{"id":"https://openalex.org/W2001627548","doi":"https://doi.org/10.1177/02783640022067193","title":"Efficient Linear Unboundedness Testing: Algorithm and Applications to Translational Assembly Planning","display_name":"Efficient Linear Unboundedness Testing: Algorithm and Applications to Translational Assembly Planning","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W2001627548","doi":"https://doi.org/10.1177/02783640022067193","mag":"2001627548"},"language":"en","primary_location":{"id":"doi:10.1177/02783640022067193","is_oa":false,"landing_page_url":"https://doi.org/10.1177/02783640022067193","pdf_url":null,"source":{"id":"https://openalex.org/S73484101","display_name":"The International Journal of Robotics Research","issn_l":"0278-3649","issn":["0278-3649","1741-3176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Robotics Research","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/A5110223872","display_name":"Fabian Schwarzer","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Fabian Schwarzer","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111819402","display_name":"Achim Schweikard","orcid":null},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Achim Schweikard","raw_affiliation_strings":["Institut f\u00fcr Informatik, Technische Universit\u00e4t                         M\u00fcnchen, D-80290 M\u00fcnchen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Technische Universit\u00e4t                         M\u00fcnchen, D-80290 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016547705","display_name":"Leo Joskowicz","orcid":"https://orcid.org/0000-0002-3010-4770"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Leo Joskowicz","raw_affiliation_strings":["School of Computer Science and Engineering, The Hebrew University,                         Jerusalem 91904, Israel","School of Computer Science and Engineering, The Hebrew University Jerusalem, 91904, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, The Hebrew University,                         Jerusalem 91904, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"School of Computer Science and Engineering, The Hebrew University Jerusalem, 91904, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110223872"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0306,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76521933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":"9","first_page":"817","last_page":"834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T10653","display_name":"Robot Manipulation and Learning","score":0.998199999332428,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/algorithm","display_name":"Algorithm","score":0.6569635272026062},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6124552488327026},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5269154906272888},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5183842778205872},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4747374951839447},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.4567280411720276},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.41979265213012695},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25781944394111633},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18645703792572021},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.097373366355896}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6569635272026062},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6124552488327026},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5269154906272888},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5183842778205872},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4747374951839447},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.4567280411720276},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.41979265213012695},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25781944394111633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18645703792572021},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.097373366355896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/02783640022067193","is_oa":false,"landing_page_url":"https://doi.org/10.1177/02783640022067193","pdf_url":null,"source":{"id":"https://openalex.org/S73484101","display_name":"The International Journal of Robotics Research","issn_l":"0278-3649","issn":["0278-3649","1741-3176"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The International Journal of Robotics Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321950","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W66962300","https://openalex.org/W75403350","https://openalex.org/W101508493","https://openalex.org/W606724991","https://openalex.org/W1481903970","https://openalex.org/W1488092509","https://openalex.org/W1970063683","https://openalex.org/W1978870439","https://openalex.org/W1993028096","https://openalex.org/W1996296982","https://openalex.org/W2051680290","https://openalex.org/W2076680677","https://openalex.org/W2087890205","https://openalex.org/W2105132424","https://openalex.org/W2156153879","https://openalex.org/W2157590940","https://openalex.org/W2160743809","https://openalex.org/W2165996212","https://openalex.org/W2233798465","https://openalex.org/W2320652858","https://openalex.org/W2478030348","https://openalex.org/W2611147814","https://openalex.org/W4206730228","https://openalex.org/W4242811155","https://openalex.org/W4253351581"],"related_works":["https://openalex.org/W2032233321","https://openalex.org/W4234874385","https://openalex.org/W3121970507","https://openalex.org/W2110028391","https://openalex.org/W54497855","https://openalex.org/W217960748","https://openalex.org/W3125814499","https://openalex.org/W2090827041","https://openalex.org/W2323648130","https://openalex.org/W187246281"],"abstract_inverted_index":{"We":[0,17,41,68,82],"address":[1],"the":[2,24,61,84,113,135,152,155],"problem":[3],"of":[4,32,86,101,110,140,146,154],"efficiently":[5],"testing":[6,44,92,126],"for":[7,45,73,98],"linear":[8,38,80],"unboundedness":[9,46,91,125],"and":[10,65,93,127,148],"its":[11],"applications":[12],"to":[13,90,132],"translational":[14,75,115],"assembly":[15,76,88,100],"planning.":[16],"describe":[18],"a":[19,28,36,71,95,120,128,144],"new":[20,58,121],"algorithm":[21,59,64,97,122],"that":[22,43,123],"performs":[23],"test":[25],"by":[26,35],"solving":[27],"single":[29,37],"homogeneous":[30],"system":[31],"equations":[33],"followed":[34],"feasibility":[39],"test.":[40],"show":[42,83],"is":[47,60,66],"computationally":[48],"at":[49],"least":[50],"as":[51,53],"hard":[52],"these":[54],"two":[55],"subproblems.":[56],"The":[57],"fastest":[62],"known":[63],"practical.":[67],"then":[69],"present":[70,94,119],"framework":[72],"general":[74,114],"planning":[77,89],"based":[78],"on":[79,143],"constraints.":[81],"relation":[85],"m-handed":[87,99],"polynomial-time":[96],"polygonal":[102],"part":[103],"assemblies":[104,150],"with":[105],"no":[106],"initially":[107],"separated":[108],"pairs":[109],"parts.":[111],"For":[112],"assembly\u2013planning":[116],"problem,":[117],"we":[118],"uses":[124],"cell":[129],"reduction":[130],"technique":[131],"significantly":[133],"increase":[134],"search":[136],"efficiency.":[137],"Experimental":[138],"results":[139],"our":[141],"implementation":[142],"variety":[145],"planar":[147],"spatial":[149],"demonstrate":[151],"practicality":[153],"algorithms.":[156]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}