{"id":"https://openalex.org/W4285077644","doi":"https://doi.org/10.1186/s42492-022-00115-2","title":"Improved non-uniform subdivision scheme with modified Eigen-polyhedron","display_name":"Improved non-uniform subdivision scheme with modified Eigen-polyhedron","publication_year":2022,"publication_date":"2022-07-11","ids":{"openalex":"https://openalex.org/W4285077644","doi":"https://doi.org/10.1186/s42492-022-00115-2","pmid":"https://pubmed.ncbi.nlm.nih.gov/35819659"},"language":"en","primary_location":{"id":"doi:10.1186/s42492-022-00115-2","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s42492-022-00115-2","pdf_url":"https://vciba.springeropen.com/counter/pdf/10.1186/s42492-022-00115-2","source":{"id":"https://openalex.org/S3035464634","display_name":"Visual Computing for Industry Biomedicine and Art","issn_l":"2096-496X","issn":["2096-496X","2524-4442"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Visual Computing for Industry, Biomedicine, and Art","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://vciba.springeropen.com/counter/pdf/10.1186/s42492-022-00115-2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100369386","display_name":"Jingjing Zhang","orcid":"https://orcid.org/0000-0002-6196-8694"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingjing Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103074356","display_name":"Yufeng Tian","orcid":"https://orcid.org/0000-0002-7103-8685"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yufeng Tian","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100354007","display_name":"Xin Li","orcid":"https://orcid.org/0000-0003-0477-7098"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xin Li","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China. lixustc@ustc.edu.cn","School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China. lixustc@ustc.edu.cn","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100354007"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06707569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"5","issue":"1","first_page":"18","last_page":"18"},"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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":0.9194931983947754},{"id":"https://openalex.org/keywords/subdivision-surface","display_name":"Subdivision surface","score":0.8635073304176331},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.791832685470581},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6531001329421997},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.5046244859695435},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4972565472126007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47414228320121765},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.469277024269104},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3811826705932617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3779486417770386},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3456963300704956},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3204266130924225},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.23253080248832703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16787907481193542},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05717596411705017}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.9194931983947754},{"id":"https://openalex.org/C199686383","wikidata":"https://www.wikidata.org/wiki/Q1529124","display_name":"Subdivision surface","level":3,"score":0.8635073304176331},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.791832685470581},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6531001329421997},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.5046244859695435},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4972565472126007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47414228320121765},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.469277024269104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3811826705932617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3779486417770386},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3456963300704956},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3204266130924225},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.23253080248832703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16787907481193542},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05717596411705017},{"id":"https://openalex.org/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1186/s42492-022-00115-2","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s42492-022-00115-2","pdf_url":"https://vciba.springeropen.com/counter/pdf/10.1186/s42492-022-00115-2","source":{"id":"https://openalex.org/S3035464634","display_name":"Visual Computing for Industry Biomedicine and Art","issn_l":"2096-496X","issn":["2096-496X","2524-4442"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Visual Computing for Industry, Biomedicine, and Art","raw_type":"journal-article"},{"id":"pmid:35819659","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35819659","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Visual computing for industry, biomedicine, and art","raw_type":null},{"id":"pmh:oai:doaj.org/article:9dd03a8ddff74167853b15547ffde01f","is_oa":true,"landing_page_url":"https://doaj.org/article/9dd03a8ddff74167853b15547ffde01f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Visual Computing for Industry, Biomedicine, and Art, Vol 5, Iss 1, Pp 1-10 (2022)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:9276890","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9276890","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Vis Comput Ind Biomed Art","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1186/s42492-022-00115-2","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s42492-022-00115-2","pdf_url":"https://vciba.springeropen.com/counter/pdf/10.1186/s42492-022-00115-2","source":{"id":"https://openalex.org/S3035464634","display_name":"Visual Computing for Industry Biomedicine and Art","issn_l":"2096-496X","issn":["2096-496X","2524-4442"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Visual Computing for Industry, Biomedicine, and Art","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G4371026006","display_name":null,"funder_award_id":"2020YFB1708900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5252153027","display_name":null,"funder_award_id":"61872328","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6068005113","display_name":null,"funder_award_id":"11801126","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285077644.pdf","grobid_xml":"https://content.openalex.org/works/W4285077644.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W1966495409","https://openalex.org/W1984393693","https://openalex.org/W2014325892","https://openalex.org/W2032325716","https://openalex.org/W2055270817","https://openalex.org/W2065661959","https://openalex.org/W2075492994","https://openalex.org/W2089901604","https://openalex.org/W2091620062","https://openalex.org/W2109034522","https://openalex.org/W2114738470","https://openalex.org/W2122275436","https://openalex.org/W2152484195","https://openalex.org/W2167979983","https://openalex.org/W2168619051","https://openalex.org/W2461354232","https://openalex.org/W2780803485","https://openalex.org/W2943989647","https://openalex.org/W3023040556","https://openalex.org/W3047383940","https://openalex.org/W3118157599","https://openalex.org/W4246806263","https://openalex.org/W4255747408"],"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":{"In":[0],"this":[1],"study,":[2],"a":[3],"systematic":[4],"refinement":[5],"method":[6,27,60],"was":[7],"developed":[8,26],"for":[9,69],"non-uniform":[10,70],"Catmull-Clark":[11],"subdivision":[12,67],"surfaces":[13],"to":[14],"improve":[15],"the":[16,19,29,33,49,52,59,63,66],"quality":[17],"of":[18,51,65],"surface":[20,68],"at":[21],"extraordinary":[22],"points":[23],"(EPs).":[24],"The":[25],"modifies":[28],"eigenpolyhedron":[30],"by":[31],"designing":[32],"angles":[34],"between":[35],"two":[36],"adjacent":[37],"edges":[38],"that":[39,58],"contain":[40],"an":[41],"EP.":[42],"Refinement":[43],"rules":[44],"are":[45],"then":[46],"formulated":[47],"with":[48],"help":[50],"modified":[53],"eigenpolyhedron.":[54],"Numerical":[55],"experiments":[56],"show":[57],"significantly":[61],"improves":[62],"performance":[64],"parameterization.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}