{"id":"https://openalex.org/W2094818331","doi":"https://doi.org/10.1109/cdc.2013.6760035","title":"Voronoi cells in lie groups and coset decompositions: Implications for optimization, integration, and fourier analysis","display_name":"Voronoi cells in lie groups and coset decompositions: Implications for optimization, integration, and fourier analysis","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2094818331","doi":"https://doi.org/10.1109/cdc.2013.6760035","mag":"2094818331"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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/A5100395052","display_name":"Yan Yan","orcid":"https://orcid.org/0000-0002-2439-5276"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yan Yan","raw_affiliation_strings":["Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA","Dept. of Mech. Eng., Johns Hopkins Univ., Baltimore, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Johns Hopkins Univ., Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012775344","display_name":"Gregory S. Chirikjian","orcid":"https://orcid.org/0000-0003-0542-9028"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gregory Chirikjian","raw_affiliation_strings":["Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA","Dept. of Mech. Eng., Johns Hopkins Univ., Baltimore, MD, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]},{"raw_affiliation_string":"Dept. of Mech. Eng., Johns Hopkins Univ., Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":0.2288,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.50367218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"10","issue":null,"first_page":"1137","last_page":"1143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9799000024795532,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9433000087738037,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9253000020980835,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.7178914546966553},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.6598723530769348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6512807607650757},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.603312075138092},{"id":"https://openalex.org/keywords/dihedral-group","display_name":"Dihedral group","score":0.5855372548103333},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.46624723076820374},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.45908015966415405},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.4503801763057709},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.435139536857605},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4096723198890686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35023972392082214},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3345399796962738},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20030564069747925},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1006259024143219},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0893329381942749}],"concepts":[{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.7178914546966553},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.6598723530769348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6512807607650757},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.603312075138092},{"id":"https://openalex.org/C72409365","wikidata":"https://www.wikidata.org/wiki/Q558339","display_name":"Dihedral group","level":3,"score":0.5855372548103333},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.46624723076820374},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.45908015966415405},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.4503801763057709},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.435139536857605},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4096723198890686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35023972392082214},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3345399796962738},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20030564069747925},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1006259024143219},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0893329381942749},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760035","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W52174932","https://openalex.org/W57077127","https://openalex.org/W64907152","https://openalex.org/W1551735658","https://openalex.org/W1965499191","https://openalex.org/W1969076643","https://openalex.org/W1970208847","https://openalex.org/W1975611886","https://openalex.org/W1985159436","https://openalex.org/W1986583619","https://openalex.org/W1986655361","https://openalex.org/W1987499760","https://openalex.org/W1997148801","https://openalex.org/W1999746931","https://openalex.org/W2041178510","https://openalex.org/W2041277461","https://openalex.org/W2056653204","https://openalex.org/W2057285417","https://openalex.org/W2058066805","https://openalex.org/W2064936877","https://openalex.org/W2092763709","https://openalex.org/W2107557597","https://openalex.org/W2118620951","https://openalex.org/W2125691646","https://openalex.org/W2129358707","https://openalex.org/W2144707556","https://openalex.org/W2146080841","https://openalex.org/W2154152083","https://openalex.org/W2162186565","https://openalex.org/W2261974308","https://openalex.org/W2746245458","https://openalex.org/W3098709478","https://openalex.org/W3122956633","https://openalex.org/W4205293427","https://openalex.org/W4213223317","https://openalex.org/W4292408540","https://openalex.org/W4301059572"],"related_works":["https://openalex.org/W3020555194","https://openalex.org/W1580087386","https://openalex.org/W1568983004","https://openalex.org/W2053226561","https://openalex.org/W2171389569","https://openalex.org/W3159072379","https://openalex.org/W3176269570","https://openalex.org/W2171692676","https://openalex.org/W1897057659","https://openalex.org/W1997560792"],"abstract_inverted_index":{"The":[0],"rotation":[1,16],"group":[2,6],"and":[3,25,95,123,130,145],"special":[4,31],"Euclidean":[5,32],"both":[7],"contain":[8],"discrete":[9,35,59],"subgroups.":[10],"In":[11,70],"the":[12,15,21,27,30,34,38,44,92,105,139,150],"case":[13,28],"of":[14,29,46,48,55,109,141,152],"group,":[17,33],"these":[18,49,79,110,121,134],"subgroups":[19,36,60],"are":[20,37,66,147],"chiral":[22,39],"point":[23],"groups,":[24],"in":[26,62,104,127,149],"crystallographic":[40],"space":[41],"groups.":[42,107,135],"Taking":[43],"quotients":[45],"either":[47],"two":[50],"Lie":[51],"groups":[52,111],"by":[53,81],"any":[54],"their":[56,125],"respective":[57],"co-compact":[58],"results":[61],"coset":[63],"spaces":[64],"that":[65],"compact":[67],"orientable":[68],"manifolds.":[69],"this":[71,153],"paper":[72],"we":[73],"develop":[74],"methods":[75],"for":[76],"sampling":[77],"on":[78,133],"manifolds":[80],"partitioning":[82],"them":[83],"further":[84],"using":[85],"double-coset":[86,96],"decompositions.":[87],"Fundamental":[88],"domains":[89],"associated":[90],"with":[91],"aforementioned":[93],"coset-":[94],"decompositions":[97],"can":[98],"be":[99],"defined":[100],"as":[101],"Voronoi":[102,113],"cells":[103,114,122],"original":[106],"Division":[108],"into":[112],"facilitates":[115],"almost-uniform":[116],"sampling.":[117],"We":[118],"explicitly":[119],"compute":[120],"illustrate":[124],"use":[126],"optimization,":[128],"integration,":[129],"Fourier":[131],"analysis":[132],"Motivating":[136],"applications":[137],"from":[138],"fields":[140],"protein":[142],"crystallography,":[143],"robotics,":[144],"control":[146],"reviewed":[148],"context":[151],"theory.":[154]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}