{"id":"https://openalex.org/W2952746235","doi":"https://doi.org/10.1007/s00454-021-00355-8","title":"Circumscribing Polygons and Polygonizations for Disjoint Line Segments","display_name":"Circumscribing Polygons and Polygonizations for Disjoint Line Segments","publication_year":2022,"publication_date":"2022-01-31","ids":{"openalex":"https://openalex.org/W2952746235","doi":"https://doi.org/10.1007/s00454-021-00355-8","mag":"2952746235"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-021-00355-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-021-00355-8","pdf_url":null,"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 & Computational Geometry","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/A5021328602","display_name":"Hugo A. Akitaya","orcid":"https://orcid.org/0000-0002-6827-2200"},"institutions":[{"id":"https://openalex.org/I133738476","display_name":"University of Massachusetts Lowell","ror":"https://ror.org/03hamhx47","country_code":"US","type":"education","lineage":["https://openalex.org/I133738476"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hugo A. Akitaya","raw_affiliation_strings":["Department of Computer Science, University of Massachusetts Lowell, Lowell, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-6827-2200","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Massachusetts Lowell, Lowell, MA, USA","institution_ids":["https://openalex.org/I133738476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012765386","display_name":"Matias Korman","orcid":"https://orcid.org/0000-0002-4880-1101"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Matias Korman","raw_affiliation_strings":["Siemens Electronic Design Automation, Wilsonville, OR, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Siemens Electronic Design Automation, Wilsonville, OR, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045520082","display_name":"Oliver Korten","orcid":null},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Oliver Korten","raw_affiliation_strings":["Department of Computer Science, Tufts University, Medford, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060553826","display_name":"Mikhail Rudoy","orcid":"https://orcid.org/0000-0002-9210-1006"},"institutions":[{"id":"https://openalex.org/I4405258931","display_name":"MIT Computer Science and Artificial Intelligence Laboratory","ror":"https://ror.org/01e85r662","country_code":"US","type":"facility","lineage":["https://openalex.org/I4405258931","https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mikhail Rudoy","raw_affiliation_strings":["MIT CSAIL, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MIT CSAIL, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4405258931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069555175","display_name":"Diane L. Souvaine","orcid":null},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Diane L. Souvaine","raw_affiliation_strings":["Department of Computer Science, Tufts University, Medford, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tufts University, Medford, MA, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030799674","display_name":"Csaba D. T\u00f3th","orcid":"https://orcid.org/0000-0002-8769-3190"},"institutions":[{"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":true,"raw_author_name":"Csaba D. T\u00f3th","raw_affiliation_strings":["Department of Mathematics, California State University Northridge, Los Angeles, CA, USA","Siemens Electronic Design Automation, Wilsonville, OR, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California State University Northridge, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I157638225"]},{"raw_affiliation_string":"Siemens Electronic Design Automation, Wilsonville, OR, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012765386","https://openalex.org/A5030799674","https://openalex.org/A5045520082","https://openalex.org/A5060553826","https://openalex.org/A5069555175"],"corresponding_institution_ids":["https://openalex.org/I121934306","https://openalex.org/I157638225","https://openalex.org/I4405258931"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00337774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"68","issue":"1","first_page":"218","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"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":0.9998999834060669,"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/T12504","display_name":"Mathematics and Applications","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8784196376800537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8735177516937256},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6481034159660339},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.6396654844284058},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.6243085265159607},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.5958921909332275},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.5863523483276367},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5095844268798828},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.49619418382644653},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.44388407468795776},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.4309481978416443},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.3552294969558716},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3256734311580658},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20490935444831848},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.1909777820110321},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.11887848377227783}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8784196376800537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8735177516937256},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6481034159660339},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.6396654844284058},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.6243085265159607},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.5958921909332275},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.5863523483276367},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5095844268798828},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.49619418382644653},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.44388407468795776},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4309481978416443},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.3552294969558716},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3256734311580658},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20490935444831848},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.1909777820110321},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.11887848377227783},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-021-00355-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-021-00355-8","pdf_url":null,"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 & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3495112865","display_name":null,"funder_award_id":"KAKENHI No. 17K12635","funder_id":"https://openalex.org/F4320320912","funder_display_name":"Ministry of Education, Culture, Sports, Science and Technology"},{"id":"https://openalex.org/G3853770271","display_name":null,"funder_award_id":"CCF-1422311","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6589066239","display_name":null,"funder_award_id":"CCF-1423615","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/F4320320912","display_name":"Ministry of Education, Culture, Sports, Science and Technology","ror":"https://ror.org/048rj2z13"},{"id":"https://openalex.org/F4320321487","display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1590770767","https://openalex.org/W1972701463","https://openalex.org/W1974432439","https://openalex.org/W1983755786","https://openalex.org/W2003073299","https://openalex.org/W2014304859","https://openalex.org/W2019912818","https://openalex.org/W2020550704","https://openalex.org/W2028883079","https://openalex.org/W2031165997","https://openalex.org/W2031282410","https://openalex.org/W2048707633","https://openalex.org/W2053207525","https://openalex.org/W2087818742","https://openalex.org/W2092284622","https://openalex.org/W2107489311","https://openalex.org/W2116031575","https://openalex.org/W2163448076","https://openalex.org/W2179787197","https://openalex.org/W2569928643","https://openalex.org/W2624596731","https://openalex.org/W2811004539","https://openalex.org/W4237169760"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W1988449797","https://openalex.org/W2466150543","https://openalex.org/W2026465854","https://openalex.org/W2362048241","https://openalex.org/W2372903818","https://openalex.org/W2155945776","https://openalex.org/W2085681674","https://openalex.org/W2379235080","https://openalex.org/W2949269373"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-14T08:27:34.040176","created_date":"2025-10-10T00:00:00"}