{"id":"https://openalex.org/W1963574068","doi":"https://doi.org/10.1007/s10208-007-9008-7","title":"Meshfree Thinning of 3D\u00a0Point Clouds","display_name":"Meshfree Thinning of 3D\u00a0Point Clouds","publication_year":2007,"publication_date":"2007-11-23","ids":{"openalex":"https://openalex.org/W1963574068","doi":"https://doi.org/10.1007/s10208-007-9008-7","mag":"1963574068"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-007-9008-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-007-9008-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Meshfree_thinning_of_3d_point_clouds/23358404","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008364994","display_name":"Nira Dyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Nira Dyn","raw_affiliation_strings":["Department of Mathematics, Tel-Aviv University, Tel-Aviv, Israel","Tel Aviv University , Department of Mathematics , Tel-Aviv , Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tel-Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University , Department of Mathematics , Tel-Aviv , Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028418165","display_name":"Armin Iske","orcid":"https://orcid.org/0000-0003-1743-5484"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Armin Iske","raw_affiliation_strings":["Department of Mathematics, University of Hamburg, 20146, Hamburg, Germany","University of Hamburg, Department of Mathematics, 20146 Hamburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Hamburg, 20146, Hamburg, Germany","institution_ids":["https://openalex.org/I159176309"]},{"raw_affiliation_string":"University of Hamburg, Department of Mathematics, 20146 Hamburg, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066096555","display_name":"Holger Wendland","orcid":"https://orcid.org/0000-0002-9614-5321"},"institutions":[{"id":"https://openalex.org/I162608824","display_name":"University of Sussex","ror":"https://ror.org/00ayhx656","country_code":"GB","type":"education","lineage":["https://openalex.org/I162608824"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Holger Wendland","raw_affiliation_strings":["Department of Mathematics, University of Sussex, Brighton, UK","University of Sussex, Department of Mathematics, 20146, Brighton, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Sussex, Brighton, UK","institution_ids":["https://openalex.org/I162608824"]},{"raw_affiliation_string":"University of Sussex, Department of Mathematics, 20146, Brighton, UK#TAB#","institution_ids":["https://openalex.org/I162608824"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008364994"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9915,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.8960348,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"4","first_page":"409","last_page":"425"},"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9998000264167786,"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":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7388759851455688},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.6454604268074036},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.6137202382087708},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.5781099796295166},{"id":"https://openalex.org/keywords/thinning","display_name":"Thinning","score":0.5726838111877441},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.5583368539810181},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5424628257751465},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.48617666959762573},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4699537754058838},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.4695741832256317},{"id":"https://openalex.org/keywords/meshfree-methods","display_name":"Meshfree methods","score":0.4510735869407654},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4358283579349518},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3437035083770752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17747247219085693},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.15150615572929382},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14733722805976868}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7388759851455688},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.6454604268074036},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.6137202382087708},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.5781099796295166},{"id":"https://openalex.org/C2781353100","wikidata":"https://www.wikidata.org/wiki/Q1266974","display_name":"Thinning","level":2,"score":0.5726838111877441},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.5583368539810181},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5424628257751465},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.48617666959762573},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4699537754058838},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.4695741832256317},{"id":"https://openalex.org/C162835735","wikidata":"https://www.wikidata.org/wiki/Q14866890","display_name":"Meshfree methods","level":3,"score":0.4510735869407654},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4358283579349518},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3437035083770752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17747247219085693},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.15150615572929382},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14733722805976868},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10208-007-9008-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-007-9008-7","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/23358404","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Meshfree_thinning_of_3d_point_clouds/23358404","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/23358404","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Meshfree_thinning_of_3d_point_clouds/23358404","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","score":0.7599999904632568,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W374930422","https://openalex.org/W1486164486","https://openalex.org/W1561797603","https://openalex.org/W1581166262","https://openalex.org/W1585247684","https://openalex.org/W1587649667","https://openalex.org/W1589534817","https://openalex.org/W1599059651","https://openalex.org/W1978352654","https://openalex.org/W1985747932","https://openalex.org/W1988473367","https://openalex.org/W2012876210","https://openalex.org/W2042396553","https://openalex.org/W2052749348","https://openalex.org/W2070330278","https://openalex.org/W2100816864","https://openalex.org/W2106095534","https://openalex.org/W2107699930","https://openalex.org/W2127689830","https://openalex.org/W2128012088","https://openalex.org/W2130859329","https://openalex.org/W2133493855","https://openalex.org/W2137531922","https://openalex.org/W2146766088","https://openalex.org/W2156849739","https://openalex.org/W2161591817","https://openalex.org/W2165017100","https://openalex.org/W2235901111","https://openalex.org/W2479395228","https://openalex.org/W2497330812","https://openalex.org/W2503709059","https://openalex.org/W2911967907","https://openalex.org/W2915054978","https://openalex.org/W2917610449","https://openalex.org/W3145128584","https://openalex.org/W3146210588","https://openalex.org/W4210727445","https://openalex.org/W4251512373"],"related_works":["https://openalex.org/W2084120563","https://openalex.org/W2140171609","https://openalex.org/W2382174623","https://openalex.org/W1991688655","https://openalex.org/W2801875094","https://openalex.org/W2126147105","https://openalex.org/W1568297584","https://openalex.org/W2058788502","https://openalex.org/W2019409665","https://openalex.org/W2259491480"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}