{"id":"https://openalex.org/W2155400345","doi":"https://doi.org/10.1007/s10898-006-9124-y","title":"Geometric dual formulation for first-derivative-based univariate cubic L 1 splines","display_name":"Geometric dual formulation for first-derivative-based univariate cubic L 1 splines","publication_year":2007,"publication_date":"2007-01-09","ids":{"openalex":"https://openalex.org/W2155400345","doi":"https://doi.org/10.1007/s10898-006-9124-y","mag":"2155400345"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-006-9124-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9124-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-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/A5055572881","display_name":"Yonghua Zhao","orcid":"https://orcid.org/0000-0001-7437-5911"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Y. B. Zhao","raw_affiliation_strings":["Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100080, China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences, Beijing, 100080, China","institution_ids":["https://openalex.org/I19820366"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027860626","display_name":"Shu\u2010Cherng Fang","orcid":"https://orcid.org/0000-0001-5087-3262"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]},{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"S.-C. Fang","raw_affiliation_strings":["Departments of Mathematical Sciences and Industrial Engineering, Tsinghua University, Beijing, China","Industrial Engineering and Operations Research, North Carolina State University, Raleigh, NC, 27695-7906, USA"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematical Sciences and Industrial Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Industrial Engineering and Operations Research, North Carolina State University, Raleigh, NC, 27695-7906, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042290882","display_name":"John E. Lavery","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. E. Lavery","raw_affiliation_strings":["Mathematics Division, Army Research Office, Army Research Laboratory, Research Triangle Park, NC, 27709-2211, USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Division, Army Research Office, Army Research Laboratory, Research Triangle Park, NC, 27709-2211, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5027860626","https://openalex.org/A5042290882","https://openalex.org/A5055572881"],"corresponding_institution_ids":["https://openalex.org/I137902535","https://openalex.org/I19820366","https://openalex.org/I99065089"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.5708,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89308412,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"4","first_page":"589","last_page":"621"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9830999970436096,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9133999943733215,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9090086221694946},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.8242502212524414},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5711280703544617},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5523331165313721},{"id":"https://openalex.org/keywords/box-spline","display_name":"Box spline","score":0.45870861411094666},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.421045184135437},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.41645917296409607},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36147546768188477},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.356529176235199},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3222876489162445},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.1745002269744873},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1738353669643402},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.1169058084487915}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9090086221694946},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.8242502212524414},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5711280703544617},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5523331165313721},{"id":"https://openalex.org/C78383375","wikidata":"https://www.wikidata.org/wiki/Q4951620","display_name":"Box spline","level":4,"score":0.45870861411094666},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.421045184135437},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.41645917296409607},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36147546768188477},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.356529176235199},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3222876489162445},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.1745002269744873},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1738353669643402},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.1169058084487915},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-006-9124-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9124-y","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.416.1489","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.416.1489","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2006/08/1448.pdf","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/7880168e-f9e6-4248-8005-88b979bffd37","is_oa":false,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/7880168e-f9e6-4248-8005-88b979bffd37","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zhao, Y-B, Fang, SC & Lavery, JE 2008, 'Geometric dual formulation for first-derivative-based univariate cubic L 1 splines', Journal of Global Optimization, vol. 40, no. 4, pp. 589-621. https://doi.org/10.1007/s10898-006-9124-y","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1535160936","https://openalex.org/W1587020841","https://openalex.org/W1588345844","https://openalex.org/W1632601927","https://openalex.org/W1967432289","https://openalex.org/W1973853483","https://openalex.org/W1977822650","https://openalex.org/W1991554814","https://openalex.org/W2000686079","https://openalex.org/W2008315844","https://openalex.org/W2015625803","https://openalex.org/W2015718219","https://openalex.org/W2027388912","https://openalex.org/W2029848226","https://openalex.org/W2033722596","https://openalex.org/W2044420083","https://openalex.org/W2044839389","https://openalex.org/W2050875740","https://openalex.org/W2065451462","https://openalex.org/W2084167786","https://openalex.org/W2084709495","https://openalex.org/W2092900575","https://openalex.org/W2101299512","https://openalex.org/W2114716229","https://openalex.org/W2127693013","https://openalex.org/W2162660532","https://openalex.org/W2162757432","https://openalex.org/W2162870748","https://openalex.org/W4205354563","https://openalex.org/W4230445183","https://openalex.org/W4232146711","https://openalex.org/W4248341828","https://openalex.org/W4249667877","https://openalex.org/W4256606291"],"related_works":["https://openalex.org/W1584528504","https://openalex.org/W2029848226","https://openalex.org/W2805594072","https://openalex.org/W2154654948","https://openalex.org/W4233973664","https://openalex.org/W1997691120","https://openalex.org/W2477186418","https://openalex.org/W2069300568","https://openalex.org/W2259054223","https://openalex.org/W2152484171"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
