{"id":"https://openalex.org/W2797982291","doi":"https://doi.org/10.1137/17m1151304","title":"Multifractal Analysis of Multivariate Images Using Gamma Markov Random Field Priors","display_name":"Multifractal Analysis of Multivariate Images Using Gamma Markov Random Field Priors","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2797982291","doi":"https://doi.org/10.1137/17m1151304","mag":"2797982291"},"language":"en","primary_location":{"id":"doi:10.1137/17m1151304","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1151304","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008685312","display_name":"Herwig Wendt","orcid":"https://orcid.org/0000-0001-6930-3083"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Herwig Wendt","raw_affiliation_strings":["CNRS - Centre National de la Recherche Scientifique (France)","IRIT-MINDS - CoMputational imagINg anD viSion (IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9  - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRIT-MINDS - CoMputational imagINg anD viSion (IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9  - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048199195","display_name":"S\u00e9bastien Combrexelle","orcid":null},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Combrexelle","raw_affiliation_strings":["IRIT-SC - Signal et Communications (IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 \r\n - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT-SC - Signal et Communications (IRIT\r\n2 rue Charles Camichel \r\n31071 Toulouse Cedex 7 \r\n - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067973917","display_name":"Yoann Altmann","orcid":"https://orcid.org/0000-0002-3177-9884"},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yoann Altmann","raw_affiliation_strings":["HWU - Heriot-Watt University [Edinburgh] (Edinburgh, Scotland, UK EH14 4AS - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HWU - Heriot-Watt University [Edinburgh] (Edinburgh, Scotland, UK EH14 4AS - United Kingdom)","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018816346","display_name":"Jean\u2010Yves Tourneret","orcid":"https://orcid.org/0000-0001-5219-3455"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Yves Tourneret","raw_affiliation_strings":["IRIT-MINDS - CoMputational imagINg anD viSion (IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9  - France)","Toulouse INP - Institut National Polytechnique (Toulouse) (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIT-MINDS - CoMputational imagINg anD viSion (IRIT\r\n118 Route de Narbonne\r\n31062 Toulouse Cedex 9  - France)","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"Toulouse INP - Institut National Polytechnique (Toulouse) (France)","institution_ids":["https://openalex.org/I205747304"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010538525","display_name":"Stephen McLaughlin","orcid":"https://orcid.org/0000-0002-9558-8294"},"institutions":[{"id":"https://openalex.org/I32062511","display_name":"Heriot-Watt University","ror":"https://ror.org/04mghma93","country_code":"GB","type":"education","lineage":["https://openalex.org/I32062511"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephen McLaughlin","raw_affiliation_strings":["HWU - Heriot-Watt University [Edinburgh] (Edinburgh, Scotland, UK EH14 4AS - United Kingdom)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HWU - Heriot-Watt University [Edinburgh] (Edinburgh, Scotland, UK EH14 4AS - United Kingdom)","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050643672","display_name":"Patrice Abry","orcid":"https://orcid.org/0000-0002-7096-8290"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Patrice Abry","raw_affiliation_strings":["Phys-ENS - Laboratoire de Physique de l'ENS Lyon (46 all\u00e9e d'Italie 69007 Lyon - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Phys-ENS - Laboratoire de Physique de l'ENS Lyon (46 all\u00e9e d'Italie 69007 Lyon - France)","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210096929"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":10,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6064,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.69123253,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":"2","first_page":"1294","last_page":"1316"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9650999903678894,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9650999903678894,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9609000086784363,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9104999899864197,"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/multifractal-system","display_name":"Multifractal system","score":0.7332556247711182},{"id":"https://openalex.org/keywords/conjugate-prior","display_name":"Conjugate prior","score":0.5846160650253296},{"id":"https://openalex.org/keywords/markov-random-field","display_name":"Markov random field","score":0.5470997095108032},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.5213357210159302},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5166797637939453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5082566142082214},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5019412040710449},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.484684020280838},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.47608938813209534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43845903873443604},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.4217297434806824},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4009557366371155},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40013185143470764},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.30119603872299194},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28094011545181274},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.22259464859962463},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.143020361661911}],"concepts":[{"id":"https://openalex.org/C133905733","wikidata":"https://www.wikidata.org/wiki/Q2629238","display_name":"Multifractal system","level":3,"score":0.7332556247711182},{"id":"https://openalex.org/C26004113","wikidata":"https://www.wikidata.org/wiki/Q3711784","display_name":"Conjugate prior","level":4,"score":0.5846160650253296},{"id":"https://openalex.org/C2778045648","wikidata":"https://www.wikidata.org/wiki/Q176827","display_name":"Markov random field","level":4,"score":0.5470997095108032},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.5213357210159302},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5166797637939453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5082566142082214},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5019412040710449},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.484684020280838},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.47608938813209534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43845903873443604},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.4217297434806824},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4009557366371155},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40013185143470764},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.30119603872299194},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28094011545181274},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.22259464859962463},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.143020361661911},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/17m1151304","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1151304","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:oatao.univ-toulouse.fr:20427","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401987","display_name":"Open Archive Toulouse Archive Ouverte (University of Toulouse)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I17866349","host_organization_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","host_organization_lineage":["https://openalex.org/I17866349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-01925387v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01925387","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Imaging Sciences, 2018, 11 (2), pp.1294-1316. ⟨10.1137/17M1151304⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:oatao.univ-toulouse.fr:20427","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401987","display_name":"Open Archive Toulouse Archive Ouverte (University of Toulouse)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I17866349","host_organization_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","host_organization_lineage":["https://openalex.org/I17866349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1569610015","display_name":"Multifractal theory and methods for large size multivariate systems - Applications to scale free analysis of brain dynamics analysis","funder_award_id":"ANR-16-CE33-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2327784722","display_name":null,"funder_award_id":"EP/J015180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7808534914","display_name":null,"funder_award_id":"ANR-12-BS03-003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7866018786","display_name":"Sensor Signal Processing","funder_award_id":"EP/J015180/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320332972","display_name":"Defence Science and Technology Laboratory","ror":"https://ror.org/04jswqb94"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320335086","display_name":"Direction G\u00e9n\u00e9rale de l\u2019Armement","ror":"https://ror.org/04wsqd844"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W28766783","https://openalex.org/W1965262908","https://openalex.org/W1966233465","https://openalex.org/W1966656873","https://openalex.org/W1970929351","https://openalex.org/W1972845114","https://openalex.org/W1985058574","https://openalex.org/W1990150976","https://openalex.org/W1998743370","https://openalex.org/W2008155113","https://openalex.org/W2009101175","https://openalex.org/W2025183033","https://openalex.org/W2027561985","https://openalex.org/W2032110877","https://openalex.org/W2032336008","https://openalex.org/W2037095848","https://openalex.org/W2043711675","https://openalex.org/W2059432853","https://openalex.org/W2059779421","https://openalex.org/W2068324025","https://openalex.org/W2078244221","https://openalex.org/W2079321251","https://openalex.org/W2082212568","https://openalex.org/W2082265779","https://openalex.org/W2103264301","https://openalex.org/W2112257301","https://openalex.org/W2116064496","https://openalex.org/W2116796152","https://openalex.org/W2118642595","https://openalex.org/W2128424195","https://openalex.org/W2150990614","https://openalex.org/W2152977846","https://openalex.org/W2161798353","https://openalex.org/W2168561475","https://openalex.org/W2191172174","https://openalex.org/W2503326828","https://openalex.org/W3100766587","https://openalex.org/W3148918439"],"related_works":["https://openalex.org/W2476449081","https://openalex.org/W4298870584","https://openalex.org/W2734174941","https://openalex.org/W4298441262","https://openalex.org/W4306291977","https://openalex.org/W2950950409","https://openalex.org/W2232589144","https://openalex.org/W2404382874","https://openalex.org/W2905505054","https://openalex.org/W4287394650"],"abstract_inverted_index":{"Texture":[0],"characterization":[1],"of":[2,9,16,22,33,44,75,92,124,160,164,173,177,185,205,213],"natural":[3],"images":[4,144,215],"using":[5,211],"the":[6,14,17,20,31,41,49,89,102,122,131,158,161,168,174,186,189,218],"mathematical":[7],"framework":[8],"multifractal":[10,73,93,132,165,214],"analysis":[11,43],"(MFA)":[12],"enables":[13,194],"study":[15],"fluctuations":[18],"in":[19,28,52,130,147],"regularity":[21],"image":[23,98,119,169],"intensity.":[24],"Although":[25],"successfully":[26],"applied":[27],"various":[29],"contexts,":[30],"use":[32,123],"MFA":[34],"has":[35],"so":[36],"far":[37],"been":[38],"limited":[39],"to":[40],"independent":[42],"a":[45,64,81,96,110,117,125,138,202,228],"single":[46,97,118],"image,":[47],"while":[48],"data":[50,135,206],"available":[51],"applications":[53],"are":[54],"increasingly":[55],"multivariate.":[56],"This":[57],"paper":[58],"addresses":[59],"this":[60],"limitation":[61],"and":[62,68,99,176,191],"proposes":[63],"joint":[65,139],"Bayesian":[66,90,140],"model":[67,86,115,141],"associated":[69],"estimation":[70,91,197],"procedure":[71,198,220],"for":[72,95,116,142],"parameters":[74,94,133,166],"multivariate":[76,143],"images.":[77],"It":[78],"builds":[79],"on":[80,101,152],"recently":[82],"introduced":[83],"generic":[84],"statistical":[85,114],"that":[87,120,127,183,199,217],"enabled":[88],"relies":[100],"following":[103],"original":[104],"key":[105],"contributions:":[106],"First,":[107],"we":[108],"develop":[109],"novel":[111],"Fourier":[112],"domain":[113],"permits":[121],"likelihood":[126,175,190],"is":[128,145,181],"separable":[129],"via":[134],"augmentation.":[136],"Second,":[137],"formulated":[146],"which":[148],"prior":[149,179,192],"models":[150,180,193],"based":[151],"gamma":[153],"Markov":[154],"random":[155],"fields":[156],"encode":[157],"assumption":[159],"smooth":[162],"evolution":[163],"between":[167,188],"components.":[170,207],"The":[171],"design":[172],"conjugate":[178],"such":[182],"exploitation":[184],"conjugacy":[187],"an":[195],"efficient":[196],"can":[200],"handle":[201],"large":[203],"number":[204],"Numerical":[208],"simulations":[209],"conducted":[210],"sequences":[212],"demonstrate":[216],"proposed":[219],"significantly":[221],"outperforms":[222],"previous":[223],"univariate":[224],"benchmark":[225],"formulations":[226],"at":[227],"competitive":[229],"computational":[230],"cost.":[231]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}