{"id":"https://openalex.org/W2074779847","doi":"https://doi.org/10.1007/s10479-012-1249-4","title":"Linear programming and the inverse method of images","display_name":"Linear programming and the inverse method of images","publication_year":2012,"publication_date":"2012-11-08","ids":{"openalex":"https://openalex.org/W2074779847","doi":"https://doi.org/10.1007/s10479-012-1249-4","mag":"2074779847"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-012-1249-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-012-1249-4","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","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/A5008368307","display_name":"Paul Zipkin","orcid":null},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Paul Zipkin","raw_affiliation_strings":["Duke University, Durham, NC, USA","Duke University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Duke University","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008368307"],"corresponding_institution_ids":["https://openalex.org/I170897317"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":0.4493,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75785085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"208","issue":"1","first_page":"227","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9941999912261963,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.993399977684021,"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/theory-of-computation","display_name":"Theory of computation","score":0.7212634086608887},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6306886672973633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5784372091293335},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5340481996536255},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5316513180732727},{"id":"https://openalex.org/keywords/scope","display_name":"Scope (computer science)","score":0.5159528851509094},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.4971678555011749},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4941768944263458},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4763791263103485},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4756740629673004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4543648362159729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4331626892089844},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4295625686645508},{"id":"https://openalex.org/keywords/palette","display_name":"Palette (painting)","score":0.4157432019710541},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32356104254722595},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13365915417671204},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07371267676353455},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07339048385620117}],"concepts":[{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7212634086608887},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6306886672973633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5784372091293335},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5340481996536255},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5316513180732727},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.5159528851509094},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.4971678555011749},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4941768944263458},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4763791263103485},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4756740629673004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4543648362159729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4331626892089844},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4295625686645508},{"id":"https://openalex.org/C2779674283","wikidata":"https://www.wikidata.org/wiki/Q425548","display_name":"Palette (painting)","level":2,"score":0.4157432019710541},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32356104254722595},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13365915417671204},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07371267676353455},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07339048385620117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-012-1249-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-012-1249-4","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:208:y:2013:i:1:p:227-243:10.1007/s10479-012-1249-4","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-012-1249-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":36,"referenced_works":["https://openalex.org/W17137885","https://openalex.org/W383892817","https://openalex.org/W1568201950","https://openalex.org/W1620411296","https://openalex.org/W1995559195","https://openalex.org/W2007645463","https://openalex.org/W2016823683","https://openalex.org/W2028801808","https://openalex.org/W2036493905","https://openalex.org/W2042058073","https://openalex.org/W2046836163","https://openalex.org/W2054875221","https://openalex.org/W2075972171","https://openalex.org/W2080153675","https://openalex.org/W2082756680","https://openalex.org/W2086411323","https://openalex.org/W2088012076","https://openalex.org/W2095649426","https://openalex.org/W2106966080","https://openalex.org/W2117244881","https://openalex.org/W2120062331","https://openalex.org/W2127470768","https://openalex.org/W2276056289","https://openalex.org/W2491885446","https://openalex.org/W2947171186","https://openalex.org/W2986057930","https://openalex.org/W3098480495","https://openalex.org/W4231966718","https://openalex.org/W4238517626","https://openalex.org/W4298452383","https://openalex.org/W4301216918","https://openalex.org/W6600673388","https://openalex.org/W6613174831","https://openalex.org/W6633942965","https://openalex.org/W6775794996","https://openalex.org/W6809433244"],"related_works":["https://openalex.org/W2384383935","https://openalex.org/W4234082839","https://openalex.org/W2509410833","https://openalex.org/W3183827559","https://openalex.org/W2004761075","https://openalex.org/W2368237188","https://openalex.org/W2890578708","https://openalex.org/W1600675813","https://openalex.org/W1995599155","https://openalex.org/W2041443873"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}