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1498194363","https://openalex.org/W1553374977","https://openalex.org/W1968823527","https://openalex.org/W1987076234","https://openalex.org/W1996304390","https://openalex.org/W2001099600","https://openalex.org/W2011387411","https://openalex.org/W2014577800","https://openalex.org/W2014635365","https://openalex.org/W2031003742","https://openalex.org/W2034888915","https://openalex.org/W2046914952","https://openalex.org/W2050209359","https://openalex.org/W2061031014","https://openalex.org/W2098095039","https://openalex.org/W2115396978","https://openalex.org/W2129757752","https://openalex.org/W2156818801","https://openalex.org/W2169528473"],"related_works":["https://openalex.org/W2369809820","https://openalex.org/W2147278394","https://openalex.org/W2187005362","https://openalex.org/W2601611040","https://openalex.org/W2796321288","https://openalex.org/W156011255","https://openalex.org/W2184057547","https://openalex.org/W2108973349","https://openalex.org/W4210950568","https://openalex.org/W1740070153"],"abstract_inverted_index":{"Sources":[0,53],"offer":[1],"a":[2,7,29,48,79,131,171],"convenient":[3],"way":[4],"to":[5,27,41,46,82,97,121,154],"prescribe":[6],"size":[8,24,68],"distribution":[9,69],"in":[10,100,108],"space.":[11],"For":[12],"each":[13],"newly":[14],"created":[15],"mesh":[16,19,38,114,175,185],"point,":[17],"the":[18,22,36,43,67,76,83,86,109,122,127,142,209,214],"generator":[20,186],"queries":[21],"local":[23,49],"distribution,":[25],"either":[26],"create":[28],"new":[30],"point":[31,80],"or":[32,45,63],"element,":[33],"depending":[34],"on":[35],"underlying":[37],"generation":[39,176],"method,":[40],"smooth":[42],"mesh,":[44],"get":[47],"relevant":[50,153],"length":[51],"scale.":[52],"may":[54,118],"have":[55],"different":[56],"shapes":[57],"such":[58,157],"as":[59,91,158,167],"points,":[60],"edges,":[61],"triangles,":[62],"boxes.":[64],"They":[65],"provide":[66],"given":[70],"some":[71],"user":[72,159],"defined":[73,160],"parameters":[74],"and":[75,177,195,211],"distance":[77],"of":[78,111,126,134,145,174,192,213],"location":[81],"source.":[84],"Traditionally,":[85],"source":[87,193,196],"strength":[88],"is":[89,105,141,164],"considered":[90],"constant.":[92],"In":[93],"this":[94,146],"work,":[95,147],"extensions":[96],"linear":[98,150],"sources":[99,151],"space":[101],"are":[102,152,198,204],"proposed.":[103],"It":[104],"shown":[106],"that":[107],"case":[110],"curvature":[112,128,139],"refined":[113],"generation,":[115],"substantial":[116],"savings":[117],"occur":[119],"due":[120],"much":[123],"better":[124],"approximation":[125],"variation":[129],"for":[130],"simple":[132],"modification":[133],"traditional":[135,188],"sources.":[136,161,189],"Even":[137],"though":[138],"refinement":[140],"main":[143],"application":[144],"improvements":[148],"through":[149],"other":[155],"contexts":[156],"The":[162],"technique":[163],"very":[165],"general":[166],"it":[168],"deals":[169],"with":[170,187,201],"fundamental":[172],"aspect":[173],"can":[178],"be":[179],"easily":[180],"incorporated":[181],"into":[182],"an":[183],"existing":[184],"Thorough":[190],"details":[191],"approximations":[194],"filtering":[197],"provided.":[199],"Relations":[200],"lower":[202],"envelopes":[203],"highlighted.":[205],"Practical":[206],"examples":[207],"illustrate":[208],"accuracy":[210],"efficiency":[212],"method.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}