{"id":"https://openalex.org/W2510206079","doi":"https://doi.org/10.5220/0005959801650171","title":"Local Point Control of a New Rational Quartic Interpolating Spline","display_name":"Local Point Control of a New Rational Quartic Interpolating Spline","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2510206079","doi":"https://doi.org/10.5220/0005959801650171","mag":"2510206079"},"language":"en","primary_location":{"id":"doi:10.5220/0005959801650171","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0005959801650171","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications","raw_type":"proceedings-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/A5022769085","display_name":"Liu Zhi","orcid":"https://orcid.org/0000-0002-8301-5894"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi Liu","raw_affiliation_strings":["Hefei University of Technology, China"],"affiliations":[{"raw_affiliation_string":"Hefei University of Technology, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083982835","display_name":"Kai Xiao","orcid":"https://orcid.org/0000-0002-7255-522X"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Xiao","raw_affiliation_strings":["Hefei University of Technology, China"],"affiliations":[{"raw_affiliation_string":"Hefei University of Technology, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100324656","display_name":"Xiaoyan Liu","orcid":"https://orcid.org/0000-0002-9341-5795"},"institutions":[{"id":"https://openalex.org/I708430","display_name":"University of La Verne","ror":"https://ror.org/02kg81z20","country_code":"US","type":"education","lineage":["https://openalex.org/I708430"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoyan Liu","raw_affiliation_strings":["University of La Verne, United States"],"affiliations":[{"raw_affiliation_string":"University of La Verne, United States","institution_ids":["https://openalex.org/I708430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018283565","display_name":"Ping Jiang","orcid":"https://orcid.org/0000-0001-8448-2876"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Jiang","raw_affiliation_strings":["Hefei University of Technology, China"],"affiliations":[{"raw_affiliation_string":"Hefei University of Technology, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022769085"],"corresponding_institution_ids":["https://openalex.org/I16365422"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07463377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"165","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9334999918937683,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.891205906867981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.67873615026474},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.6680018305778503},{"id":"https://openalex.org/keywords/quartic-surface","display_name":"Quartic surface","score":0.6486667394638062},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6242467761039734},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.6140525341033936},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5180454254150391},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4953709840774536},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.45236819982528687},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4505850672721863},{"id":"https://openalex.org/keywords/thin-plate-spline","display_name":"Thin plate spline","score":0.4424428939819336},{"id":"https://openalex.org/keywords/control-point","display_name":"Control point","score":0.4420434534549713},{"id":"https://openalex.org/keywords/hermite-spline","display_name":"Hermite spline","score":0.4142947494983673},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34825563430786133},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3376777470111847},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28543341159820557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24174854159355164},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.17047074437141418},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1564408838748932},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07251232862472534},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06467553973197937},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06168103218078613}],"concepts":[{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.891205906867981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.67873615026474},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.6680018305778503},{"id":"https://openalex.org/C117139701","wikidata":"https://www.wikidata.org/wiki/Q7269363","display_name":"Quartic surface","level":3,"score":0.6486667394638062},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6242467761039734},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.6140525341033936},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5180454254150391},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4953709840774536},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.45236819982528687},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4505850672721863},{"id":"https://openalex.org/C93132110","wikidata":"https://www.wikidata.org/wiki/Q7784288","display_name":"Thin plate spline","level":4,"score":0.4424428939819336},{"id":"https://openalex.org/C2777774050","wikidata":"https://www.wikidata.org/wiki/Q16945110","display_name":"Control point","level":2,"score":0.4420434534549713},{"id":"https://openalex.org/C186763157","wikidata":"https://www.wikidata.org/wiki/Q5741918","display_name":"Hermite spline","level":5,"score":0.4142947494983673},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34825563430786133},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3376777470111847},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28543341159820557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24174854159355164},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.17047074437141418},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1564408838748932},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07251232862472534},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06467553973197937},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06168103218078613},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"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:10.5220/0005959801650171","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0005959801650171","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2318458717","https://openalex.org/W2037532746","https://openalex.org/W2102842245","https://openalex.org/W2117487173","https://openalex.org/W2021080833","https://openalex.org/W2106020793","https://openalex.org/W1975728046","https://openalex.org/W1125029139","https://openalex.org/W4307168714","https://openalex.org/W2139227081"],"abstract_inverted_index":{"A":[0],"new":[1],"rational":[2,13,32,47],"quartic":[3,14,33,48],"interpolating":[4,15,34,72],"spline":[5,16,35,50],"based":[6],"on":[7],"function":[8],"values":[9],"is":[10,60],"constructed.":[11],"The":[12,25,54],"curves":[17,36],"have":[18],"simple":[19],"and":[20,29,42],"explicit":[21],"representation":[22],"with":[23],"parameters.":[24],"monotonicity-preserving,":[26],"C2":[27],"continuity":[28],"boundedness":[30],"of":[31,46,56,71],"are":[37,51],"confirmed.":[38],"Function":[39],"value":[40,44],"control":[41,45,58],"derivative":[43],"interpolation":[49],"given":[52],"respectively.":[53],"advantage":[55],"these":[57],"methods":[59],"that":[61],"they":[62],"can":[63],"be":[64],"applied":[65],"to":[66,80],"modifying":[67],"the":[68,81],"local":[69],"shape":[70],"curve":[73],"only":[74],"by":[75],"selecting":[76],"suitable":[77],"parameters":[78],"according":[79],"practical":[82],"requirements.":[83]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}