{"id":"https://openalex.org/W4390045025","doi":"https://doi.org/10.1109/sdf-mfi59545.2023.10361360","title":"On Visualisation of Linear Estimation and Fusion: From Equations to Ellipses","display_name":"On Visualisation of Linear Estimation and Fusion: From Equations to Ellipses","publication_year":2023,"publication_date":"2023-11-27","ids":{"openalex":"https://openalex.org/W4390045025","doi":"https://doi.org/10.1109/sdf-mfi59545.2023.10361360"},"language":"en","primary_location":{"id":"doi:10.1109/sdf-mfi59545.2023.10361360","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/sdf-mfi59545.2023.10361360","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE Symposium Sensor Data Fusion and International Conference on Multisensor Fusion and Integration (SDF-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/A5073230263","display_name":"Ji\u0159\u00ed Ajgl","orcid":"https://orcid.org/0000-0001-7863-9697"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia in Pilsen","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"education","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ji\u0159\u00ed Ajgl","raw_affiliation_strings":["University of West Bohemia,Faculty of Applied Sciences,European Centre of Excellence &#x2013; New Technologies for Information Society and Department of Cybernetics,Pilsen,Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of West Bohemia,Faculty of Applied Sciences,European Centre of Excellence &#x2013; New Technologies for Information Society and Department of Cybernetics,Pilsen,Czech Republic","institution_ids":["https://openalex.org/I92715842"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024372115","display_name":"Ond\u0159ej Straka","orcid":"https://orcid.org/0000-0003-3066-5882"},"institutions":[{"id":"https://openalex.org/I92715842","display_name":"University of West Bohemia in Pilsen","ror":"https://ror.org/040t43x18","country_code":"CZ","type":"education","lineage":["https://openalex.org/I92715842"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Ond\u0159ej Straka","raw_affiliation_strings":["University of West Bohemia,Faculty of Applied Sciences,European Centre of Excellence &#x2013; New Technologies for Information Society and Department of Cybernetics,Pilsen,Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of West Bohemia,Faculty of Applied Sciences,European Centre of Excellence &#x2013; New Technologies for Information Society and Department of Cybernetics,Pilsen,Czech Republic","institution_ids":["https://openalex.org/I92715842"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4956,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62975736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9747999906539917,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9556999802589417,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.9198766946792603},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.6333812475204468},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.6257030367851257},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.6170672178268433},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5717241168022156},{"id":"https://openalex.org/keywords/algebraic-expression","display_name":"Algebraic expression","score":0.47231289744377136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46700796484947205},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44221609830856323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4324200749397278},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.41014936566352844},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.40193355083465576},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3670205771923065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3567497134208679},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3381093740463257},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21000364422798157},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18179383873939514}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.9198766946792603},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.6333812475204468},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.6257030367851257},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.6170672178268433},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5717241168022156},{"id":"https://openalex.org/C18912844","wikidata":"https://www.wikidata.org/wiki/Q4724001","display_name":"Algebraic expression","level":3,"score":0.47231289744377136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46700796484947205},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44221609830856323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4324200749397278},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.41014936566352844},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.40193355083465576},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3670205771923065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3567497134208679},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3381093740463257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21000364422798157},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18179383873939514},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/sdf-mfi59545.2023.10361360","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/sdf-mfi59545.2023.10361360","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE Symposium Sensor Data Fusion and International Conference on Multisensor Fusion and Integration (SDF-MFI)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W2019393153","https://openalex.org/W2026478216","https://openalex.org/W2058497129","https://openalex.org/W2082278886","https://openalex.org/W2084873145","https://openalex.org/W2113952909","https://openalex.org/W2134699237","https://openalex.org/W2142315243","https://openalex.org/W2148234182","https://openalex.org/W2159700833","https://openalex.org/W2169628183","https://openalex.org/W2593819095","https://openalex.org/W2718384077","https://openalex.org/W2743723697","https://openalex.org/W2744366353","https://openalex.org/W2773312768","https://openalex.org/W2895452517","https://openalex.org/W2964450615","https://openalex.org/W3012963926","https://openalex.org/W3046385796","https://openalex.org/W3100758187","https://openalex.org/W3213385622","https://openalex.org/W4232637901","https://openalex.org/W4238086434","https://openalex.org/W4285266133","https://openalex.org/W4293093829","https://openalex.org/W4306147948","https://openalex.org/W4312666420","https://openalex.org/W6990310728"],"related_works":["https://openalex.org/W2367703135","https://openalex.org/W2520821892","https://openalex.org/W2902604941","https://openalex.org/W2325628825","https://openalex.org/W1032920515","https://openalex.org/W4250038487","https://openalex.org/W3185542260","https://openalex.org/W1977262557","https://openalex.org/W2324703843","https://openalex.org/W4245060453"],"abstract_inverted_index":{"Visualisation":[0],"of":[1,11,40,63,70,81,89,91,99],"mathematical":[2],"objects":[3,58],"often":[4],"leads":[5],"to":[6,37],"faster":[7],"and":[8,68],"easier":[9],"comprehension":[10],"theories.":[12],"On":[13],"the":[14,95,113],"other":[15],"hand,":[16],"deriving":[17],"conclusions":[18],"exclusively":[19],"from":[20,49],"a":[21,41,85],"graphical":[22],"interpretation":[23],"can":[24],"be":[25],"misleading.":[26],"A":[27],"typical":[28],"case":[29,96],"in":[30,94],"estimation":[31,83,100],"is":[32,77],"an":[33],"ellipse,":[34],"which":[35],"corresponds":[36],"contour":[38],"lines":[39,72],"bivariate":[42],"Gaussian":[43],"density.":[44],"This":[45],"paper":[46],"combines":[47],"insights":[48],"various":[50],"areas.":[51],"Algebraic":[52],"relations":[53],"are":[54,59,73,102],"presented":[55],"first,":[56],"geometric":[57],"shown":[60],"subsequently.":[61],"Constructions":[62],"ellipses":[64,114],"by":[65],"determining":[66],"radii":[67],"positions":[69],"tangent":[71],"discussed.":[74],"The":[75,106],"stress":[76],"laid":[78],"on":[79,87],"exposition":[80,107],"linear":[82],"with":[84],"focus":[86],"methodology":[88],"fusion":[90],"estimates,":[92],"especially":[93],"when":[97],"cross-correlations":[98],"errors":[101],"not":[103],"fully":[104],"known.":[105],"also":[108],"covers":[109],"multidimensional":[110],"variables,":[111],"where":[112],"become":[115],"ellipsoids.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
