{"id":"https://openalex.org/W2019646322","doi":"https://doi.org/10.1145/1529282.1529530","title":"Body-and-cad geometric constraint systems","display_name":"Body-and-cad geometric constraint systems","publication_year":2009,"publication_date":"2009-03-08","ids":{"openalex":"https://openalex.org/W2019646322","doi":"https://doi.org/10.1145/1529282.1529530","mag":"2019646322"},"language":"en","primary_location":{"id":"doi:10.1145/1529282.1529530","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1529282.1529530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM symposium on Applied Computing","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/A5075876507","display_name":"Kirk Haller","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kirk Haller","raw_affiliation_strings":["SolidWorks Corporation, Concord, MA"],"affiliations":[{"raw_affiliation_string":"SolidWorks Corporation, Concord, MA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063310610","display_name":"Audrey Lee-St. John","orcid":null},"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, MA"],"affiliations":[{"raw_affiliation_string":"Mount Holyoke College, South Hadley, MA","institution_ids":["https://openalex.org/I150693791"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089647969","display_name":"Meera Sitharam","orcid":"https://orcid.org/0000-0003-1031-1403"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Meera Sitharam","raw_affiliation_strings":["University of Florida, Gainesville, FL"],"affiliations":[{"raw_affiliation_string":"University of Florida, Gainesville, FL","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008565320","display_name":"Ileana Streinu","orcid":"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, MA","Smith College, Northampton, MA,"],"affiliations":[{"raw_affiliation_string":"Smith College, Northampton, MA","institution_ids":["https://openalex.org/I202524275"]},{"raw_affiliation_string":"Smith College, Northampton, MA,","institution_ids":["https://openalex.org/I202524275"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111697807","display_name":"Neil White","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Neil White","raw_affiliation_strings":["University of Florida, Gainesville, FL"],"affiliations":[{"raw_affiliation_string":"University of Florida, Gainesville, FL","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5075876507"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.83175699,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85939957,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1127","last_page":"1131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11870","display_name":"Structural Analysis and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9973999857902527,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/cad","display_name":"CAD","score":0.7980282306671143},{"id":"https://openalex.org/keywords/infinitesimal","display_name":"Infinitesimal","score":0.7825700044631958},{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.7754878997802734},{"id":"https://openalex.org/keywords/structural-rigidity","display_name":"Structural rigidity","score":0.5960192084312439},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5916529893875122},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.47403860092163086},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44706445932388306},{"id":"https://openalex.org/keywords/coincidence","display_name":"Coincidence","score":0.4275876581668854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4168443977832794},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3558866083621979},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.30889788269996643},{"id":"https://openalex.org/keywords/engineering-drawing","display_name":"Engineering drawing","score":0.23961946368217468},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2229369878768921},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1744152307510376},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15542441606521606},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.1463460922241211}],"concepts":[{"id":"https://openalex.org/C194789388","wikidata":"https://www.wikidata.org/wiki/Q17855283","display_name":"CAD","level":2,"score":0.7980282306671143},{"id":"https://openalex.org/C91229774","wikidata":"https://www.wikidata.org/wiki/Q193885","display_name":"Infinitesimal","level":2,"score":0.7825700044631958},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7754878997802734},{"id":"https://openalex.org/C155759531","wikidata":"https://www.wikidata.org/wiki/Q7625050","display_name":"Structural rigidity","level":2,"score":0.5960192084312439},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5916529893875122},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.47403860092163086},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44706445932388306},{"id":"https://openalex.org/C2779832538","wikidata":"https://www.wikidata.org/wiki/Q2308809","display_name":"Coincidence","level":3,"score":0.4275876581668854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4168443977832794},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3558866083621979},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.30889788269996643},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.23961946368217468},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2229369878768921},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1744152307510376},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15542441606521606},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.1463460922241211},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1529282.1529530","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1529282.1529530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM symposium on Applied Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5729303398","display_name":null,"funder_award_id":"CCF-0728783","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W34649057","https://openalex.org/W56131285","https://openalex.org/W1485633210","https://openalex.org/W1530933630","https://openalex.org/W1559136395","https://openalex.org/W1566463023","https://openalex.org/W1578861052","https://openalex.org/W1590975346","https://openalex.org/W1604670826","https://openalex.org/W1945321040","https://openalex.org/W1986202845","https://openalex.org/W2001175168","https://openalex.org/W2004657862","https://openalex.org/W2023810039","https://openalex.org/W2045536599","https://openalex.org/W2045768640","https://openalex.org/W2047528968","https://openalex.org/W2061263184","https://openalex.org/W2061803500","https://openalex.org/W2068418846","https://openalex.org/W2069308938","https://openalex.org/W2075046087","https://openalex.org/W2088869877","https://openalex.org/W2099481161","https://openalex.org/W2106989814","https://openalex.org/W2109485737","https://openalex.org/W2110205709","https://openalex.org/W2130747331","https://openalex.org/W2139834426","https://openalex.org/W2152273360","https://openalex.org/W2185606642","https://openalex.org/W2503209748","https://openalex.org/W2579095637","https://openalex.org/W2963168185","https://openalex.org/W4213292180","https://openalex.org/W4251345737","https://openalex.org/W4251519580","https://openalex.org/W6635239264"],"related_works":["https://openalex.org/W4294201350","https://openalex.org/W1827844156","https://openalex.org/W2068360468","https://openalex.org/W2117531509","https://openalex.org/W4281491244","https://openalex.org/W1501657243","https://openalex.org/W2599583908","https://openalex.org/W4302569442","https://openalex.org/W2948176890","https://openalex.org/W2949837591"],"abstract_inverted_index":{"Motivated":[0],"by":[1,28],"constraint-based":[2],"CAD":[3],"software,":[4],"we":[5,74],"develop":[6,42],"the":[7,10,18,43,98],"foundation":[8],"for":[9,48,84],"rigidity":[11,46,54,86],"theory":[12,47],"of":[13,22,87,97,102],"a":[14,60,72,76,94],"very":[15],"general":[16],"model:":[17],"body-and-cad":[19,61,88],"structure,":[20],"composed":[21],"rigid":[23],"bodies":[24],"in":[25],"3D":[26],"constrained":[27],"pairwise":[29],"coincidence,":[30],"angle":[31],"and":[32,41],"distance":[33],"constraints.":[34],"We":[35],"identify":[36,75],"21":[37],"relevant":[38],"geometric":[39],"constraints":[40],"corresponding":[44],"infinitesimal":[45],"these":[49],"structures.":[50],"The":[51],"classical":[52],"body-and-bar":[53],"model":[55],"can":[56],"be":[57],"viewed":[58],"as":[59],"structure":[62],"that":[63],"uses":[64],"only":[65],"one":[66],"constraint":[67],"from":[68],"this":[69],"new":[70],"class.As":[71],"consequence,":[73],"new,":[77],"necessary":[78],"but":[79],"not":[80],"sufficient,":[81],"counting":[82],"condition":[83,101],"minimal":[85],"structures:":[89],"nested":[90],"sparsity.":[91],"This":[92],"is":[93],"slight":[95],"generalization":[96],"well-known":[99],"sparsity":[100],"Maxwell.":[103]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}