{"id":"https://openalex.org/W2074536198","doi":"https://doi.org/10.1007/bf01759071","title":"On partitioning rectilinear polygons into star-shaped polygons","display_name":"On partitioning rectilinear polygons into star-shaped polygons","publication_year":1991,"publication_date":"1991-06-01","ids":{"openalex":"https://openalex.org/W2074536198","doi":"https://doi.org/10.1007/bf01759071","mag":"2074536198"},"language":"en","primary_location":{"id":"doi:10.1007/bf01759071","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01759071","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/A5111665341","display_name":"Robin Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I99908691","display_name":"Yuan Ze University","ror":"https://ror.org/01fv1ds98","country_code":"TW","type":"education","lineage":["https://openalex.org/I99908691"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Robin Liu","raw_affiliation_strings":["Department of Computer Engineering and Sciences, Yuan-Ze Institute of Technology, Neili, Taiwan, Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering and Sciences, Yuan-Ze Institute of Technology, Neili, Taiwan, Republic of China","institution_ids":["https://openalex.org/I99908691"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010170603","display_name":"Simeon Ntafos","orcid":null},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Simeon Ntafos","raw_affiliation_strings":["Computer Science Program, University of Texas at Dallas, 75083, Richardson, TX, USA","Computer Science Program, University of Texas at Dallas, Richardson, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Program, University of Texas at Dallas, 75083, Richardson, TX, USA","institution_ids":["https://openalex.org/I162577319"]},{"raw_affiliation_string":"Computer Science Program, University of Texas at Dallas, Richardson, USA","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111665341"],"corresponding_institution_ids":["https://openalex.org/I99908691"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.17988065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":"1-6","first_page":"771","last_page":"800"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.996399998664856,"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/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-in-polygon","display_name":"Point in polygon","score":0.8450908660888672},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.8026431798934937},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7679319381713867},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.7568691372871399},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7148401737213135},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.7067878246307373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5927374958992004},{"id":"https://openalex.org/keywords/star","display_name":"Star (game theory)","score":0.5884392857551575},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.5836580991744995},{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.5486052632331848},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4945187270641327},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.48398661613464355},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4618505537509918},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44716203212738037},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.43837636709213257},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.43659061193466187},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4258020222187042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3777051866054535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26790598034858704},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15748843550682068},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.09888947010040283},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.07412838935852051}],"concepts":[{"id":"https://openalex.org/C59902600","wikidata":"https://www.wikidata.org/wiki/Q1575331","display_name":"Point in polygon","level":3,"score":0.8450908660888672},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.8026431798934937},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7679319381713867},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.7568691372871399},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7148401737213135},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.7067878246307373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5927374958992004},{"id":"https://openalex.org/C2780897414","wikidata":"https://www.wikidata.org/wiki/Q7600592","display_name":"Star (game theory)","level":2,"score":0.5884392857551575},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.5836580991744995},{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.5486052632331848},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4945187270641327},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.48398661613464355},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4618505537509918},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44716203212738037},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.43837636709213257},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.43659061193466187},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4258020222187042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3777051866054535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26790598034858704},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15748843550682068},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.09888947010040283},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.07412838935852051},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01759071","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01759071","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W188711341","https://openalex.org/W1655990431","https://openalex.org/W1981233261","https://openalex.org/W1982182450","https://openalex.org/W1983487792","https://openalex.org/W1984346383","https://openalex.org/W1994072439","https://openalex.org/W1998193049","https://openalex.org/W2038280788","https://openalex.org/W2041437464","https://openalex.org/W2066486518","https://openalex.org/W2087422927","https://openalex.org/W2094658339","https://openalex.org/W3160897418"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W1988449797","https://openalex.org/W2466150543","https://openalex.org/W3082218119","https://openalex.org/W1812659169","https://openalex.org/W2362048241","https://openalex.org/W2102467404","https://openalex.org/W2155945776","https://openalex.org/W3016304894","https://openalex.org/W2372903818"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
