{"id":"https://openalex.org/W1997223371","doi":"https://doi.org/10.1145/323233.323273","title":"Computing a convex skill of an orthogonal polygon","display_name":"Computing a convex skill of an orthogonal polygon","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W1997223371","doi":"https://doi.org/10.1145/323233.323273","mag":"1997223371"},"language":"en","primary_location":{"id":"doi:10.1145/323233.323273","is_oa":true,"landing_page_url":"https://doi.org/10.1145/323233.323273","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/323233.323273","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the first annual symposium on Computational geometry  - SCG '85","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://dl.acm.org/doi/pdf/10.1145/323233.323273","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110252515","display_name":"Derick Wood","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Derick Wood","raw_affiliation_strings":["Data Structuring Group, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Data Structuring Group, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078989577","display_name":"Chee Yap","orcid":"https://orcid.org/0000-0003-2952-3545"},"institutions":[{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chee K. Yap","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY","Courant Institute of Mathematical Sciences, New York University,  251 Mercer Street, New York, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]},{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University,  251 Mercer Street, New York, NY","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1092,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.8656851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"311","last_page":"315"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9994000196456909,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9994000196456909,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9915000200271606,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-covering","display_name":"Polygon covering","score":0.7707774639129639},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.6978001594543457},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6807298064231873},{"id":"https://openalex.org/keywords/star-shaped-polygon","display_name":"Star-shaped polygon","score":0.6789157390594482},{"id":"https://openalex.org/keywords/inscribed-figure","display_name":"Inscribed figure","score":0.6685997247695923},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.61384117603302},{"id":"https://openalex.org/keywords/rectilinear-polygon","display_name":"Rectilinear polygon","score":0.5909947752952576},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.5500451922416687},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5376777052879333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47067102789878845},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.461470365524292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4249614477157593},{"id":"https://openalex.org/keywords/point-in-polygon","display_name":"Point in polygon","score":0.4196015000343323},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41909366846084595},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.41021212935447693},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32477015256881714},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2762933373451233},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15865612030029297}],"concepts":[{"id":"https://openalex.org/C187778580","wikidata":"https://www.wikidata.org/wiki/Q18389289","display_name":"Polygon covering","level":3,"score":0.7707774639129639},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.6978001594543457},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6807298064231873},{"id":"https://openalex.org/C96366933","wikidata":"https://www.wikidata.org/wiki/Q2122886","display_name":"Star-shaped polygon","level":5,"score":0.6789157390594482},{"id":"https://openalex.org/C44074806","wikidata":"https://www.wikidata.org/wiki/Q1066790","display_name":"Inscribed figure","level":2,"score":0.6685997247695923},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.61384117603302},{"id":"https://openalex.org/C170542616","wikidata":"https://www.wikidata.org/wiki/Q7303186","display_name":"Rectilinear polygon","level":4,"score":0.5909947752952576},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.5500451922416687},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5376777052879333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47067102789878845},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.461470365524292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4249614477157593},{"id":"https://openalex.org/C59902600","wikidata":"https://www.wikidata.org/wiki/Q1575331","display_name":"Point in polygon","level":3,"score":0.4196015000343323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41909366846084595},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.41021212935447693},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32477015256881714},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2762933373451233},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15865612030029297},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/323233.323273","is_oa":true,"landing_page_url":"https://doi.org/10.1145/323233.323273","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/323233.323273","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the first annual symposium on Computational geometry  - SCG '85","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/323233.323273","is_oa":true,"landing_page_url":"https://doi.org/10.1145/323233.323273","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/323233.323273","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the first annual symposium on Computational geometry  - SCG '85","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1997223371.pdf","grobid_xml":"https://content.openalex.org/works/W1997223371.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W1966720998","https://openalex.org/W2028071467","https://openalex.org/W2164207219"],"related_works":["https://openalex.org/W2466150543","https://openalex.org/W1812659169","https://openalex.org/W2798354335","https://openalex.org/W2123516473","https://openalex.org/W4292219087","https://openalex.org/W1991526295","https://openalex.org/W2046963656","https://openalex.org/W2148315837","https://openalex.org/W1985894833","https://openalex.org/W1579553590"],"abstract_inverted_index":{"Given":[0],"a":[1,7,50],"simple":[2,8],"orthogonal":[3,24,32],"polygon,":[4],"that":[5],"is":[6,30,49],"polygon":[9,25],"whose":[10],"edges":[11],"are":[12],"parallel":[13],"to":[14,19,45],"the":[15,31,35,54,59],"axes,":[16],"we":[17],"wish":[18],"determine":[20],"an":[21,41],"inscribed":[22],"convex":[23],"of":[26,34],"maximal":[27],"area.":[28],"This":[29],"version":[33],"potato":[36],"peeling":[37],"problem.":[38,61],"We":[39],"present":[40],"\u039f(n2)":[42],"time":[43,56],"algorithm":[44,57],"solve":[46],"it,":[47],"which":[48],"substantial":[51],"improvement":[52],"over":[53],"\u039f(n7":[55],"for":[58],"general":[60]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}