{"id":"https://openalex.org/W3192920100","doi":"https://doi.org/10.1007/s00371-021-02213-3","title":"Variational progressive-iterative approximation for RBF-based surface reconstruction","display_name":"Variational progressive-iterative approximation for RBF-based surface reconstruction","publication_year":2021,"publication_date":"2021-07-31","ids":{"openalex":"https://openalex.org/W3192920100","doi":"https://doi.org/10.1007/s00371-021-02213-3","mag":"3192920100"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-021-02213-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-021-02213-3","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"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":"The Visual Computer","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/A5100755583","display_name":"Shengjun Liu","orcid":"https://orcid.org/0000-0002-3222-5656"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengjun Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100601873","display_name":"Tao Liu","orcid":"https://orcid.org/0000-0003-1016-4191"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0003-1016-4191","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068611736","display_name":"Ling Hu","orcid":"https://orcid.org/0000-0002-9184-2523"},"institutions":[{"id":"https://openalex.org/I916048824","display_name":"Hunan First Normal University","ror":"https://ror.org/00s9d1a36","country_code":"CN","type":"education","lineage":["https://openalex.org/I916048824"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Hu","raw_affiliation_strings":["School of Mathematics and Computer Science, Hunan First Normal University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Hunan First Normal University, Changsha, China","institution_ids":["https://openalex.org/I916048824"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076861550","display_name":"Yuanyuan Shang","orcid":"https://orcid.org/0000-0003-2466-5720"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanyuan Shang","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063776568","display_name":"Xinru Liu","orcid":"https://orcid.org/0000-0001-5427-0178"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinru Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063776568"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3807,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78211022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"37","issue":"9-11","first_page":"2485","last_page":"2497"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9991999864578247,"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":0.9965999722480774,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6110454201698303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5987093448638916},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5665687322616577},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4967558979988098},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.4703393578529358},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44975653290748596},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.445316344499588},{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.41972461342811584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3913675546646118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32076144218444824},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2228081226348877},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.182527095079422}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6110454201698303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5987093448638916},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5665687322616577},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4967558979988098},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.4703393578529358},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44975653290748596},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.445316344499588},{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.41972461342811584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3913675546646118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32076144218444824},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2228081226348877},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.182527095079422},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00371-021-02213-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-021-02213-3","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"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":"The Visual Computer","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":38,"referenced_works":["https://openalex.org/W26719245","https://openalex.org/W78717597","https://openalex.org/W582625930","https://openalex.org/W1486164486","https://openalex.org/W1844997853","https://openalex.org/W1973938346","https://openalex.org/W1977758817","https://openalex.org/W1983718649","https://openalex.org/W1986796666","https://openalex.org/W1987985833","https://openalex.org/W1992642990","https://openalex.org/W2003238405","https://openalex.org/W2008073424","https://openalex.org/W2012733877","https://openalex.org/W2013316387","https://openalex.org/W2022204099","https://openalex.org/W2028676575","https://openalex.org/W2039273090","https://openalex.org/W2039594111","https://openalex.org/W2046920859","https://openalex.org/W2053191221","https://openalex.org/W2053825465","https://openalex.org/W2063896895","https://openalex.org/W2090886006","https://openalex.org/W2099953968","https://openalex.org/W2170167721","https://openalex.org/W2229412420","https://openalex.org/W2237767100","https://openalex.org/W2266946488","https://openalex.org/W2346663740","https://openalex.org/W2366389387","https://openalex.org/W2632143609","https://openalex.org/W2904982147","https://openalex.org/W2998100778","https://openalex.org/W3002527007","https://openalex.org/W4233857083","https://openalex.org/W4249413533","https://openalex.org/W4291236916"],"related_works":["https://openalex.org/W1657880117","https://openalex.org/W2595172197","https://openalex.org/W2127970246","https://openalex.org/W2084856301","https://openalex.org/W1001352512","https://openalex.org/W4382618745","https://openalex.org/W2885125400","https://openalex.org/W1989889224","https://openalex.org/W1230139712","https://openalex.org/W2980404785"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}