{"id":"https://openalex.org/W2034127335","doi":"https://doi.org/10.1080/2151237x.2007.10129247","title":"Bidirectional Adaptive \u221a3-Subdivision","display_name":"Bidirectional Adaptive \u221a3-Subdivision","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2034127335","doi":"https://doi.org/10.1080/2151237x.2007.10129247","mag":"2034127335"},"language":"en","primary_location":{"id":"doi:10.1080/2151237x.2007.10129247","is_oa":false,"landing_page_url":"https://doi.org/10.1080/2151237x.2007.10129247","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","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/A5085725455","display_name":"Gerd Su\u00dfner","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gerd Su\u00dfner","raw_affiliation_strings":["University of Erlangen-N\u00fcrnberg","University of Erlangen\u2010N\u00fcrnberg ,"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen\u2010N\u00fcrnberg ,","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053580386","display_name":"Marc Stamminger","orcid":"https://orcid.org/0000-0001-8699-3442"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marc Stamminger","raw_affiliation_strings":["University of Erlangen-N\u00fcrnberg","University of Erlangen\u2010N\u00fcrnberg ,"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen\u2010N\u00fcrnberg ,","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112190688","display_name":"G\u00fcnther Greiner","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G\u00fcnther Greiner","raw_affiliation_strings":["University of Erlangen-N\u00fcrnberg","University of Erlangen\u2010N\u00fcrnberg ,"],"affiliations":[{"raw_affiliation_string":"University of Erlangen-N\u00fcrnberg","institution_ids":["https://openalex.org/I181369854"]},{"raw_affiliation_string":"University of Erlangen\u2010N\u00fcrnberg ,","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085725455"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13013721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"4","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9994000196456909,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.7882398366928101},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.779512882232666},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7551625967025757},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.7483891248703003},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.7122196555137634},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.5976477861404419},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.5469650030136108},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.4879555106163025},{"id":"https://openalex.org/keywords/graphics","display_name":"Graphics","score":0.47921234369277954},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.4679830074310303},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.4402835965156555},{"id":"https://openalex.org/keywords/frame-rate","display_name":"Frame rate","score":0.4345772862434387},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4287257194519043},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4193950593471527},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40929412841796875},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3404800593852997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17541885375976562},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1545015275478363}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.7882398366928101},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.779512882232666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7551625967025757},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.7483891248703003},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.7122196555137634},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.5976477861404419},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.5469650030136108},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.4879555106163025},{"id":"https://openalex.org/C21442007","wikidata":"https://www.wikidata.org/wiki/Q1027879","display_name":"Graphics","level":2,"score":0.47921234369277954},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.4679830074310303},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.4402835965156555},{"id":"https://openalex.org/C3261483","wikidata":"https://www.wikidata.org/wiki/Q119565","display_name":"Frame rate","level":2,"score":0.4345772862434387},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4287257194519043},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4193950593471527},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40929412841796875},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3404800593852997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17541885375976562},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1545015275478363},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/2151237x.2007.10129247","is_oa":false,"landing_page_url":"https://doi.org/10.1080/2151237x.2007.10129247","pdf_url":null,"source":{"id":"https://openalex.org/S4210240212","display_name":"Journal of Graphics Tools","issn_l":"1086-7651","issn":["1086-7651"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graphics Tools","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W27949340","https://openalex.org/W581389087","https://openalex.org/W1590044716","https://openalex.org/W1967005776","https://openalex.org/W1990733988","https://openalex.org/W2005258703","https://openalex.org/W2028576613","https://openalex.org/W2043242530","https://openalex.org/W2052789583","https://openalex.org/W2054935921","https://openalex.org/W2150851531","https://openalex.org/W2236671400","https://openalex.org/W2237825899","https://openalex.org/W2293404936"],"related_works":["https://openalex.org/W2387884585","https://openalex.org/W2365894372","https://openalex.org/W646807382","https://openalex.org/W2078248985","https://openalex.org/W2377450293","https://openalex.org/W2370429828","https://openalex.org/W2415051010","https://openalex.org/W3083116488","https://openalex.org/W2143665433","https://openalex.org/W2393550435"],"abstract_inverted_index":{"Starting":[0],"with":[1,203],"small,":[2],"rough,":[3],"and":[4,15,95,141],"low-detailed":[5],"base":[6,65,159],"models,":[7],"\u221a3-":[8],"subdivision":[9,75],"is":[10,38,76,109,150,163],"able":[11],"to":[12,41,81,112,122],"produce":[13],"smooth":[14],"highly":[16],"accurate":[17],"models":[18],"by":[19,152],"adaptive":[20,74],"subdivision.":[21],"However,":[22],"current":[23,84,104],"smoothing":[24,118],"methods":[25],"are":[26,144],"only":[27],"unidirectional,":[28],"i.e.,":[29,90,107],"a":[30,48,53,60,70,124,172,183,189,193],"mesh":[31,45],"can":[32],"be":[33],"smoothed":[34],"locally,":[35,89],"but":[36],"it":[37],"not":[39],"possible":[40],"adaptively":[42],"coarsen":[43],"the":[44,56,64,83,103,133,158],"again.":[46],"As":[47,182],"consequence,":[49],"for":[50,72,165,175,179],"view-dependent":[51,190],"display,":[52],"change":[54],"of":[55,155,157,171,185,196],"viewing":[57],"parameters":[58],"requires":[59],"complete":[61],"restart":[62],"at":[63,199],"level.":[66],"In":[67],"this":[68],"paper,":[69],"framework":[71,162],"bidirectional":[73],"presented,":[77],"which":[78],"allows":[79,120],"us":[80,121],"adapt":[82],"triangulation":[85,105],"in":[86,132],"both":[87],"directions":[88],"add":[91],"detail":[92,97],"where":[93],"required":[94],"remove":[96],"whenever":[98],"possible.":[99],"It":[100],"operates":[101],"on":[102],"only,":[106],"there":[108],"no":[110],"need":[111],"restore":[113],"any":[114],"previous":[115],"states.":[116],"Our":[117],"process":[119],"keep":[123],"constant":[125],"frame":[126,201],"rate":[127],"within":[128],"every":[129],"single":[130],"step":[131],"refinement":[134],"loop.":[135],"To":[136],"avoid":[137],"popping":[138],"artifacts,":[139],"inserted":[140],"removed":[142],"vertices":[143,156],"\"geomorphed.\"":[145],"Basic":[146],"key-frame":[147],"animation":[148],"support":[149],"provided":[151],"moving":[153],"positions":[154],"mesh.":[160],"The":[161],"suitable":[164],"various":[166],"applications,":[167],"e.g.,":[168],"as":[169],"part":[170],"graphics":[173],"engine":[174],"computer":[176],"games":[177],"or":[178],"character":[180],"modeling.":[181],"proof":[184],"concept,":[186],"we":[187],"implemented":[188],"application,":[191],"rendering":[192],"large":[194],"number":[195],"arbitrary":[197],"meshes":[198],"interactive":[200],"rates":[202],"sufficient":[204],"detail.":[205]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}