{"id":"https://openalex.org/W3215852925","doi":"https://doi.org/10.1186/s42492-021-00095-9","title":"Typical curve with G1 constraints for curve completion","display_name":"Typical curve with G1 constraints for curve completion","publication_year":2021,"publication_date":"2021-11-26","ids":{"openalex":"https://openalex.org/W3215852925","doi":"https://doi.org/10.1186/s42492-021-00095-9","mag":"3215852925","pmid":"https://pubmed.ncbi.nlm.nih.gov/34825266"},"language":"en","primary_location":{"id":"doi:10.1186/s42492-021-00095-9","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s42492-021-00095-9","pdf_url":"https://vciba.springeropen.com/track/pdf/10.1186/s42492-021-00095-9","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/track/pdf/10.1186/s42492-021-00095-9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100749867","display_name":"Chuanjiang He","orcid":"https://orcid.org/0009-0001-5494-7844"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]},{"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","MO"],"is_corresponding":true,"raw_author_name":"Chuan He","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China","State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, 999078, China","State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, 999078, China","institution_ids":["https://openalex.org/I111950717"]},{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090469219","display_name":"Gang Zhao","orcid":"https://orcid.org/0000-0002-5355-4336"},"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":"Gang Zhao","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China","State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022025247","display_name":"Aizeng Wang","orcid":null},"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":"Aizeng Wang","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China. azwang@buaa.edu.cn","State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China. azwang@buaa.edu.cn","School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China. azwang@buaa.edu.cn","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"State Key Laboratory of Virtual Reality Technology and Systems, Beihang University, Beijing, 100191, China. azwang@buaa.edu.cn","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001052471","display_name":"Fei Hou","orcid":"https://orcid.org/0000-0001-8226-6635"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Hou","raw_affiliation_strings":["State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, 100190, China","State Key Laboratory of Computer Science, Institute of Software, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210128818"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011596136","display_name":"Zhanchuan Cai","orcid":"https://orcid.org/0000-0002-6954-7691"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Zhanchuan Cai","raw_affiliation_strings":["Faculty of Information Technology, Macau University of Science and Technology, Macau, 999078, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Information Technology, Macau University of Science and Technology, Macau, 999078, China","institution_ids":["https://openalex.org/I111950717"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101409323","display_name":"Shaolin Li","orcid":"https://orcid.org/0000-0003-2770-0480"},"institutions":[{"id":"https://openalex.org/I111950717","display_name":"Macau University of Science and Technology","ror":"https://ror.org/03jqs2n27","country_code":"MO","type":"education","lineage":["https://openalex.org/I111950717","https://openalex.org/I4391767947"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Shaolin Li","raw_affiliation_strings":["State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, 999078, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Lunar and Planetary Sciences, Macau University of Science and Technology, Macau, 999078, China","institution_ids":["https://openalex.org/I111950717"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100749867"],"corresponding_institution_ids":["https://openalex.org/I111950717","https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19852188,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"1","first_page":"28","last_page":"28"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9783999919891357,"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"}},{"id":"https://openalex.org/T14270","display_name":"Simulation and Modeling Applications","score":0.9408000111579895,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.8224225044250488},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.7927631735801697},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6263175010681152},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5640984773635864},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5539188981056213},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.5490154027938843},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5163989663124084},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4932629466056824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4717434346675873},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4607776999473572},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4466201066970825},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.43676117062568665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3685106635093689},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3188495934009552},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2333734631538391},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10533386468887329},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.10186010599136353},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08643558621406555}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.8224225044250488},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7927631735801697},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6263175010681152},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5640984773635864},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5539188981056213},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.5490154027938843},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5163989663124084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4932629466056824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4717434346675873},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4607776999473572},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4466201066970825},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.43676117062568665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3685106635093689},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3188495934009552},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2333734631538391},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10533386468887329},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.10186010599136353},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08643558621406555},{"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/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1186/s42492-021-00095-9","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s42492-021-00095-9","pdf_url":"https://vciba.springeropen.com/track/pdf/10.1186/s42492-021-00095-9","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:34825266","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34825266","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:d71cac7b977f481185b6f798cd0aa1a4","is_oa":true,"landing_page_url":"https://doaj.org/article/d71cac7b977f481185b6f798cd0aa1a4","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 4, Iss 1, Pp 1-12 (2021)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:8617089","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8617089","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/s42492-021-00095-9","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s42492-021-00095-9","pdf_url":"https://vciba.springeropen.com/track/pdf/10.1186/s42492-021-00095-9","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":[],"awards":[{"id":"https://openalex.org/G5834280039","display_name":"\u9762\u5411CAD/CAE\u7684T\u6837\u6761\u5b9e\u4f53\u5efa\u6a21\u7406\u8bba\u4e0e\u5e94\u7528\u7814\u7a76","funder_award_id":"61572056","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7088355271","display_name":null,"funder_award_id":"119/2017/A3","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7592230837","display_name":"\u53cc\u8c03\u548cB\u6837\u6761\u7684\u57fa\u7840\u7406\u8bba\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"61872347","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/F4320328853","display_name":"Macau University of Science and Technology","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3215852925.pdf","grobid_xml":"https://content.openalex.org/works/W3215852925.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1554023438","https://openalex.org/W1972116990","https://openalex.org/W1988177720","https://openalex.org/W1993450261","https://openalex.org/W2001817216","https://openalex.org/W2009591982","https://openalex.org/W2009620679","https://openalex.org/W2019976810","https://openalex.org/W2026415323","https://openalex.org/W2027651234","https://openalex.org/W2032370961","https://openalex.org/W2038854446","https://openalex.org/W2043258671","https://openalex.org/W2043595713","https://openalex.org/W2051543572","https://openalex.org/W2055132445","https://openalex.org/W2069437463","https://openalex.org/W2074180148","https://openalex.org/W2080616536","https://openalex.org/W2106353754","https://openalex.org/W2147233762","https://openalex.org/W2155886259","https://openalex.org/W2163266697","https://openalex.org/W2207430418","https://openalex.org/W2469680701","https://openalex.org/W2483119648","https://openalex.org/W2730106710","https://openalex.org/W2754233180","https://openalex.org/W2790113626","https://openalex.org/W2980113311","https://openalex.org/W2987967533","https://openalex.org/W3028318787","https://openalex.org/W3034319145","https://openalex.org/W3081661212","https://openalex.org/W3092246241"],"related_works":["https://openalex.org/W2086054158","https://openalex.org/W1572165570","https://openalex.org/W2291214609","https://openalex.org/W2985206855","https://openalex.org/W2376870483","https://openalex.org/W3183609115","https://openalex.org/W2387056800","https://openalex.org/W2389908107","https://openalex.org/W2354295809","https://openalex.org/W2108850688"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,23,38,46],"novel":[4],"algorithm":[5,42],"for":[6],"planar":[7],"G1":[8,17],"interpolation":[9,18],"using":[10],"typical":[11],"curves":[12],"with":[13,62],"monotonic":[14,65],"curvature.":[15,66],"The":[16,40,50],"problem":[19],"is":[20,37],"converted":[21],"into":[22],"system":[24],"of":[25,53],"nonlinear":[26],"equations":[27],"and":[28,64],"sufficient":[29],"conditions":[30],"are":[31,57],"provided":[32],"to":[33,45],"check":[34],"whether":[35],"there":[36],"solution.":[39],"proposed":[41,55],"was":[43],"applied":[44],"curve":[47],"completion":[48],"task.":[49],"main":[51],"advantages":[52],"the":[54],"method":[56],"its":[58],"simple":[59],"construction,":[60],"compatibility":[61],"NURBS,":[63]},"counts_by_year":[],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}