{"id":"https://openalex.org/W1993827762","doi":"https://doi.org/10.1142/s0218654306000858","title":"SWEPT VOLUMES: FUNDATION, PERSPECTIVES, AND APPLICATIONS","display_name":"SWEPT VOLUMES: FUNDATION, PERSPECTIVES, AND APPLICATIONS","publication_year":2006,"publication_date":"2006-06-01","ids":{"openalex":"https://openalex.org/W1993827762","doi":"https://doi.org/10.1142/s0218654306000858","mag":"1993827762"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654306000858","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654306000858","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-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/A5111863602","display_name":"Karim Abdel\u2010Malek","orcid":null},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"KARIM ABDEL-MALEK","raw_affiliation_strings":["University of Iowa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Iowa","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054246503","display_name":"James Yang","orcid":"https://orcid.org/0000-0003-0842-7933"},"institutions":[{"id":"https://openalex.org/I126307644","display_name":"University of Iowa","ror":"https://ror.org/036jqmy94","country_code":"US","type":"education","lineage":["https://openalex.org/I126307644"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"JINGZHOU YANG","raw_affiliation_strings":["University of Iowa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Iowa","institution_ids":["https://openalex.org/I126307644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003281118","display_name":"Denis Blackmore","orcid":"https://orcid.org/0000-0003-3524-9538"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"DENIS BLACKMORE","raw_affiliation_strings":["Mathematical Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Sciences","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080591014","display_name":"Ken Joy","orcid":null},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"KEN JOY","raw_affiliation_strings":["University Of California at Davis#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Of California at Davis#TAB#","institution_ids":["https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111863602"],"corresponding_institution_ids":["https://openalex.org/I126307644"],"apc_list":null,"apc_paid":null,"fwci":13.1639,"has_fulltext":false,"cited_by_count":112,"citation_normalized_percentile":{"value":0.99283836,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"12","issue":"01","first_page":"87","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9987999796867371,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9983000159263611,"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/geography","display_name":"Geography","score":0.39662718772888184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36391639709472656}],"concepts":[{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.39662718772888184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36391639709472656}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218654306000858","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654306000858","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":129,"referenced_works":["https://openalex.org/W233031762","https://openalex.org/W574138344","https://openalex.org/W623410891","https://openalex.org/W1176150051","https://openalex.org/W1542882926","https://openalex.org/W1551207461","https://openalex.org/W1562394564","https://openalex.org/W1566889779","https://openalex.org/W1580721282","https://openalex.org/W1587114520","https://openalex.org/W1620863146","https://openalex.org/W1673897700","https://openalex.org/W1737718001","https://openalex.org/W1812103412","https://openalex.org/W1873569409","https://openalex.org/W1964528971","https://openalex.org/W1964603875","https://openalex.org/W1965197260","https://openalex.org/W1969115829","https://openalex.org/W1974081099","https://openalex.org/W1975217780","https://openalex.org/W1983103208","https://openalex.org/W1984926837","https://openalex.org/W1986586560","https://openalex.org/W1989166757","https://openalex.org/W1992138029","https://openalex.org/W1993517213","https://openalex.org/W1995914058","https://openalex.org/W1998207189","https://openalex.org/W2001594395","https://openalex.org/W2002983110","https://openalex.org/W2004882366","https://openalex.org/W2005592023","https://openalex.org/W2006143395","https://openalex.org/W2008235133","https://openalex.org/W2012594544","https://openalex.org/W2014756155","https://openalex.org/W2015805095","https://openalex.org/W2017258466","https://openalex.org/W2017287831","https://openalex.org/W2018850218","https://openalex.org/W2019230658","https://openalex.org/W2020927269","https://openalex.org/W2021837716","https://openalex.org/W2021856779","https://openalex.org/W2023389111","https://openalex.org/W2026082049","https://openalex.org/W2026245692","https://openalex.org/W2026914028","https://openalex.org/W2027363077","https://openalex.org/W2028784886","https://openalex.org/W2032776624","https://openalex.org/W2033793158","https://openalex.org/W2034789070","https://openalex.org/W2036710381","https://openalex.org/W2041180141","https://openalex.org/W2042645466","https://openalex.org/W2043152949","https://openalex.org/W2046773931","https://openalex.org/W2052968649","https://openalex.org/W2053482006","https://openalex.org/W2054674907","https://openalex.org/W2058160525","https://openalex.org/W2059772355","https://openalex.org/W2064044318","https://openalex.org/W2071083024","https://openalex.org/W2075296257","https://openalex.org/W2077037872","https://openalex.org/W2077300488","https://openalex.org/W2077577730","https://openalex.org/W2077774179","https://openalex.org/W2078997359","https://openalex.org/W2079694260","https://openalex.org/W2081090547","https://openalex.org/W2081200682","https://openalex.org/W2092272609","https://openalex.org/W2094799378","https://openalex.org/W2095555077","https://openalex.org/W2095570239","https://openalex.org/W2096619076","https://openalex.org/W2097414827","https://openalex.org/W2099901570","https://openalex.org/W2104521818","https://openalex.org/W2107672468","https://openalex.org/W2109514082","https://openalex.org/W2109808056","https://openalex.org/W2114034379","https://openalex.org/W2118821011","https://openalex.org/W2121752747","https://openalex.org/W2123775887","https://openalex.org/W2126358534","https://openalex.org/W2131141154","https://openalex.org/W2133379863","https://openalex.org/W2138178329","https://openalex.org/W2139087592","https://openalex.org/W2139539458","https://openalex.org/W2144790488","https://openalex.org/W2146475250","https://openalex.org/W2147878711","https://openalex.org/W2148387916","https://openalex.org/W2148659518","https://openalex.org/W2148882463","https://openalex.org/W2151739386","https://openalex.org/W2151964722","https://openalex.org/W2152600964","https://openalex.org/W2154430926","https://openalex.org/W2154782499","https://openalex.org/W2156518314","https://openalex.org/W2157675657","https://openalex.org/W2161214141","https://openalex.org/W2161252059","https://openalex.org/W2164998960","https://openalex.org/W2166334808","https://openalex.org/W2166942122","https://openalex.org/W2167305858","https://openalex.org/W2172262622","https://openalex.org/W2209427455","https://openalex.org/W2229412420","https://openalex.org/W2252847759","https://openalex.org/W2316328355","https://openalex.org/W2329261920","https://openalex.org/W2588314110","https://openalex.org/W3139027662","https://openalex.org/W3155365425","https://openalex.org/W3157399040","https://openalex.org/W3157948434","https://openalex.org/W4234992352","https://openalex.org/W4250676490","https://openalex.org/W4315567101"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880","https://openalex.org/W1596801655","https://openalex.org/W2359140296"],"abstract_inverted_index":{"A":[0],"survey":[1],"of":[2,64,70,75,83,92,100],"swept":[3,76],"volume":[4],"concepts":[5],"and":[6,12,17,48,62,72,106],"methods":[7,20,87],"is":[8,54,108],"presented.":[9],"It":[10],"consolidates":[11],"relates":[13],"seemingly":[14,94],"different":[15,68],"terminology":[16],"methods.":[18,52],"The":[19,81,90],"are":[21,88],"divided":[22],"into":[23],"five":[24],"major":[25],"categories:":[26],"method":[27,31,41],"with":[28,32,42],"envelope":[29,37],"theory,":[30],"sweep":[33],"differential":[34,38],"equation":[35,39],"(SDE)/sweep":[36],"(SEDE),":[40],"Jacobian":[43],"rank":[44],"deficiency,":[45],"Voxel-based":[46],"method,":[47],"free-form":[49],"solids'":[50],"sweeping":[51],"Commentary":[53],"provided":[55],"on":[56],"three":[57],"fronts,":[58],"concerning":[59],"the":[60,67,73,84,98,114],"advantages":[61],"pitfalls":[63],"individual":[65],"methods,":[66,71],"classes":[69],"field":[74],"volumes":[77],"as":[78],"a":[79],"whole.":[80],"characteristics":[82],"most":[85],"significant":[86],"summarized.":[89],"applicability":[91],"this":[93],"simple":[95],"formulation":[96],"to":[97],"fields":[99],"solid":[101],"modeling,":[102],"robotics,":[103],"manufacturing":[104],"automation,":[105],"visualization":[107],"demonstrated":[109],"through":[110],"results":[111],"reported":[112],"by":[113],"authors,":[115],"each":[116],"in":[117],"their":[118],"own":[119],"field.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":12}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
