{"id":"https://openalex.org/W34649057","doi":null,"title":"Angular rigidity in 3D: combinatorial characterizations and algorithms.","display_name":"Angular rigidity in 3D: combinatorial characterizations and algorithms.","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W34649057","mag":"34649057"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.229.568","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.229.568","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cccg.ca/proceedings/2009/cccg09_18.pdf","raw_type":"text"},"volume":null,"type":"article","indexed_in":[],"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/A5063310610","display_name":"Audrey Lee-St. John","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I150693791","display_name":"Mount Holyoke College","ror":"https://ror.org/031z8pr38","country_code":"US","type":"education","lineage":["https://openalex.org/I150693791"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Audrey Lee-St. John","raw_affiliation_strings":["Mount Holyoke College, South Hadley, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mount Holyoke College, South Hadley, United States","institution_ids":["https://openalex.org/I150693791"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008565320","display_name":"Ileana Streinu","orcid":"https://orcid.org/0000-0003-2663-2615","observed_orcids":["https://orcid.org/0000-0003-2663-2615"]},"institutions":[{"id":"https://openalex.org/I202524275","display_name":"Smith College","ror":"https://ror.org/0497crr92","country_code":"US","type":"education","lineage":["https://openalex.org/I202524275"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ileana Streinu","raw_affiliation_strings":["Smith College, Northampton, United States"],"raw_orcid":"https://orcid.org/0000-0003-2663-2615","affiliations":[{"raw_affiliation_string":"Smith College, Northampton, United States","institution_ids":["https://openalex.org/I202524275"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5351,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.9233395,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"67","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.8184000253677368,"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":0.8184000253677368,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.05490000173449516,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.0142000000923872,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/combinatorial-characterization","display_name":"combinatorial characterization","score":0.7979999780654907},{"id":"https://openalex.org/keywords/angular-constraints","display_name":"angular constraints","score":0.7459999918937683},{"id":"https://openalex.org/keywords/rigid-body-mechanisms","display_name":"rigid body mechanisms","score":0.49300000071525574}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.6059807538986206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5627768635749817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4703148901462555},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3236650228500366},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.15339887142181396},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.07896038889884949}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.229.568","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.229.568","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cccg.ca/proceedings/2009/cccg09_18.pdf","raw_type":"text"},{"id":"mag:34649057","doi":null,"is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/conf/cccg/cccg2009.html#JohnS09","pdf_url":null,"source":{"id":"https://openalex.org/S4306417878","display_name":"Canadian Conference on Computational Geometry","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Canadian Conference on Computational Geometry","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2008453340","https://openalex.org/W2019646322","https://openalex.org/W2075046087","https://openalex.org/W2916343189","https://openalex.org/W7096238643","https://openalex.org/W7105514817","https://openalex.org/W2398015143","https://openalex.org/W2383083769","https://openalex.org/W7096579173","https://openalex.org/W2235485116"],"abstract_inverted_index":{"Constraint-based":[0],"CAD":[1],"software,":[2],"used":[3],"by":[4],"engineers":[5],"to":[6,81,109,136],"design":[7],"sophisticated":[8],"mechanical":[9],"systems,":[10],"relies":[11],"on":[12,24,92],"a":[13,34,93],"wide":[14],"range":[15,113],"of":[16,72,95,146],"geometrical":[17],"constraints.":[18],"In":[19],"this":[20,119],"paper":[21],"we":[22,54,148],"focus":[23],"one":[25],"special":[26],"case:":[27],"angular":[28,60,63,83,107],"constraints":[29,64,84,108],"in":[30,42,111],"3D.":[31],"We":[32,104],"give":[33],"complete":[35],"combinatorial":[36],"characterization":[37],"for":[38,58,102],"generic":[39],"minimal":[40],"rigidity":[41],"two":[43],"new":[44],"models:":[45],"lineplane-and-angle":[46],"and":[47,77,100,116],"body-and-angle":[48],"structures.":[49],"As":[50],"an":[51,127],"immediate":[52],"consequence,":[53],"obtain":[55],"efficient":[56],"algorithms":[57],"analyzing":[59],"rigidity.":[61],"pairwise":[62],"between":[65,87],"them.":[66],"A":[67],"body-andangle":[68],"structure":[69],"is":[70],"composed":[71],"rigid":[73],"bodies":[74],"with":[75],"lines":[76,89],"planes":[78,91],"rigidly":[79],"affixed":[80],"them;":[82],"are":[85],"placed":[86],"identified":[88],"or":[90],"pair":[94],"bodies.":[96],"See":[97],"Figures":[98],"1a":[99],"2a":[101],"examples.":[103],"restrict":[105],"the":[106,112,137,152],"lie":[110],"[0,":[114],"\u03c0]":[115],"remark":[117],"that":[118],"restriction":[120],"does":[121],"not":[122],"limit":[123],"our":[124],"model,":[125],"as":[126],"angle":[128,140],"\u03b1":[129],"larger":[130],"than":[131],"\u03c0":[132],"may":[133],"be":[134],"associated":[135],"\u201csmall":[138],"\u201d":[139],"2\u03c0":[141],"\u2212":[142],"\u03b1.":[143],"For":[144],"lack":[145],"space,":[147],"present":[149],"here":[150],"only":[151],"(0,":[153],"\u03c0)":[154],"case.":[155],"1":[156]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
