{"id":"https://openalex.org/W7116711609","doi":"https://doi.org/10.1109/tip.2025.3644793","title":"Bayesian Multifractal Image Segmentation","display_name":"Bayesian Multifractal Image Segmentation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7116711609","doi":"https://doi.org/10.1109/tip.2025.3644793","pmid":"https://pubmed.ncbi.nlm.nih.gov/41428918"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2025.3644793","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2025.3644793","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5044843507","display_name":"Kar\u00e9th Leon-L\u00f3pez","orcid":"https://orcid.org/0000-0002-0502-9107"},"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":"Kareth M. Le\u00f3n-L\u00f3pez","raw_affiliation_strings":["Institut de Recherche en Informatique de Toulouse (IRIT), CNRS, INPToulouse, UT3, UT2, TéSA, Université de Toulouse, Toulouse, France"],"raw_orcid":"https://orcid.org/0000-0002-0502-9107","affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique de Toulouse (IRIT), CNRS, INPToulouse, UT3, UT2, TéSA, Université de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","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/A5064381812","display_name":"Abderrahim Halimi","orcid":"https://orcid.org/0000-0002-8112-5352"},"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":"Abderrahim Halimi","raw_affiliation_strings":["Heriot-Watt University, Edinburgh, U.K"],"raw_orcid":"https://orcid.org/0000-0002-8112-5352","affiliations":[{"raw_affiliation_string":"Heriot-Watt University, Edinburgh, U.K","institution_ids":["https://openalex.org/I32062511"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110455304","display_name":"Jean-Yves Tourneret","orcid":null},"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":"Jean-Yves Tourneret","raw_affiliation_strings":["Institut de Recherche en Informatique de Toulouse (IRIT), CNRS, INPToulouse, UT3, UT2, TéSA, Université de Toulouse, Toulouse, France"],"raw_orcid":"https://orcid.org/0000-0001-5219-3455","affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique de Toulouse (IRIT), CNRS, INPToulouse, UT3, UT2, TéSA, Université de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121003766","display_name":"Herwig Wendt","orcid":null},"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":["Institut de Recherche en Informatique de Toulouse (IRIT), CNRS, INPToulouse, UT3, UT2, TéSA, Université de Toulouse, Toulouse, France"],"raw_orcid":"https://orcid.org/0000-0001-6930-3083","affiliations":[{"raw_affiliation_string":"Institut de Recherche en Informatique de Toulouse (IRIT), CNRS, INPToulouse, UT3, UT2, TéSA, Université de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5475,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.72081608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"34","issue":null,"first_page":"8500","last_page":"8510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.5205000042915344,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.5205000042915344,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.0737999975681305,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.04699999839067459,"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":0.9269999861717224},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.6517000198364258},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5879999995231628},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.5702000260353088},{"id":"https://openalex.org/keywords/markov-random-field","display_name":"Markov random field","score":0.5497999787330627},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.5242999792098999},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.438400000333786},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.4056999981403351},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.37959998846054077}],"concepts":[{"id":"https://openalex.org/C133905733","wikidata":"https://www.wikidata.org/wiki/Q2629238","display_name":"Multifractal system","level":3,"score":0.9269999861717224},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.6872000098228455},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.6517000198364258},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5879999995231628},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.5702000260353088},{"id":"https://openalex.org/C2778045648","wikidata":"https://www.wikidata.org/wiki/Q176827","display_name":"Markov random field","level":4,"score":0.5497999787330627},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.5242999792098999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5029000043869019},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4429999887943268},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.438400000333786},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.4056999981403351},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.37959998846054077},{"id":"https://openalex.org/C158424031","wikidata":"https://www.wikidata.org/wiki/Q1191905","display_name":"Gibbs sampling","level":3,"score":0.3718000054359436},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.3702000081539154},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C25694479","wikidata":"https://www.wikidata.org/wiki/Q7446278","display_name":"Segmentation-based object categorization","level":5,"score":0.35199999809265137},{"id":"https://openalex.org/C75294576","wikidata":"https://www.wikidata.org/wiki/Q5165192","display_name":"Contextual image classification","level":3,"score":0.3490000069141388},{"id":"https://openalex.org/C130402806","wikidata":"https://www.wikidata.org/wiki/Q5361768","display_name":"Random field","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3093999922275543},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30720001459121704},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.303600013256073},{"id":"https://openalex.org/C99008458","wikidata":"https://www.wikidata.org/wiki/Q4951583","display_name":"Box counting","level":5,"score":0.2953000068664551},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2922999858856201},{"id":"https://openalex.org/C63099799","wikidata":"https://www.wikidata.org/wiki/Q17147001","display_name":"Image texture","level":4,"score":0.28700000047683716},{"id":"https://openalex.org/C98925819","wikidata":"https://www.wikidata.org/wiki/Q7235385","display_name":"Potts model","level":3,"score":0.2720000147819519},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.27059999108314514},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.2540999948978424},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.2506999969482422}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2025.3644793","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2025.3644793","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:41428918","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41428918","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4098741818","display_name":null,"funder_award_id":"RF/201718/17128","funder_id":"https://openalex.org/F4320320005","funder_display_name":"Royal Academy of Engineering"},{"id":"https://openalex.org/G5095031848","display_name":null,"funder_award_id":"18-CE45-0007 MUTATION","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6077305441","display_name":"Multidimensional multifractal analysis: Theory and applications in ultrasound imaging of pancreatic cancer","funder_award_id":"ANR-18-CE45-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320005","display_name":"Royal Academy of Engineering","ror":"https://ror.org/0526snb40"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W224846134","https://openalex.org/W1603679155","https://openalex.org/W1607632979","https://openalex.org/W1965260574","https://openalex.org/W1965262908","https://openalex.org/W1965511886","https://openalex.org/W1966233465","https://openalex.org/W1970929351","https://openalex.org/W1972845114","https://openalex.org/W1973079282","https://openalex.org/W1990150976","https://openalex.org/W1991806859","https://openalex.org/W1993456370","https://openalex.org/W2021537669","https://openalex.org/W2028620833","https://openalex.org/W2031753087","https://openalex.org/W2034699082","https://openalex.org/W2043711675","https://openalex.org/W2049694710","https://openalex.org/W2059432853","https://openalex.org/W2078244221","https://openalex.org/W2082212568","https://openalex.org/W2101897555","https://openalex.org/W2102616700","https://openalex.org/W2107219953","https://openalex.org/W2111727749","https://openalex.org/W2111815479","https://openalex.org/W2111856461","https://openalex.org/W2134275275","https://openalex.org/W2138565847","https://openalex.org/W2148534890","https://openalex.org/W2151658918","https://openalex.org/W2151891866","https://openalex.org/W2158004511","https://openalex.org/W2160382775","https://openalex.org/W2199571618","https://openalex.org/W2770857282","https://openalex.org/W2797982291","https://openalex.org/W2963150697","https://openalex.org/W2963428042","https://openalex.org/W2963919018","https://openalex.org/W2979447089","https://openalex.org/W3016786867","https://openalex.org/W3049130439","https://openalex.org/W4200078694","https://openalex.org/W4285179532","https://openalex.org/W4287831348","https://openalex.org/W4299302427","https://openalex.org/W4362703713","https://openalex.org/W4381252041","https://openalex.org/W4390874575","https://openalex.org/W7104382580"],"related_works":[],"abstract_inverted_index":{"Multifractal":[0],"analysis":[1],"(MFA)":[2],"provides":[3],"a":[4,92,118,127],"framework":[5],"for":[6,36,101,111,207],"the":[7,15,24,31,37,80,88,131,143,146,160,164,178,181],"global":[8],"characterization":[9],"of":[10,18,33,39,50,114,145,163,180],"image":[11,209],"textures":[12,41,52,76],"by":[13,77],"describing":[14],"spatial":[16,133],"fluctuations":[17],"their":[19],"local":[20],"regularity":[21],"based":[22],"on":[23,85,172],"multifractal":[25,56,68,75,81,97,174,208],"spectrum.":[26],"Several":[27],"works":[28],"have":[29],"shown":[30],"interest":[32],"using":[34],"MFA":[35],"description":[38],"homogeneous":[40],"in":[42,54],"images.":[43],"Nevertheless,":[44],"natural":[45],"images":[46,175],"can":[47],"be":[48],"composed":[49],"several":[51],"and,":[53],"turn,":[55],"properties":[57],"associated":[58],"with":[59],"those":[60],"textures.":[61],"This":[62],"paper":[63],"introduces":[64],"an":[65,115],"unsupervised":[66,194],"Bayesian":[67],"segmentation":[69,183,195],"method":[70,187],"to":[71,129,138,156,176,192],"model":[72,100,130,166],"and":[73,83,94,134],"segment":[74],"jointly":[78],"estimating":[79],"parameters":[82,110],"labels":[84,144],"images,":[86],"at":[87],"pixel-level.":[89],"For":[90],"this,":[91],"computationally":[93],"statistically":[95],"efficient":[96],"parameter":[98],"estimation":[99],"wavelet":[102,147],"leaders":[103],"is":[104,124,153],"firstly":[105],"developed,":[106],"defining":[107],"different":[108,112],"multifractality":[109],"regions":[113],"image.":[116],"Then,":[117],"multiscale":[119],"Potts":[120],"Markov":[121],"random":[122],"field":[123],"introduced":[125],"as":[126,139,197,199],"prior":[128],"inherent":[132],"scale":[135],"correlations":[136],"(referred":[137],"cross-scale":[140],"correlations)":[141],"between":[142],"leaders.":[148],"A":[149],"Gibbs":[150],"sampling":[151],"methodology":[152],"finally":[154],"used":[155],"draw":[157],"samples":[158],"from":[159],"posterior":[161],"distribution":[162],"unknown":[165],"parameters.":[167],"Numerical":[168],"experiments":[169],"are":[170],"conducted":[171],"synthetic":[173],"evaluate":[177],"performance":[179,190],"proposed":[182,186],"approach.":[184],"The":[185],"achieves":[188],"superior":[189],"compared":[191],"traditional":[193],"techniques":[196],"well":[198],"modern":[200],"deep":[201],"learning-based":[202],"approaches,":[203],"showing":[204],"its":[205],"effectiveness":[206],"segmentation.":[210]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-12-22T00:00:00"}