{"id":"https://openalex.org/W2118818634","doi":"https://doi.org/10.1142/s0218195900000243","title":"ANISOTROPIC TRIANGULATION OF PARAMETRIC SURFACES VIA CLOSE PACKING OF ELLIPSOIDS","display_name":"ANISOTROPIC TRIANGULATION OF PARAMETRIC SURFACES VIA CLOSE PACKING OF ELLIPSOIDS","publication_year":2000,"publication_date":"2000-08-01","ids":{"openalex":"https://openalex.org/W2118818634","doi":"https://doi.org/10.1142/s0218195900000243","mag":"2118818634"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195900000243","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195900000243","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/A5101724128","display_name":"Kenji Shimada","orcid":"https://orcid.org/0000-0001-8827-672X"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"KENJI SHIMADA","raw_affiliation_strings":["Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014198464","display_name":"Atsushi Yamada","orcid":"https://orcid.org/0000-0002-0887-0321"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"ATSUSHI YAMADA","raw_affiliation_strings":["IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan","IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan","institution_ids":["https://openalex.org/I4210145865"]},{"raw_affiliation_string":"IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112628493","display_name":"Takayuki Itoh","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"TAKAYUKI ITOH","raw_affiliation_strings":["IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan","IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan","institution_ids":["https://openalex.org/I4210145865"]},{"raw_affiliation_string":"IBM Research, Tokyo Research Laboratory, 1623-14, Shimo-tsuruma, Yamato-shi, Kanagawa-ken 242-8502, Japan#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9554,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.87624309,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"04","first_page":"417","last_page":"440"},"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":0.9951000213623047,"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":0.9897000193595886,"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.8253187537193298},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.7968758344650269},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6542782783508301},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.5969215035438538},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.5832538604736328},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.5695140957832336},{"id":"https://openalex.org/keywords/bowyer\u2013watson-algorithm","display_name":"Bowyer\u2013Watson algorithm","score":0.5389834642410278},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.537788450717926},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.5174106359481812},{"id":"https://openalex.org/keywords/principal-axis-theorem","display_name":"Principal axis theorem","score":0.4972868263721466},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4879855513572693},{"id":"https://openalex.org/keywords/surface-triangulation","display_name":"Surface triangulation","score":0.4672887921333313},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.46511366963386536},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4420916736125946},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.44011932611465454},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.4370957314968109},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3630448579788208},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12966936826705933},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1278892159461975},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.07662263512611389},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.055857717990875244}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.8253187537193298},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.7968758344650269},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6542782783508301},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.5969215035438538},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.5832538604736328},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.5695140957832336},{"id":"https://openalex.org/C121198538","wikidata":"https://www.wikidata.org/wiki/Q4951461","display_name":"Bowyer\u2013Watson algorithm","level":3,"score":0.5389834642410278},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.537788450717926},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.5174106359481812},{"id":"https://openalex.org/C161326058","wikidata":"https://www.wikidata.org/wiki/Q7245073","display_name":"Principal axis theorem","level":2,"score":0.4972868263721466},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4879855513572693},{"id":"https://openalex.org/C50285192","wikidata":"https://www.wikidata.org/wiki/Q15713605","display_name":"Surface triangulation","level":4,"score":0.4672887921333313},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.46511366963386536},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4420916736125946},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.44011932611465454},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.4370957314968109},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3630448579788208},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12966936826705933},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1278892159461975},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.07662263512611389},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.055857717990875244},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218195900000243","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195900000243","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:10.1.1.418.2607","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.418.2607","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.berkeley.edu/~jrs/meshpapers/ShimadaYamadaItoh.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1976305402","https://openalex.org/W2002423590","https://openalex.org/W2008234693","https://openalex.org/W2025328350"],"related_works":["https://openalex.org/W1529719486","https://openalex.org/W2390523194","https://openalex.org/W1883162576","https://openalex.org/W2621757235","https://openalex.org/W1979940344","https://openalex.org/W2396097906","https://openalex.org/W2464707114","https://openalex.org/W2153562369","https://openalex.org/W2370127586","https://openalex.org/W2118818634"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,13,21,26,32,56,75,80,98],"new":[4,37],"computational":[5],"method":[6,96],"of":[7,12,64,90],"fully":[8],"automated":[9],"anisotropic":[10,34,71,100],"triangulation":[11,73],"trimmed":[14],"parametric":[15],"surface.":[16],"Given":[17],"as":[18],"input:":[19],"(1)":[20],"domain":[22,45],"geometry":[23],"and":[24,54,87],"(2)":[25],"3\u00d73":[27],"tensor":[28,82,109],"field":[29,83],"that":[30],"specifies":[31],"desired":[33],"node-spacing,":[35],"this":[36],"approach":[38],"first":[39],"packs":[40],"ellipsoids":[41,53,66],"closely":[42],"in":[43],"the":[44,52,65,85,88,91,95,107],"by":[46,70],"defining":[47],"proximity-based":[48],"interacting":[49],"forces":[50],"among":[51],"finding":[55],"force-balancing":[57],"configuration":[58],"using":[59],"dynamic":[60],"simulation.":[61],"The":[62],"centers":[63],"are":[67],"then":[68],"connected":[69],"Delaunay":[72],"for":[74],"complete":[76],"mesh":[77,101],"topology.":[78],"Since":[79],"specified":[81],"controls":[84],"directions":[86],"lengths":[89],"ellipsoids'":[92],"principal":[93],"axes,":[94],"generates":[97],"graded":[99],"whose":[102],"elements":[103],"conform":[104],"precisely":[105],"to":[106],"given":[108],"field.":[110]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
