{"id":"https://openalex.org/W3212636586","doi":"https://doi.org/10.1109/mfi52462.2021.9591164","title":"Bingham-Gaussian Distribution on $\\mathbb{S}^{3}\\times \\mathbb{R}^{n}$ for Unscented Attitude Estimation","display_name":"Bingham-Gaussian Distribution on $\\mathbb{S}^{3}\\times \\mathbb{R}^{n}$ for Unscented Attitude Estimation","publication_year":2021,"publication_date":"2021-09-23","ids":{"openalex":"https://openalex.org/W3212636586","doi":"https://doi.org/10.1109/mfi52462.2021.9591164","mag":"3212636586"},"language":"en","primary_location":{"id":"doi:10.1109/mfi52462.2021.9591164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mfi52462.2021.9591164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI)","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/A5101468244","display_name":"Weixin Wang","orcid":"https://orcid.org/0000-0001-9008-9990"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weixin Wang","raw_affiliation_strings":["The George Washington University,Department of Mechanical and Aerospace Engineering,Washington DC,USA"],"affiliations":[{"raw_affiliation_string":"The George Washington University,Department of Mechanical and Aerospace Engineering,Washington DC,USA","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020132536","display_name":"Taeyoung Lee","orcid":"https://orcid.org/0000-0003-4982-4150"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Taeyoung Lee","raw_affiliation_strings":["The George Washington University,Department of Mechanical and Aerospace Engineering,Washington DC,USA"],"affiliations":[{"raw_affiliation_string":"The George Washington University,Department of Mechanical and Aerospace Engineering,Washington DC,USA","institution_ids":["https://openalex.org/I193531525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101468244"],"corresponding_institution_ids":["https://openalex.org/I193531525"],"apc_list":null,"apc_paid":null,"fwci":0.34,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74678207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.9998000264167786,"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9998000264167786,"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/T11405","display_name":"Geophysics and Gravity Measurements","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1910","display_name":"Oceanography"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.8034350872039795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5515381097793579},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5280317068099976},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.5213802456855774},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.4789488911628723},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4774937331676483},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4692426025867462},{"id":"https://openalex.org/keywords/rotation-matrix","display_name":"Rotation matrix","score":0.4243197441101074},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.41482454538345337},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3062797784805298},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2888565957546234},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2623041272163391},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18292516469955444},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11557474732398987},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09445983171463013},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.07918843626976013}],"concepts":[{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.8034350872039795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5515381097793579},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5280317068099976},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.5213802456855774},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.4789488911628723},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4774937331676483},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4692426025867462},{"id":"https://openalex.org/C83633838","wikidata":"https://www.wikidata.org/wiki/Q1256564","display_name":"Rotation matrix","level":2,"score":0.4243197441101074},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.41482454538345337},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3062797784805298},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2888565957546234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2623041272163391},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18292516469955444},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11557474732398987},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09445983171463013},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.07918843626976013},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mfi52462.2021.9591164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mfi52462.2021.9591164","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3617189763","display_name":null,"funder_award_id":"FA9550-18-1-0288","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8882971006","display_name":null,"funder_award_id":"CNS-1837382","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1998338226","https://openalex.org/W2035868186","https://openalex.org/W2070216603","https://openalex.org/W2117102490","https://openalex.org/W2117730228","https://openalex.org/W2332793778","https://openalex.org/W2338482967","https://openalex.org/W2339082909","https://openalex.org/W2760568036","https://openalex.org/W2762561755","https://openalex.org/W2768018028","https://openalex.org/W2904862921","https://openalex.org/W2905459315","https://openalex.org/W2918192226","https://openalex.org/W2964787017","https://openalex.org/W3010997318","https://openalex.org/W3101888464","https://openalex.org/W3102917240","https://openalex.org/W4231784839","https://openalex.org/W4254955164","https://openalex.org/W4285719527","https://openalex.org/W6745491468","https://openalex.org/W6745830181","https://openalex.org/W6759526772","https://openalex.org/W6774410754"],"related_works":["https://openalex.org/W2388930076","https://openalex.org/W2091132606","https://openalex.org/W2511668269","https://openalex.org/W2106549822","https://openalex.org/W2348328811","https://openalex.org/W1544024058","https://openalex.org/W2074615279","https://openalex.org/W4320038180","https://openalex.org/W1490500322","https://openalex.org/W4220867898"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"the":[5,11,15,18,30,35,41,52,55,58,72,76,85,100,112],"Bingham-Gaussian":[6],"(BG)":[7],"distribution":[8,33],"defined":[9],"on":[10,96],"Cartesian":[12],"product":[13],"of":[14,21,75],"three-sphere":[16],"and":[17,40,57,67,102],"Euclidean":[19,59],"space":[20,60,77],"an":[22],"arbitrary":[23],"dimension.":[24],"BG":[25,46,97],"is":[26,81,87,93,109],"constructed":[27],"by":[28],"transforming":[29],"matrix":[31],"Fisher-Gaussian":[32],"using":[34,117],"homomorphism":[36],"between":[37,54],"unit":[38],"quaternions":[39],"three":[42],"dimensional":[43],"rotation":[44],"group.":[45],"can":[47],"be":[48],"used":[49],"to":[50],"model":[51],"correlation":[53],"attitude":[56,91,101],"in":[61],"a":[62],"global":[63],"fashion":[64],"without":[65],"singularities,":[66],"it":[68],"properly":[69],"deals":[70],"with":[71],"cyclic":[73],"nature":[74],"representing":[78],"attitude,":[79],"which":[80,98],"particularly":[82],"advantageous":[83],"when":[84],"uncertainty":[86],"large.":[88],"An":[89],"unscented":[90],"filter":[92,108,116],"designed":[94],"based":[95],"estimates":[99],"gyroscope":[103],"bias":[104],"concurrently.":[105],"The":[106],"proposed":[107],"compared":[110],"against":[111],"conventional":[113],"extended":[114],"Kalman":[115],"numerical":[118],"simulations.":[119]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}