{"id":"https://openalex.org/W2265949553","doi":"https://doi.org/10.1007/s10851-015-0618-4","title":"Ellipticity and Circularity Measuring via Kullback\u2013Leibler Divergence","display_name":"Ellipticity and Circularity Measuring via Kullback\u2013Leibler Divergence","publication_year":2015,"publication_date":"2015-12-07","ids":{"openalex":"https://openalex.org/W2265949553","doi":"https://doi.org/10.1007/s10851-015-0618-4","mag":"2265949553"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-015-0618-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-015-0618-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-015-0618-4.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10851-015-0618-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077774825","display_name":"Krzysztof Misztal","orcid":"https://orcid.org/0000-0003-2480-3505"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Misztal","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Jagiellonian University, ojasiewicza 6, 30-348 Krakw, Poland","Faculty of Mathematics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Jagiellonian University, ojasiewicza 6, 30-348 Krakw, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052791052","display_name":"Jacek Tabor","orcid":"https://orcid.org/0000-0001-6652-7727"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jacek Tabor","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Jagiellonian University, ojasiewicza 6, 30-348 Krakw, Poland","Faculty of Mathematics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Jagiellonian University, ojasiewicza 6, 30-348 Krakw, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077774825"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.9184,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.82785316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"1","first_page":"136","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9932000041007996,"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"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9843999743461609,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.8486058712005615},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.8277469873428345},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.7233976125717163},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.7100932002067566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5967299342155457},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5875017046928406},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5409719347953796},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5145334601402283},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5117299556732178},{"id":"https://openalex.org/keywords/data-set","display_name":"Data set","score":0.4608921408653259},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45666414499282837},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3841840326786041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3236526846885681},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17205917835235596},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16453218460083008},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11391916871070862}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8486058712005615},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.8277469873428345},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.7233976125717163},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.7100932002067566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5967299342155457},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5875017046928406},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5409719347953796},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5145334601402283},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5117299556732178},{"id":"https://openalex.org/C58489278","wikidata":"https://www.wikidata.org/wiki/Q1172284","display_name":"Data set","level":2,"score":0.4608921408653259},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45666414499282837},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3841840326786041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3236526846885681},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17205917835235596},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16453218460083008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11391916871070862},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10851-015-0618-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-015-0618-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-015-0618-4.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},{"id":"pmh:oai:ruj.uj.edu.pl:item/22433","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/22433","pdf_url":"http://ruj.uj.edu.pl/bitstreams/5ad760a4-dabd-4247-95e8-013dc288e3b0/download","source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10851-015-0618-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10851-015-0618-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10851-015-0618-4.pdf","source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2682850604","display_name":null,"funder_award_id":"2012/07/N/ST6/02192","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2265949553.pdf","grobid_xml":"https://content.openalex.org/works/W2265949553.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W151044247","https://openalex.org/W214577476","https://openalex.org/W358380361","https://openalex.org/W1540596182","https://openalex.org/W1965555277","https://openalex.org/W1965771970","https://openalex.org/W2006196727","https://openalex.org/W2029770017","https://openalex.org/W2040783801","https://openalex.org/W2046013022","https://openalex.org/W2051956072","https://openalex.org/W2054904291","https://openalex.org/W2055755574","https://openalex.org/W2057175746","https://openalex.org/W2063598178","https://openalex.org/W2072834229","https://openalex.org/W2090238112","https://openalex.org/W2099111195","https://openalex.org/W2116044718","https://openalex.org/W2120544738","https://openalex.org/W2120865793","https://openalex.org/W2123969825","https://openalex.org/W2125517577","https://openalex.org/W2140427427","https://openalex.org/W2159498975","https://openalex.org/W2255915972","https://openalex.org/W2295278941","https://openalex.org/W2478708596","https://openalex.org/W2601484520","https://openalex.org/W3011685483","https://openalex.org/W6677322329"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W1554844486","https://openalex.org/W1520875569","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W2199957582","https://openalex.org/W2033178790"],"abstract_inverted_index":{"Using":[0],"the":[1,13,23,60],"Kullback-Leibler":[2],"divergence":[3],"we":[4],"provide":[5],"a":[6,17],"simple":[7],"statistical":[8],"measure":[9,29,40,62],"which":[10],"uses":[11],"only":[12],"covariance":[14],"matrix":[15],"of":[16,34],"given":[18],"set":[19,24],"to":[20,49,57],"verify":[21],"whether":[22],"is":[25,30,41],"an":[26],"ellipsoid.":[27],"Similar":[28],"provided":[31],"for":[32],"verification":[33],"circles":[35],"and":[36,45],"balls.":[37],"The":[38],"new":[39,61],"easily":[42],"computable,":[43],"intuitive,":[44],"can":[46],"be":[47],"applied":[48],"higher":[50],"dimensional":[51],"data.":[52],"Experiments":[53],"have":[54],"been":[55],"performed":[56],"illustrate":[58],"that":[59],"behaves":[63],"in":[64],"natural":[65],"way.":[66]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}