{"id":"https://openalex.org/W263346909","doi":"https://doi.org/10.1007/978-3-662-44199-2_41","title":"Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods","display_name":"Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W263346909","doi":"https://doi.org/10.1007/978-3-662-44199-2_41","mag":"263346909"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-44199-2_41","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-44199-2_41","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/A5103067429","display_name":"Zhiwang Gan","orcid":"https://orcid.org/0000-0003-2865-7234"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiwang Gan","raw_affiliation_strings":["School of Mathematics and System Science, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006219919","display_name":"Meng Zhou","orcid":"https://orcid.org/0000-0001-6485-8995"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Zhou","raw_affiliation_strings":["School of Mathematics and System Science, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and System Science, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103067429"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3026,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.87746897,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"261","last_page":"268"},"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12549","display_name":"Image and Object Detection Techniques","score":0.994700014591217,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.8705990314483643},{"id":"https://openalex.org/keywords/orthographic-projection","display_name":"Orthographic projection","score":0.718075156211853},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.703877329826355},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6439810991287231},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5999482870101929},{"id":"https://openalex.org/keywords/parametric-surface","display_name":"Parametric surface","score":0.5966672897338867},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5523473024368286},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.5367110967636108},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5009157657623291},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48721426725387573},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.43772703409194946},{"id":"https://openalex.org/keywords/rational-surface","display_name":"Rational surface","score":0.415860652923584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34716764092445374},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34118348360061646},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34050533175468445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32288119196891785},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21539974212646484},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.187819242477417},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1522749960422516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13388574123382568}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8705990314483643},{"id":"https://openalex.org/C175694140","wikidata":"https://www.wikidata.org/wiki/Q980329","display_name":"Orthographic projection","level":2,"score":0.718075156211853},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.703877329826355},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6439810991287231},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5999482870101929},{"id":"https://openalex.org/C2187777","wikidata":"https://www.wikidata.org/wiki/Q1071743","display_name":"Parametric surface","level":3,"score":0.5966672897338867},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5523473024368286},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.5367110967636108},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5009157657623291},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48721426725387573},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.43772703409194946},{"id":"https://openalex.org/C2777979628","wikidata":"https://www.wikidata.org/wiki/Q208756","display_name":"Rational surface","level":3,"score":0.415860652923584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34716764092445374},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34118348360061646},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34050533175468445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32288119196891785},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21539974212646484},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.187819242477417},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1522749960422516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13388574123382568},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-44199-2_41","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-44199-2_41","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":24,"referenced_works":["https://openalex.org/W1489363541","https://openalex.org/W1518341038","https://openalex.org/W1534696846","https://openalex.org/W1548879090","https://openalex.org/W1965851114","https://openalex.org/W1972160416","https://openalex.org/W1987017430","https://openalex.org/W1998780541","https://openalex.org/W2016361136","https://openalex.org/W2026024895","https://openalex.org/W2031245794","https://openalex.org/W2032282448","https://openalex.org/W2035149961","https://openalex.org/W2043254790","https://openalex.org/W2061979517","https://openalex.org/W2089358519","https://openalex.org/W2104845659","https://openalex.org/W2130825887","https://openalex.org/W2139870758","https://openalex.org/W2166316739","https://openalex.org/W2486111772","https://openalex.org/W2612686320","https://openalex.org/W4205227699","https://openalex.org/W4234682643"],"related_works":["https://openalex.org/W2026959341","https://openalex.org/W1968881099","https://openalex.org/W2010636443","https://openalex.org/W2115463023","https://openalex.org/W2350142587","https://openalex.org/W2114788602","https://openalex.org/W2364358617","https://openalex.org/W2117849070","https://openalex.org/W1978015690","https://openalex.org/W2375011831"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
