{"id":"https://openalex.org/W2116199897","doi":"https://doi.org/10.1109/fskd.2007.126","title":"A Sub-pixel Multifractal Method for the Image Segmentation","display_name":"A Sub-pixel Multifractal Method for the Image Segmentation","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2116199897","doi":"https://doi.org/10.1109/fskd.2007.126","mag":"2116199897"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2007.126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2007.126","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100367292","display_name":"Gang Wang","orcid":"https://orcid.org/0000-0001-5859-3724"},"institutions":[{"id":"https://openalex.org/I182707071","display_name":"Ludong University","ror":"https://ror.org/028h95t32","country_code":"CN","type":"education","lineage":["https://openalex.org/I182707071"]},{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gang Wang","raw_affiliation_strings":["School of Physics & Electronics Engineering, Ludong University, Yantai, China","School of Science, Nanjing University of Science and Technology of PLA, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics & Electronics Engineering, Ludong University, Yantai, China","institution_ids":["https://openalex.org/I182707071"]},{"raw_affiliation_string":"School of Science, Nanjing University of Science and Technology of PLA, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020302879","display_name":"Liang Xiao","orcid":"https://orcid.org/0000-0003-0178-9384"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Xiao","raw_affiliation_strings":["School of Science, Nanjing University of Science and Technology of PLA, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Nanjing University of Science and Technology of PLA, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111669540","display_name":"Anzhi He","orcid":null},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anzhi He","raw_affiliation_strings":["School of Science, Nanjing University of Science and Technology of PLA, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Nanjing University of Science and Technology of PLA, Nanjing, China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.533,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.91449308,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":null,"first_page":"566","last_page":"572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9937999844551086,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9674999713897705,"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/T13890","display_name":"Remote Sensing and Land Use","score":0.9397000074386597,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multifractal-system","display_name":"Multifractal system","score":0.8731949925422668},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.7079126834869385},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.5758146643638611},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5407737493515015},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5406076908111572},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.48267224431037903},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4587254226207733},{"id":"https://openalex.org/keywords/morphological-gradient","display_name":"Morphological gradient","score":0.4370197057723999},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4150421619415283},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.37704819440841675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3471369445323944},{"id":"https://openalex.org/keywords/image-texture","display_name":"Image texture","score":0.3174179792404175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19053509831428528}],"concepts":[{"id":"https://openalex.org/C133905733","wikidata":"https://www.wikidata.org/wiki/Q2629238","display_name":"Multifractal system","level":3,"score":0.8731949925422668},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.7079126834869385},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.5758146643638611},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5407737493515015},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5406076908111572},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48267224431037903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4587254226207733},{"id":"https://openalex.org/C96133863","wikidata":"https://www.wikidata.org/wiki/Q6913458","display_name":"Morphological gradient","level":5,"score":0.4370197057723999},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4150421619415283},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.37704819440841675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3471369445323944},{"id":"https://openalex.org/C63099799","wikidata":"https://www.wikidata.org/wiki/Q17147001","display_name":"Image texture","level":4,"score":0.3174179792404175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19053509831428528}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2007.126","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2007.126","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007)","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":14,"referenced_works":["https://openalex.org/W1512891862","https://openalex.org/W2005067064","https://openalex.org/W2021840191","https://openalex.org/W2031831967","https://openalex.org/W2057449716","https://openalex.org/W2095892694","https://openalex.org/W2105519011","https://openalex.org/W2110119822","https://openalex.org/W2125921770","https://openalex.org/W2129526018","https://openalex.org/W2137278029","https://openalex.org/W2159846849","https://openalex.org/W2159911060","https://openalex.org/W4255443310"],"related_works":["https://openalex.org/W2010006040","https://openalex.org/W2014791028","https://openalex.org/W2362344999","https://openalex.org/W2781860599","https://openalex.org/W3131035921","https://openalex.org/W4243733206","https://openalex.org/W2360759360","https://openalex.org/W2078113570","https://openalex.org/W1994687208","https://openalex.org/W2347481716"],"abstract_inverted_index":{"The":[0,83],"framework":[1],"of":[2,50],"image":[3,25,43,96],"segmentation":[4],"based":[5,29],"on":[6,30],"the":[7,24,31,35,42,60,68,76,79,88,95],"sub-pixel":[8],"multifractal":[9],"measure":[10],"(SPMM)":[11],"is":[12,73],"presented":[13],"in":[14,23,75,94],"this":[15],"paper.":[16],"A":[17],"more":[18],"precise":[19],"singularity":[20,36],"exponent":[21],"distribution":[22],"can":[26,44,64],"be":[27,45,65],"obtained":[28],"SPMM.":[32],"According":[33],"to":[34,78],"exponents":[37],"and":[38,57],"their":[39],"statistical":[40],"properties,":[41],"decomposed":[46],"into":[47],"a":[48],"series":[49],"sets":[51],"with":[52],"different":[53],"physical":[54],"characteristics":[55],"automatically":[56],"easily.":[58],"Moreover,":[59],"most":[61],"singular":[62],"manifold":[63],"interpreted":[66],"as":[67],"set":[69],"from":[70],"which":[71],"energy":[72],"injected":[74],"flow":[77],"other":[80],"fractal":[81],"sets.":[82],"simulation":[84],"results":[85],"show":[86],"that":[87],"SPMM":[89],"has":[90],"higher":[91],"quality":[92],"factor":[93],"edge":[97],"detection.":[98]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
