{"id":"https://openalex.org/W4390145315","doi":"https://doi.org/10.1007/978-3-031-50078-7_1","title":"An Efficient Algorithm for\u00a0Degree Reduction of\u00a0MD-Splines","display_name":"An Efficient Algorithm for\u00a0Degree Reduction of\u00a0MD-Splines","publication_year":2023,"publication_date":"2023-12-23","ids":{"openalex":"https://openalex.org/W4390145315","doi":"https://doi.org/10.1007/978-3-031-50078-7_1"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-50078-7_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-50078-7_1","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/A5109667990","display_name":"Zushang Xiao","orcid":null},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zushang Xiao","raw_affiliation_strings":["School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067575872","display_name":"Wanqiang Shen","orcid":null},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wanqiang Shen","raw_affiliation_strings":["School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Science, Jiangnan University, Wuxi, 214122, Jiangsu, China","institution_ids":["https://openalex.org/I111599522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109667990"],"corresponding_institution_ids":["https://openalex.org/I111599522"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75715155,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"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":1.0,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9776999950408936,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9650999903678894,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/degree","display_name":"Degree (music)","score":0.7587929368019104},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.7246431112289429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6159551739692688},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5820090174674988},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5743495225906372},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5566010475158691},{"id":"https://openalex.org/keywords/degree-of-a-polynomial","display_name":"Degree of a polynomial","score":0.493533730506897},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4268595576286316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3393731117248535},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3232499361038208},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30794447660446167},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0827673077583313}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7587929368019104},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.7246431112289429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6159551739692688},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5820090174674988},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5743495225906372},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5566010475158691},{"id":"https://openalex.org/C25878781","wikidata":"https://www.wikidata.org/wiki/Q1473607","display_name":"Degree of a polynomial","level":3,"score":0.493533730506897},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4268595576286316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3393731117248535},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3232499361038208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30794447660446167},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0827673077583313},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-50078-7_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-50078-7_1","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1973938346","https://openalex.org/W1986633516","https://openalex.org/W1988804338","https://openalex.org/W2001776292","https://openalex.org/W2048549722","https://openalex.org/W2052425187","https://openalex.org/W2055073972","https://openalex.org/W2056453515","https://openalex.org/W2063609208","https://openalex.org/W2073330885","https://openalex.org/W2076235139","https://openalex.org/W2077058943","https://openalex.org/W2094244444","https://openalex.org/W2096574614","https://openalex.org/W2097566357","https://openalex.org/W2103878029","https://openalex.org/W2107232290","https://openalex.org/W2144147547","https://openalex.org/W2144476957","https://openalex.org/W2212181207","https://openalex.org/W2890530785","https://openalex.org/W2963681561","https://openalex.org/W2978806239","https://openalex.org/W2987097654","https://openalex.org/W2995406208","https://openalex.org/W3001160791","https://openalex.org/W3016332489","https://openalex.org/W3035432241","https://openalex.org/W3093708315","https://openalex.org/W3185958250","https://openalex.org/W3214466318","https://openalex.org/W4290794142","https://openalex.org/W4315647533","https://openalex.org/W4376643993","https://openalex.org/W4385236371","https://openalex.org/W4386096852"],"related_works":["https://openalex.org/W2138856444","https://openalex.org/W3121083392","https://openalex.org/W4287394691","https://openalex.org/W4285300817","https://openalex.org/W4213372917","https://openalex.org/W70420423","https://openalex.org/W4225725618","https://openalex.org/W4307330758","https://openalex.org/W4280495132","https://openalex.org/W4200480915"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
