{"id":"https://openalex.org/W2110281611","doi":"https://doi.org/10.1109/tip.2008.2005823","title":"A Multiresolution Stochastic Level Set Method for Mumford\u2013Shah Image Segmentation","display_name":"A Multiresolution Stochastic Level Set Method for Mumford\u2013Shah Image Segmentation","publication_year":2008,"publication_date":"2008-11-12","ids":{"openalex":"https://openalex.org/W2110281611","doi":"https://doi.org/10.1109/tip.2008.2005823","mag":"2110281611","pmid":"https://pubmed.ncbi.nlm.nih.gov/19004702"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2008.2005823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2008.2005823","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/A5085721466","display_name":"Yan Nei Law","orcid":"https://orcid.org/0009-0003-3046-1000"},"institutions":[{"id":"https://openalex.org/I4210148498","display_name":"Bioinformatics Institute","ror":"https://ror.org/044w3nw43","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I2801752549","https://openalex.org/I4210148498"]},{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Yan Nei Law","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore. andyyip@nus.edu.sg","Bioinf. Inst., Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore. andyyip@nus.edu.sg","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"Bioinf. Inst., Singapore","institution_ids":["https://openalex.org/I4210148498"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046952239","display_name":"Hwee Kuan Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148498","display_name":"Bioinformatics Institute","ror":"https://ror.org/044w3nw43","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115228651","https://openalex.org/I2801752549","https://openalex.org/I4210148498"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Hwee Kuan Lee","raw_affiliation_strings":["Bioinformatics Institute, Singapore","Bioinf. Inst., Singapore"],"affiliations":[{"raw_affiliation_string":"Bioinformatics Institute, Singapore","institution_ids":["https://openalex.org/I4210148498"]},{"raw_affiliation_string":"Bioinf. Inst., Singapore","institution_ids":["https://openalex.org/I4210148498"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000385200","display_name":"Andy M. Yip","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"A.M. Yip","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, Singapore","National University of Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"National University of Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085721466"],"corresponding_institution_ids":["https://openalex.org/I165932596","https://openalex.org/I4210148498"],"apc_list":null,"apc_paid":null,"fwci":5.9702,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.96527188,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"17","issue":"12","first_page":"2289","last_page":"2300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9980000257492065,"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":0.9980000257492065,"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/T11885","display_name":"MRI in cancer diagnosis","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simulated-annealing","display_name":"Simulated annealing","score":0.7367615699768066},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6643916964530945},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6107770204544067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5381420850753784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48542341589927673},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.48282870650291443},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.4823686182498932},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4710911214351654},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.4650595784187317},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.45879504084587097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3163962960243225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2864599823951721},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.07718166708946228}],"concepts":[{"id":"https://openalex.org/C126980161","wikidata":"https://www.wikidata.org/wiki/Q863783","display_name":"Simulated annealing","level":2,"score":0.7367615699768066},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6643916964530945},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6107770204544067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5381420850753784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48542341589927673},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.48282870650291443},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.4823686182498932},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4710911214351654},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.4650595784187317},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.45879504084587097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3163962960243225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2864599823951721},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.07718166708946228},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D001185","descriptor_name":"Artificial Intelligence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007089","descriptor_name":"Image Enhancement","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007090","descriptor_name":"Image Interpretation, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D010363","descriptor_name":"Pattern Recognition, Automated","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D012680","descriptor_name":"Sensitivity and Specificity","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":3,"locations":[{"id":"doi:10.1109/tip.2008.2005823","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2008.2005823","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:19004702","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19004702","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},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/102686","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/102686","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1488664435","https://openalex.org/W1498238238","https://openalex.org/W1547714734","https://openalex.org/W1974390117","https://openalex.org/W1986602910","https://openalex.org/W1991113069","https://openalex.org/W1998683784","https://openalex.org/W1999244633","https://openalex.org/W2003582562","https://openalex.org/W2017281274","https://openalex.org/W2024060531","https://openalex.org/W2033403400","https://openalex.org/W2038495454","https://openalex.org/W2040944759","https://openalex.org/W2048828405","https://openalex.org/W2049391017","https://openalex.org/W2056760934","https://openalex.org/W2069739265","https://openalex.org/W2070143079","https://openalex.org/W2089657469","https://openalex.org/W2104764813","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2129480103","https://openalex.org/W2155280009","https://openalex.org/W2155343350","https://openalex.org/W2156531680","https://openalex.org/W2165734775","https://openalex.org/W2172029033","https://openalex.org/W2296319761","https://openalex.org/W3023411394","https://openalex.org/W3105621768","https://openalex.org/W4244030505","https://openalex.org/W4250589301","https://openalex.org/W6629812418","https://openalex.org/W6632729973"],"related_works":["https://openalex.org/W4286899070","https://openalex.org/W4323366756","https://openalex.org/W2913271688","https://openalex.org/W4234593354","https://openalex.org/W2893302333","https://openalex.org/W4285259204","https://openalex.org/W4389775782","https://openalex.org/W3207830353","https://openalex.org/W2963926425","https://openalex.org/W3024083111"],"abstract_inverted_index":{"The":[0],"Mumford-Shah":[1,97],"model":[2,17,34],"is":[3,37,128,147,162],"one":[4],"of":[5,25,32,88,92,116,125,181],"the":[6,16,23,26,33,86,93,114,119,123,170,191,196],"most":[7],"successful":[8],"image":[9],"segmentation":[10],"models.":[11],"However,":[12],"existing":[13],"algorithms":[14],"for":[15,198],"are":[18,59,176],"often":[19],"very":[20,159],"sensitive":[21],"to":[22,39,61,77,112,118,138,189],"choice":[24],"initial":[27,120],"guess.":[28,121],"To":[29],"make":[30],"use":[31],"effectively,":[35],"it":[36],"essential":[38],"develop":[40],"an":[41],"algorithm":[42,127],"which":[43,104,134],"can":[44],"compute":[45],"a":[46,63,74,89,101,129,144,158,165,186,199,205],"global":[47,50,90,136,200],"or":[48],"near":[49],"optimal":[51],"solution":[52,76,161],"efficiently.":[53],"While":[54],"gradient":[55,106],"descent":[56],"based":[57,107],"methods":[58,70,111],"well-known":[60],"find":[62],"local":[64,141],"minimum":[65,91],"only,":[66],"even":[67,178],"many":[68],"stochastic":[69,109,153,167],"do":[71],"not":[72],"provide":[73],"practical":[75],"this":[78,82],"problem":[79,115],"either.":[80],"In":[81,155],"paper,":[83],"we":[84,203],"consider":[85],"computation":[87],"multiphase":[94],"piecewise":[95],"constant":[96],"model.":[98],"We":[99,183],"propose":[100,185],"hybrid":[102],"approach":[103,188],"combines":[105],"and":[108,194],"optimization":[110],"resolve":[113],"sensitivity":[117],"At":[122],"heart":[124],"our":[126,156],"well-designed":[130],"basin":[131],"hopping":[132],"scheme":[133],"uses":[135],"updates":[137],"escape":[139],"from":[140],"traps":[142],"in":[143],"way":[145],"that":[146],"much":[148],"more":[149],"effective":[150],"than":[151],"standard":[152],"methods.":[154],"experiments,":[157],"high-quality":[160],"obtained":[163,172],"within":[164],"few":[166],"hops":[168],"whereas":[169],"solutions":[171,212],"with":[173],"simulated":[174],"annealing":[175],"incomparable":[177],"after":[179],"thousands":[180],"steps.":[182],"also":[184],"multiresolution":[187],"reduce":[190],"computational":[192],"cost":[193],"enhance":[195],"search":[197],"minimum.":[201],"Furthermore,":[202],"derived":[204],"simple":[206],"but":[207],"useful":[208],"theoretical":[209],"result":[210],"relating":[211],"at":[213],"different":[214],"spatial":[215],"resolutions.":[216]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":13}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
