{"id":"https://openalex.org/W2058174631","doi":"https://doi.org/10.1137/140987869","title":"A Global Approach for Solving Edge-Matching Puzzles","display_name":"A Global Approach for Solving Edge-Matching Puzzles","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2058174631","doi":"https://doi.org/10.1137/140987869","mag":"2058174631"},"language":"en","primary_location":{"id":"doi:10.1137/140987869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140987869","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5074707764","display_name":"Shahar Z. Kovalsky","orcid":"https://orcid.org/0000-0001-8924-5538"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. Z. Kovalsky","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001667895","display_name":"Daniel Gl\u00e4sner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. Glasner","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5015643210","display_name":"Rabeya Basri","orcid":"https://orcid.org/0000-0003-0445-0917"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. Basri","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3673,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.67955263,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"2","first_page":"916","last_page":"938"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":1.0,"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"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9915000200271606,"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/T12364","display_name":"Archaeological Research and Protection","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/1912","display_name":"Space and Planetary Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6921617984771729},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6552737951278687},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6265186071395874},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6173849105834961},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6050850749015808},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5364763140678406},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.466940313577652},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4322969615459442},{"id":"https://openalex.org/keywords/colored","display_name":"Colored","score":0.4279361665248871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39866936206817627},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3501622676849365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3224674463272095},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32173195481300354},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16793957352638245},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1091986894607544},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08852574229240417}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6921617984771729},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6552737951278687},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6265186071395874},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6173849105834961},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6050850749015808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5364763140678406},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.466940313577652},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4322969615459442},{"id":"https://openalex.org/C2778307483","wikidata":"https://www.wikidata.org/wiki/Q5149038","display_name":"Colored","level":2,"score":0.4279361665248871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39866936206817627},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3501622676849365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3224674463272095},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32173195481300354},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16793957352638245},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1091986894607544},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08852574229240417},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/140987869","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140987869","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W116280814","https://openalex.org/W116498344","https://openalex.org/W165381567","https://openalex.org/W217710249","https://openalex.org/W360528349","https://openalex.org/W1518341038","https://openalex.org/W1529712732","https://openalex.org/W1566149671","https://openalex.org/W1570420806","https://openalex.org/W1585754713","https://openalex.org/W1587316473","https://openalex.org/W1591233685","https://openalex.org/W1965644184","https://openalex.org/W1968279345","https://openalex.org/W1973904197","https://openalex.org/W1976015505","https://openalex.org/W1982931780","https://openalex.org/W1985548249","https://openalex.org/W1986198903","https://openalex.org/W1992101337","https://openalex.org/W2010414880","https://openalex.org/W2018615018","https://openalex.org/W2035291456","https://openalex.org/W2036342488","https://openalex.org/W2048448713","https://openalex.org/W2055430302","https://openalex.org/W2058209380","https://openalex.org/W2059383484","https://openalex.org/W2071007702","https://openalex.org/W2077230361","https://openalex.org/W2084810551","https://openalex.org/W2087900192","https://openalex.org/W2102108803","https://openalex.org/W2107861471","https://openalex.org/W2117953491","https://openalex.org/W2118550318","https://openalex.org/W2126708984","https://openalex.org/W2128745377","https://openalex.org/W2130975683","https://openalex.org/W2141155330","https://openalex.org/W2148300333","https://openalex.org/W2160080538","https://openalex.org/W2914207621","https://openalex.org/W2949807561","https://openalex.org/W3191066320","https://openalex.org/W4236965008"],"related_works":["https://openalex.org/W2140509105","https://openalex.org/W3146178872","https://openalex.org/W4235907447","https://openalex.org/W2072835713","https://openalex.org/W4205128724","https://openalex.org/W2040849466","https://openalex.org/W346008744","https://openalex.org/W4284887816","https://openalex.org/W891964471","https://openalex.org/W2484916042"],"abstract_inverted_index":{"We":[0,31,72],"consider":[1],"apictorial":[2],"edge-matching":[3],"puzzles,":[4],"in":[5],"which":[6,43],"the":[7,22,26,50,55,82],"goal":[8],"is":[9],"to":[10,81],"arrange":[11],"a":[12,47,63,87],"collection":[13],"of":[14,28,59,67,89],"puzzle":[15],"pieces":[16],"with":[17,69],"colored":[18],"edges":[19,27],"so":[20],"that":[21],"colors":[23],"match":[24],"along":[25],"adjacent":[29],"pieces.":[30],"devise":[32],"an":[33],"algebraic":[34],"representation":[35],"for":[36,77],"this":[37],"problem":[38,58,84],"and":[39],"provide":[40],"conditions":[41],"under":[42],"it":[44],"exactly":[45],"characterizes":[46],"puzzle.":[48],"Using":[49],"new":[51,75],"representation,":[52],"we":[53],"recast":[54],"combinatorial,":[56],"discrete":[57],"solving":[60,86],"puzzles":[61],"as":[62],"global,":[64],"polynomial":[65],"system":[66],"equations":[68],"continuous":[70,83],"variables.":[71],"further":[73],"propose":[74],"algorithms":[76],"generating":[78],"approximate":[79],"solutions":[80],"by":[85],"sequence":[88],"convex":[90],"relaxations.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}