{"id":"https://openalex.org/W2142097837","doi":"https://doi.org/10.1109/robot.2002.1014402","title":"On the discrete symmetric localization problem","display_name":"On the discrete symmetric localization problem","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2142097837","doi":"https://doi.org/10.1109/robot.2002.1014402","mag":"2142097837"},"language":"en","primary_location":{"id":"doi:10.1109/robot.2002.1014402","is_oa":false,"landing_page_url":"https://doi.org/10.1109/robot.2002.1014402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5036757330","display_name":"Zhenhua Xiong","orcid":"https://orcid.org/0000-0001-6046-3101"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Z.H. Xiong","raw_affiliation_strings":["Departmentof EEE, Hong Kong University of Science and Technology, China","Dept.of Electron. & Electr. Eng., Hong Kong Univ. of Sci. & Technol., China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmentof EEE, Hong Kong University of Science and Technology, China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Dept.of Electron. & Electr. Eng., Hong Kong Univ. of Sci. & Technol., China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100784553","display_name":"Zexiang Li","orcid":"https://orcid.org/0000-0002-7920-6436"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Z.X. Li","raw_affiliation_strings":["Departmentof EEE, Hong Kong University of Science and Technology, China","Dept.of Electron. & Electr. Eng., Hong Kong Univ. of Sci. & Technol., China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmentof EEE, Hong Kong University of Science and Technology, China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]},{"raw_affiliation_string":"Dept.of Electron. & Electr. Eng., Hong Kong Univ. of Sci. & Technol., China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"4161","last_page":"4166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12111","display_name":"Industrial Vision Systems and Defect Detection","score":0.9969000220298767,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.6781874895095825},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6607648134231567},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5966055393218994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5296502113342285},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.495456337928772},{"id":"https://openalex.org/keywords/automation","display_name":"Automation","score":0.4924105405807495},{"id":"https://openalex.org/keywords/symmetric-function","display_name":"Symmetric function","score":0.4375265836715698},{"id":"https://openalex.org/keywords/ring-of-symmetric-functions","display_name":"Ring of symmetric functions","score":0.42250627279281616},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3472898006439209},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34689751267433167},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34611815214157104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34526413679122925},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23235318064689636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1788930892944336},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16744866967201233},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13303494453430176},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11450129747390747}],"concepts":[{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.6781874895095825},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6607648134231567},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5966055393218994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5296502113342285},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.495456337928772},{"id":"https://openalex.org/C115901376","wikidata":"https://www.wikidata.org/wiki/Q184199","display_name":"Automation","level":2,"score":0.4924105405807495},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.4375265836715698},{"id":"https://openalex.org/C156903151","wikidata":"https://www.wikidata.org/wiki/Q17102788","display_name":"Ring of symmetric functions","level":4,"score":0.42250627279281616},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3472898006439209},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34689751267433167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34611815214157104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34526413679122925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23235318064689636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1788930892944336},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16744866967201233},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13303494453430176},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11450129747390747},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/robot.2002.1014402","is_oa":false,"landing_page_url":"https://doi.org/10.1109/robot.2002.1014402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.4399999976158142,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1485885588","https://openalex.org/W1494500960","https://openalex.org/W1564897360","https://openalex.org/W1572902374","https://openalex.org/W1996871887","https://openalex.org/W2004236404","https://openalex.org/W2009132604","https://openalex.org/W2061051557","https://openalex.org/W2075552785","https://openalex.org/W2104206904","https://openalex.org/W2116582281","https://openalex.org/W2127893928","https://openalex.org/W2168265660","https://openalex.org/W2169612639","https://openalex.org/W3217246742","https://openalex.org/W4210801347","https://openalex.org/W4237377088"],"related_works":["https://openalex.org/W2949072321","https://openalex.org/W4242560508","https://openalex.org/W2028338466","https://openalex.org/W185699555","https://openalex.org/W4282813460","https://openalex.org/W2062645682","https://openalex.org/W2950518419","https://openalex.org/W2010067893","https://openalex.org/W3013709019","https://openalex.org/W1995202720"],"abstract_inverted_index":{"Workpiece":[0],"localization":[1,9,93],"has":[2],"many":[3,17],"applications":[4],"in":[5,14,21,32],"manufacturing":[6],"automation.":[7],"Symmetric":[8],"plays":[10],"an":[11],"important":[12],"role":[13],"it,":[15],"since":[16],"commonly":[18],"used":[19],"features":[20,75],"engineering":[22],"design":[23],"are":[24,98],"symmetric.":[25],"We":[26,35],"discuss":[27],"some":[28,73],"new":[29],"found":[30,57],"problems":[31],"symmetric":[33,66,74,92],"localization.":[34],"find":[36,71],"that":[37,51,72],"multiple":[38],"solutions":[39],"exist":[40],"even":[41],"for":[42,46,65],"localizing":[43],"a":[44,52],"cube,":[45],"which":[47],"it":[48],"was":[49],"known":[50,81],"unique":[53],"solution":[54],"should":[55],"be":[56],"before.":[58,82],"Then,":[59],"we":[60,70],"re-explore":[61],"the":[62,86,89,102],"symmetry":[63],"subspaces":[64],"features.":[67],"After":[68],"that,":[69],"have":[76],"different":[77],"configuration":[78],"spaces":[79],"as":[80],"This":[83],"is":[84],"actually":[85],"cause":[87],"of":[88],"problem.":[90],"A":[91],"algorithm":[94],"and":[95],"simulation":[96],"results":[97],"given":[99],"to":[100],"fix":[101],"existing":[103],"problems.":[104]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
