{"id":"https://openalex.org/W2999325574","doi":"https://doi.org/10.1109/ivcnz48456.2019.8960967","title":"Iterative projection algorithms for solving constraint satisfaction problems: Effect of constraint convexity","display_name":"Iterative projection algorithms for solving constraint satisfaction problems: Effect of constraint convexity","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2999325574","doi":"https://doi.org/10.1109/ivcnz48456.2019.8960967","mag":"2999325574"},"language":"en","primary_location":{"id":"doi:10.1109/ivcnz48456.2019.8960967","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ivcnz48456.2019.8960967","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Conference on Image and Vision Computing New Zealand (IVCNZ)","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/A5069128675","display_name":"Rick P. Millane","orcid":"https://orcid.org/0000-0003-2226-5774"},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Rick P. Millane","raw_affiliation_strings":["University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","Computational Imaging Group, University of Canterbury, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Computational Imaging Group, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030568100","display_name":"Joshua T. Taylor","orcid":"https://orcid.org/0000-0001-7503-4166"},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Joshua T. Taylor","raw_affiliation_strings":["University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","Computational Imaging Group, University of Canterbury, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Computational Imaging Group, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112138129","display_name":"Romain D. Arnal","orcid":null},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Romain D. Arnal","raw_affiliation_strings":["University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","Computational Imaging Group, University of Canterbury, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Computational Imaging Group, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065849934","display_name":"David H. Wojtas","orcid":null},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"David H. Wojtas","raw_affiliation_strings":["University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","Computational Imaging Group, University of Canterbury, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Computational Imaging Group, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053171743","display_name":"Richard Clare","orcid":"https://orcid.org/0000-0002-1397-8986"},"institutions":[{"id":"https://openalex.org/I185492890","display_name":"University of Canterbury","ror":"https://ror.org/03y7q9t39","country_code":"NZ","type":"education","lineage":["https://openalex.org/I185492890"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Richard M. Clare","raw_affiliation_strings":["University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","Computational Imaging Group, University of Canterbury, Christchurch, New Zealand"],"affiliations":[{"raw_affiliation_string":"University of Canterbury,Computational Imaging Group,Christchurch,New Zealand","institution_ids":["https://openalex.org/I185492890"]},{"raw_affiliation_string":"Computational Imaging Group, University of Canterbury, Christchurch, New Zealand","institution_ids":["https://openalex.org/I185492890"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5069128675"],"corresponding_institution_ids":["https://openalex.org/I185492890"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24019452,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9814000129699707,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10638","display_name":"Optical measurement and interference techniques","score":0.9758999943733215,"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/constraint-satisfaction-dual-problem","display_name":"Constraint satisfaction dual problem","score":0.7456095218658447},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6422219276428223},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6400645971298218},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.6142837405204773},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.595241904258728},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.553507387638092},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5016510486602783},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5010385513305664},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.484508216381073},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.47471749782562256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4741367995738983},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.46713733673095703},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.44957435131073},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.40611976385116577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4009401500225067},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13480105996131897}],"concepts":[{"id":"https://openalex.org/C183046576","wikidata":"https://www.wikidata.org/wiki/Q5164380","display_name":"Constraint satisfaction dual problem","level":5,"score":0.7456095218658447},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6422219276428223},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6400645971298218},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.6142837405204773},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.595241904258728},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.553507387638092},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5016510486602783},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5010385513305664},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.484508216381073},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.47471749782562256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4741367995738983},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.46713733673095703},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.44957435131073},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.40611976385116577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4009401500225067},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13480105996131897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ivcnz48456.2019.8960967","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ivcnz48456.2019.8960967","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 International Conference on Image and Vision Computing New Zealand (IVCNZ)","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":6,"referenced_works":["https://openalex.org/W1984789041","https://openalex.org/W2044613770","https://openalex.org/W2052552885","https://openalex.org/W2076589781","https://openalex.org/W2953002888","https://openalex.org/W2983347919"],"related_works":["https://openalex.org/W2091348864","https://openalex.org/W2569549435","https://openalex.org/W2784687883","https://openalex.org/W1550482496","https://openalex.org/W2141935412","https://openalex.org/W2737098235","https://openalex.org/W2012141606","https://openalex.org/W2012694101","https://openalex.org/W2161128834","https://openalex.org/W96881443"],"abstract_inverted_index":{"Many":[0],"inverse":[1],"problems":[2,30],"in":[3],"imaging":[4],"involve":[5],"solving":[6,70],"an":[7,66,108],"optimization":[8,27],"problem.":[9,28],"In":[10],"many":[11],"cases,":[12],"the":[13,20,41,80,87,92,105,112],"problem":[14,42,47,102],"is":[15],"high-dimensional":[16],"and":[17,39,79],"non-convex,":[18,25],"requiring":[19],"solution":[21],"of":[22,69,77,82,89,91,98,107,122],"a":[23,44,50,99,120],"difficult,":[24],"global":[26,51],"Such":[29],"can":[31,54],"be":[32,55],"made":[33],"tractable":[34],"by":[35],"enforcing":[36],"hard":[37],"constraints":[38,59],"treating":[40],"as":[43,119],"constraint":[45,72],"satisfaction":[46,73],"to":[48,103,116],"locate":[49],"solution,":[52,78],"which":[53],"refined":[56],"using":[57],"soft":[58],"if":[60],"necessary.":[61],"Iterative":[62],"projection":[63,110],"algorithms":[64],"are":[65],"effective":[67],"way":[68],"non-convex":[71],"problems.":[74],"The":[75],"difficulty":[76],"performance":[81,106,118],"these":[83],"algorithms,":[84],"depends":[85],"on":[86],"degree":[88],"non-convexity":[90],"constraints.":[93],"Here":[94],"we":[95],"use":[96],"simulations":[97],"phase":[100],"retrieval":[101],"study":[104,117],"iterative":[109],"algorithm,":[111,115],"difference":[113],"map":[114],"function":[121],"non-convexity.":[123]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}