{"id":"https://openalex.org/W1990729778","doi":"https://doi.org/10.1007/s00454-008-9099-1","title":"Matching Points with Squares","display_name":"Matching Points with Squares","publication_year":2008,"publication_date":"2008-07-02","ids":{"openalex":"https://openalex.org/W1990729778","doi":"https://doi.org/10.1007/s00454-008-9099-1","mag":"1990729778"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-008-9099-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9099-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9099-1.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9099-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033102874","display_name":"Bernardo M. \u00c1brego","orcid":"https://orcid.org/0000-0003-4695-5454"},"institutions":[{"id":"https://openalex.org/I127339247","display_name":"California State University System","ror":"https://ror.org/020qm1538","country_code":"US","type":"education","lineage":["https://openalex.org/I127339247"]},{"id":"https://openalex.org/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernardo M. \u00c1brego","raw_affiliation_strings":["Department of Mathematics, California State University, Northridge, CA, USA","California State University, Department of Mathematics, Northridge, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University, Northridge, CA, USA","institution_ids":["https://openalex.org/I157638225"]},{"raw_affiliation_string":"California State University, Department of Mathematics, Northridge, CA, USA#TAB#","institution_ids":["https://openalex.org/I127339247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037943415","display_name":"Esther M. Arkin","orcid":"https://orcid.org/0009-0005-8542-931X"},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Esther M. Arkin","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York, Stony Brook, NY, USA","State University of New York, Department of Applied Mathematics and Statistics, Stony Brook, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York, Stony Brook, NY, USA","institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"]},{"raw_affiliation_string":"State University of New York, Department of Applied Mathematics and Statistics, Stony Brook, NY, USA#TAB#","institution_ids":["https://openalex.org/I1327163397"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065145319","display_name":"Silvia Fern\u00e1ndez\u2010Merchant","orcid":"https://orcid.org/0000-0003-2080-106X"},"institutions":[{"id":"https://openalex.org/I127339247","display_name":"California State University System","ror":"https://ror.org/020qm1538","country_code":"US","type":"education","lineage":["https://openalex.org/I127339247"]},{"id":"https://openalex.org/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Silvia Fern\u00e1ndez-Merchant","raw_affiliation_strings":["Department of Mathematics, California State University, Northridge, CA, USA","California State University, Department of Mathematics, Northridge, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University, Northridge, CA, USA","institution_ids":["https://openalex.org/I157638225"]},{"raw_affiliation_string":"California State University, Department of Mathematics, Northridge, CA, USA#TAB#","institution_ids":["https://openalex.org/I127339247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111463493","display_name":"Ferr\u00e1n Hurtado","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ferran Hurtado","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","Universitat Polit\u00e8cnica de Catalunya, Departament de Matem\u00e0tica Aplicada II, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya, Departament de Matem\u00e0tica Aplicada II, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062422841","display_name":"Mikio Kan\u014d","orcid":"https://orcid.org/0000-0002-7545-0327"},"institutions":[{"id":"https://openalex.org/I6178835","display_name":"Ibaraki University","ror":"https://ror.org/00sjd5653","country_code":"JP","type":"education","lineage":["https://openalex.org/I6178835"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mikio Kano","raw_affiliation_strings":["Department of Computer and Information Sciences, Ibaraki University, Ibaraki, Japan","Ibaraki University, Department of Computer and Information Sciences, Ibaraki, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, Ibaraki University, Ibaraki, Japan","institution_ids":["https://openalex.org/I6178835"]},{"raw_affiliation_string":"Ibaraki University, Department of Computer and Information Sciences, Ibaraki, Japan#TAB#","institution_ids":["https://openalex.org/I6178835"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015247956","display_name":"Joseph S. B. Mitchell","orcid":"https://orcid.org/0000-0002-0152-2279"},"institutions":[{"id":"https://openalex.org/I1327163397","display_name":"State University of New York","ror":"https://ror.org/01q1z8k08","country_code":"US","type":"education","lineage":["https://openalex.org/I1327163397"]},{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Joseph S. B. Mitchell","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, State University of New York, Stony Brook, NY, USA","State University of New York, Department of Applied Mathematics and Statistics, Stony Brook, NY, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, State University of New York, Stony Brook, NY, USA","institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"]},{"raw_affiliation_string":"State University of New York, Department of Applied Mathematics and Statistics, Stony Brook, NY, USA#TAB#","institution_ids":["https://openalex.org/I1327163397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068857927","display_name":"Jorge Urrutia","orcid":"https://orcid.org/0000-0002-4158-5979"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jorge Urrutia","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","Universidad Nacional Aut\u00f3noma de M\u00e9xico, Instituto de Matem\u00e1ticas, Mexico City, Mexico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, Mexico","institution_ids":["https://openalex.org/I8961855"]},{"raw_affiliation_string":"Universidad Nacional Aut\u00f3noma de M\u00e9xico, Instituto de Matem\u00e1ticas, Mexico City, Mexico#TAB#","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5015247956"],"corresponding_institution_ids":["https://openalex.org/I1327163397","https://openalex.org/I59553526"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7448,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.81113496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"41","issue":"1","first_page":"77","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.965499997138977,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10757","display_name":"Geographic Information Systems Studies","score":0.9524000287055969,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8570911884307861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8167558908462524},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7123334407806396},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5592747330665588},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.5450738072395325},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4411900043487549},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4394778609275818},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32899266481399536},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13487160205841064}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8570911884307861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8167558908462524},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7123334407806396},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5592747330665588},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.5450738072395325},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4411900043487549},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4394778609275818},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32899266481399536},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13487160205841064},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00454-008-9099-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9099-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9099-1.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.145.2721","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.145.2721","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.matem.unam.mx/~urrutia/online_papers/MatchPointsSquares.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.7201","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.7201","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.csun.edu/~ba70714/squarematchings.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00454-008-9099-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9099-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9099-1.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1221256251","display_name":"Visualization/MASSIVE: Multiresolution, Adaptive, Subdivision Surfaces for Interactive Visualization and Exploration","funder_award_id":"0328930","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3237867998","display_name":"Research Initiation Award: The Characterization of IL-6 on Cystic Fibrosis Airway Epithelial Cells Membrane Integrity and Bacterial Clearance","funder_award_id":"2000160","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3581308421","display_name":"MSPA-MCS:    Collaborative Research:   New Methods for Robust, Feature-Preserving Surface Reconstruction","funder_award_id":"0528209","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3942479902","display_name":"Algorithmic Studies in Applied Geometry","funder_award_id":"0098172","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6286022730","display_name":null,"funder_award_id":"CCF-0431030","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7102014014","display_name":"Algorithmic Studies in Applied Geometry","funder_award_id":"0729019","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7404393302","display_name":null,"funder_award_id":"NAG2-1620","funder_id":"https://openalex.org/F4320306101","funder_display_name":"National Aeronautics and Space Administration"},{"id":"https://openalex.org/G7449807376","display_name":"Algorithmic Studies in Applied Geometry","funder_award_id":"0431030","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8222414138","display_name":null,"funder_award_id":"2005SGR00692","funder_id":"https://openalex.org/F4320335162","funder_display_name":"Departament d'Universitats, Recerca i Societat de la Informaci\u00f3"},{"id":"https://openalex.org/G8259511341","display_name":null,"funder_award_id":"ACI-0328930","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8910135337","display_name":null,"funder_award_id":"CCF-0528209","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320328447","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31"},{"id":"https://openalex.org/F4320332374","display_name":"Ames Research Center","ror":"https://ror.org/02acart68"},{"id":"https://openalex.org/F4320335162","display_name":"Departament d'Universitats, Recerca i Societat de la Informaci\u00f3","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1990729778.pdf","grobid_xml":"https://content.openalex.org/works/W1990729778.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W246837549","https://openalex.org/W1484649337","https://openalex.org/W1996236086","https://openalex.org/W2005314985","https://openalex.org/W2027957106","https://openalex.org/W2045706387","https://openalex.org/W2050065904","https://openalex.org/W2050895339","https://openalex.org/W2079047030","https://openalex.org/W2118927049","https://openalex.org/W2147106864","https://openalex.org/W2152203458","https://openalex.org/W2561675875","https://openalex.org/W4285719527","https://openalex.org/W6609312496"],"related_works":["https://openalex.org/W2012974186","https://openalex.org/W3107721479","https://openalex.org/W2952929688","https://openalex.org/W2075509416","https://openalex.org/W2017429935","https://openalex.org/W4380993372","https://openalex.org/W1530429524","https://openalex.org/W2008242913","https://openalex.org/W2091740772","https://openalex.org/W4381250425"],"abstract_inverted_index":null,"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":4},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
