{"id":"https://openalex.org/W2040689705","doi":"https://doi.org/10.1145/1810959.1810980","title":"Convexification of polygons by length preserving transformations","display_name":"Convexification of polygons by length preserving transformations","publication_year":2010,"publication_date":"2010-06-13","ids":{"openalex":"https://openalex.org/W2040689705","doi":"https://doi.org/10.1145/1810959.1810980","mag":"2040689705"},"language":"en","primary_location":{"id":"doi:10.1145/1810959.1810980","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1810959.1810980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-sixth annual symposium on Computational geometry","raw_type":"proceedings-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/A5091313409","display_name":"Adrian Dumitrescu","orcid":"https://orcid.org/0000-0002-1118-0321"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Adrian Dumitrescu","raw_affiliation_strings":["Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA","University of Wisconsin - Milwaukee, Milwaukee, WI, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"University of Wisconsin - Milwaukee, Milwaukee, WI, USA#TAB#","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085866785","display_name":"Evan Hilscher","orcid":null},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Evan Hilscher","raw_affiliation_strings":["Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA","University of Wisconsin - Milwaukee, Milwaukee, WI, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Univ. of Wisconsin-Milwaukee, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"University of Wisconsin - Milwaukee, Milwaukee, WI, USA#TAB#","institution_ids":["https://openalex.org/I43579087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091313409"],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10994435,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"113","last_page":"114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9648000001907349,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9648000001907349,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9376000165939331,"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/T13518","display_name":"Architecture and Computational Design","score":0.9222000241279602,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"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/polygon","display_name":"Polygon (computer graphics)","score":0.8148543834686279},{"id":"https://openalex.org/keywords/simple-polygon","display_name":"Simple polygon","score":0.6663869619369507},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6595216393470764},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5328377485275269},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4737176299095154},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42763853073120117},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38670557737350464},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3799614906311035},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3622891902923584},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18313249945640564},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07125687599182129}],"concepts":[{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.8148543834686279},{"id":"https://openalex.org/C197949415","wikidata":"https://www.wikidata.org/wiki/Q782746","display_name":"Simple polygon","level":3,"score":0.6663869619369507},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6595216393470764},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5328377485275269},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4737176299095154},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42763853073120117},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38670557737350464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3799614906311035},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3622891902923584},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18313249945640564},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07125687599182129},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1810959.1810980","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1810959.1810980","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the twenty-sixth annual symposium on Computational geometry","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5199999809265137,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W70402426","https://openalex.org/W1572844260","https://openalex.org/W1993484966","https://openalex.org/W2040727076","https://openalex.org/W2114353385","https://openalex.org/W2120778288","https://openalex.org/W2333030011","https://openalex.org/W2913852997","https://openalex.org/W4241053856","https://openalex.org/W4285719527","https://openalex.org/W6600133231","https://openalex.org/W6602893964","https://openalex.org/W6610580628"],"related_works":["https://openalex.org/W2608536130","https://openalex.org/W2102467404","https://openalex.org/W3014595637","https://openalex.org/W2987051945","https://openalex.org/W53644101","https://openalex.org/W2154329468","https://openalex.org/W4296464845","https://openalex.org/W2389833224","https://openalex.org/W2372903818","https://openalex.org/W1567510565"],"abstract_inverted_index":{"A":[0],"length":[1,30],"preserving":[2,31],"transformation":[3,9],"of":[4,10,17,29,41,53],"a":[5],"polygon":[6],"is":[7],"any":[8],"its":[11],"vertices":[12],"that":[13],"preserves":[14],"the":[15,18,21,51],"lengths":[16],"edges.":[19],"In":[20],"video":[22],"segment":[23],"we":[24],"will":[25],"demonstrate":[26],"three":[27],"types":[28],"transformations:":[32],"pocket":[33],"flips,":[34],"flipturns,":[35],"and":[36,44],"pops.":[37],"We":[38],"present":[39],"sequences":[40],"such":[42],"operations":[43],"study":[45],"their":[46],"power":[47],"(or":[48],"weakness)":[49],"in":[50],"attempt":[52],"convexifying":[54],"simple":[55],"polygons.":[56]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}