{"id":"https://openalex.org/W2129354872","doi":"https://doi.org/10.1109/iccsa.2008.47","title":"On the Structure of Straight Skeletons","display_name":"On the Structure of Straight Skeletons","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2129354872","doi":"https://doi.org/10.1109/iccsa.2008.47","mag":"2129354872"},"language":"en","primary_location":{"id":"doi:10.1109/iccsa.2008.47","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccsa.2008.47","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Conference on Computational Sciences and Its Applications","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/A5077647562","display_name":"Kira Vyatkina","orcid":"https://orcid.org/0000-0001-7356-1616"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Kira Vyatkina","raw_affiliation_strings":["Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia","Dept. of Math. & Mech., St. Petersburg State Univ., St. Petersburg"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Dept. of Math. & Mech., St. Petersburg State Univ., St. Petersburg","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077647562"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10535117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1090","issue":null,"first_page":"452","last_page":"460"},"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/T11164","display_name":"Remote Sensing and LiDAR Applications","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.988099992275238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.550248384475708},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43543046712875366},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40896904468536377},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34822511672973633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3102354407310486},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12105745077133179}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.550248384475708},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43543046712875366},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40896904468536377},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34822511672973633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3102354407310486},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12105745077133179}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iccsa.2008.47","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iccsa.2008.47","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Conference on Computational Sciences and Its Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W72559714","https://openalex.org/W1505266085","https://openalex.org/W1513218784","https://openalex.org/W1520256448","https://openalex.org/W1537237151","https://openalex.org/W1887122289","https://openalex.org/W1964956208","https://openalex.org/W2011124327","https://openalex.org/W2043684015","https://openalex.org/W2059661411","https://openalex.org/W2396221689","https://openalex.org/W2972576946","https://openalex.org/W3139310354","https://openalex.org/W6630146280","https://openalex.org/W6768037274"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"For":[0],"a":[1,51,81,86],"planar":[2],"straight":[3,8],"line":[4],"graph":[5],"G,":[6,97],"its":[7],"skeleton":[9],"S(G)":[10],"can":[11,123],"be":[12,124],"partitioned":[13],"into":[14],"two":[15],"subgraphs":[16,55],"SC(G)":[17,38],"and":[18,25,98],"Sr(G)":[19],"traced":[20],"out":[21],"by":[22,26,140],"the":[23,27,31,40,44,127,155,158],"convex":[24,88],"reflex":[28,45],"vertices":[29,47],"of":[30,53,66,105,147,157],"linear":[32],"wavefront,":[33],"respectively.":[34],"By":[35],"further":[36],"splitting":[37],"at":[39,42],"nodes,":[41],"which":[43],"wavefront":[46],"vanish,":[48],"we":[49],"obtain":[50],"set":[52],"connected":[54],"M":[56,62,76,119],"<sub":[57,63,77,91,120,131,137,149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58,64,69,78,92,121,132,138,150],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[59],",":[60],"...,":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</sub>":[65],"S":[67],"<sup":[68],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c</sup>":[70],"(G).":[71],"We":[72],"show":[73],"that":[74,118],"each":[75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</sub>":[79,93,122,133,139,151],"is":[80],"pruned":[82],"medial":[83,128],"axis":[84,129],"for":[85,103,109,135],"certain":[87],"polygon":[89],"Q":[90,136],"closely":[94],"related":[95],"to":[96,154],"give":[99],"an":[100],"optimal":[101],"algorithm":[102],"computation":[104],"all":[106],"those":[107],"polygons,":[108],"1":[110],"les":[111,113],"i":[112],"k.":[114],"Here":[115],"\"pruned\"":[116],"means":[117],"obtained":[125],"from":[126],"M(Q":[130,148],")":[134,152],"appropriately":[141],"trimming":[142],"some":[143],"(if":[144],"any)":[145],"edges":[146],"incident":[153],"leaves":[156],"latter.":[159]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}