{"id":"https://openalex.org/W2294244856","doi":"https://doi.org/10.1007/978-3-319-21404-7_37","title":"A Novel Approach to the Weighted Laplacian Formulation Applied to 2D Delaunay Triangulations","display_name":"A Novel Approach to the Weighted Laplacian Formulation Applied to 2D Delaunay Triangulations","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2294244856","doi":"https://doi.org/10.1007/978-3-319-21404-7_37","mag":"2294244856"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-21404-7_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21404-7_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5081290212","display_name":"Sanderson L. Gonzaga de Oliveira","orcid":"https://orcid.org/0000-0003-4863-542X"},"institutions":[{"id":"https://openalex.org/I1315085146","display_name":"Universidade Federal de Lavras","ror":"https://ror.org/0122bmm03","country_code":"BR","type":"education","lineage":["https://openalex.org/I1315085146"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Sanderson L. Gonzaga de Oliveira","raw_affiliation_strings":["Universidade Federal de Lavras, Lavras, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Lavras, Lavras, MG, Brazil","institution_ids":["https://openalex.org/I1315085146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057639095","display_name":"Frederico Santos de Oliveira","orcid":"https://orcid.org/0000-0002-5885-6747"},"institutions":[{"id":"https://openalex.org/I1315085146","display_name":"Universidade Federal de Lavras","ror":"https://ror.org/0122bmm03","country_code":"BR","type":"education","lineage":["https://openalex.org/I1315085146"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Frederico Santos de Oliveira","raw_affiliation_strings":["Universidade Federal de Lavras, Lavras, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Lavras, Lavras, MG, Brazil","institution_ids":["https://openalex.org/I1315085146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042659253","display_name":"Guilherme Oliveira Chagas","orcid":"https://orcid.org/0000-0003-4803-3429"},"institutions":[{"id":"https://openalex.org/I1315085146","display_name":"Universidade Federal de Lavras","ror":"https://ror.org/0122bmm03","country_code":"BR","type":"education","lineage":["https://openalex.org/I1315085146"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Guilherme Oliveira Chagas","raw_affiliation_strings":["Universidade Federal de Lavras, Lavras, MG, Brazil"],"affiliations":[{"raw_affiliation_string":"Universidade Federal de Lavras, Lavras, MG, Brazil","institution_ids":["https://openalex.org/I1315085146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081290212"],"corresponding_institution_ids":["https://openalex.org/I1315085146"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.6274,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.96088435,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"502","last_page":"515"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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":0.9993000030517578,"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/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9843000173568726,"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/laplacian-smoothing","display_name":"Laplacian smoothing","score":0.7878313064575195},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.7740198373794556},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.6677985191345215},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.592139482498169},{"id":"https://openalex.org/keywords/constrained-delaunay-triangulation","display_name":"Constrained Delaunay triangulation","score":0.5869705080986023},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5377969741821289},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.505495548248291},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.497499018907547},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4268544018268585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42589879035949707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37841176986694336},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33951085805892944},{"id":"https://openalex.org/keywords/mesh-generation","display_name":"Mesh generation","score":0.2762172818183899},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.22961515188217163},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1294490396976471},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11982089281082153},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0958206057548523}],"concepts":[{"id":"https://openalex.org/C100695618","wikidata":"https://www.wikidata.org/wiki/Q6488267","display_name":"Laplacian smoothing","level":4,"score":0.7878313064575195},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.7740198373794556},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.6677985191345215},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.592139482498169},{"id":"https://openalex.org/C128321387","wikidata":"https://www.wikidata.org/wiki/Q5164356","display_name":"Constrained Delaunay triangulation","level":3,"score":0.5869705080986023},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5377969741821289},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.505495548248291},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.497499018907547},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4268544018268585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42589879035949707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37841176986694336},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33951085805892944},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.2762172818183899},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.22961515188217163},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1294490396976471},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11982089281082153},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0958206057548523},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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:10.1007/978-3-319-21404-7_37","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-21404-7_37","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W105410060","https://openalex.org/W118271839","https://openalex.org/W1500046813","https://openalex.org/W1520127302","https://openalex.org/W1542085343","https://openalex.org/W1938796541","https://openalex.org/W1967337063","https://openalex.org/W1969742554","https://openalex.org/W1973509809","https://openalex.org/W1982483258","https://openalex.org/W1996121616","https://openalex.org/W2012229545","https://openalex.org/W2079017595","https://openalex.org/W2117366131","https://openalex.org/W2135053679","https://openalex.org/W2143767611","https://openalex.org/W2148952796","https://openalex.org/W2237825899","https://openalex.org/W2316564661"],"related_works":["https://openalex.org/W2385297469","https://openalex.org/W1481755670","https://openalex.org/W2374047534","https://openalex.org/W2001351033","https://openalex.org/W2347819474","https://openalex.org/W2381889232","https://openalex.org/W2354869996","https://openalex.org/W2358109229","https://openalex.org/W2371448287","https://openalex.org/W2206755844"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}