{"id":"https://openalex.org/W4226134311","doi":"https://doi.org/10.1137/22m1483645","title":"An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation","display_name":"An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation","publication_year":2023,"publication_date":"2023-02-01","ids":{"openalex":"https://openalex.org/W4226134311","doi":"https://doi.org/10.1137/22m1483645"},"language":"en","primary_location":{"id":"doi:10.1137/22m1483645","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1483645","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101995596","display_name":"Chaoyu Liu","orcid":"https://orcid.org/0000-0003-1439-0751"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Chaoyu Liu","raw_affiliation_strings":["Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":["https://openalex.org/I14243506"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081360062","display_name":"Zhonghua Qiao","orcid":"https://orcid.org/0000-0002-0553-1404"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhonghua Qiao","raw_affiliation_strings":["Department of Applied Mathematics and Research Institute for Smart Energy, Hong Kong Polytechnic University, Hung Hom, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Research Institute for Smart Energy, Hong Kong Polytechnic University, Hung Hom, Hong Kong","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115603610","display_name":"Qian Zhang","orcid":"https://orcid.org/0000-0001-5975-9781"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qian Zhang","raw_affiliation_strings":["Corresponding author. School of Science, Harbin Institute of Technology, Shenzhen 518055, China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. School of Science, Harbin Institute of Technology, Shenzhen 518055, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101995596"],"corresponding_institution_ids":["https://openalex.org/I14243506"],"apc_list":null,"apc_paid":null,"fwci":1.3559,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82425772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"16","issue":"1","first_page":"144","last_page":"168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9812999963760376,"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"}},{"id":"https://openalex.org/T12422","display_name":"Radiomics and Machine Learning in Medical Imaging","score":0.9811999797821045,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.8634247779846191},{"id":"https://openalex.org/keywords/active-contour-model","display_name":"Active contour model","score":0.7628167867660522},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6957732439041138},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.593160092830658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5707114934921265},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5603377223014832},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.5525505542755127},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5350547432899475},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4690316915512085},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.417164146900177},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3966742157936096},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3964243233203888},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3544243574142456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3199141025543213},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3192952871322632}],"concepts":[{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.8634247779846191},{"id":"https://openalex.org/C112353826","wikidata":"https://www.wikidata.org/wiki/Q127313","display_name":"Active contour model","level":4,"score":0.7628167867660522},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6957732439041138},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.593160092830658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5707114934921265},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5603377223014832},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.5525505542755127},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5350547432899475},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4690316915512085},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.417164146900177},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3966742157936096},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3964243233203888},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3544243574142456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3199141025543213},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3192952871322632},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1483645","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1483645","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8199999928474426,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3717406022","display_name":null,"funder_award_id":"4-ZZLS","funder_id":"https://openalex.org/F4320322598","funder_display_name":"Hong Kong Polytechnic University"},{"id":"https://openalex.org/G5516462029","display_name":null,"funder_award_id":"1-ZVA8","funder_id":"https://openalex.org/F4320321133","funder_display_name":"Chinese Academy of Sciences"}],"funders":[{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320322598","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1640336024","https://openalex.org/W1991113069","https://openalex.org/W2009767800","https://openalex.org/W2010495532","https://openalex.org/W2026806415","https://openalex.org/W2038495454","https://openalex.org/W2042597321","https://openalex.org/W2051477566","https://openalex.org/W2064785575","https://openalex.org/W2080622120","https://openalex.org/W2095049733","https://openalex.org/W2099834786","https://openalex.org/W2104095591","https://openalex.org/W2116040950","https://openalex.org/W2118386984","https://openalex.org/W2132116135","https://openalex.org/W2132218491","https://openalex.org/W2133141088","https://openalex.org/W2139478903","https://openalex.org/W2159152281","https://openalex.org/W2165734775","https://openalex.org/W2167918392","https://openalex.org/W2172029033","https://openalex.org/W2412782625","https://openalex.org/W2433693374","https://openalex.org/W2467514263","https://openalex.org/W2484752968","https://openalex.org/W2604512261","https://openalex.org/W2610036018","https://openalex.org/W2752392650","https://openalex.org/W2793002108","https://openalex.org/W2884436604","https://openalex.org/W2906711861","https://openalex.org/W2941906737","https://openalex.org/W2963336955","https://openalex.org/W3005750780","https://openalex.org/W3014974815","https://openalex.org/W3015304332","https://openalex.org/W3019033996","https://openalex.org/W3033414088","https://openalex.org/W3091468352","https://openalex.org/W3112701542","https://openalex.org/W3121169301","https://openalex.org/W3122715091","https://openalex.org/W3127519403","https://openalex.org/W3128670213","https://openalex.org/W3138506499","https://openalex.org/W3193226848","https://openalex.org/W3200474585","https://openalex.org/W3211330693","https://openalex.org/W4230623118","https://openalex.org/W4312260379"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W1985458517","https://openalex.org/W2355833770","https://openalex.org/W3031039437","https://openalex.org/W183202219","https://openalex.org/W3095877357","https://openalex.org/W2072565696","https://openalex.org/W2351917300","https://openalex.org/W2911467035"],"abstract_inverted_index":{".In":[0],"this":[1,53],"paper,":[2],"we":[3,90],"propose":[4],"a":[5,11],"general":[6],"active":[7,87],"contour":[8,88,110,148],"model":[9,31,54],"with":[10,40],"local":[12],"variance":[13,150],"force":[14],"(LVF)":[15],"term":[16],"that":[17],"can":[18],"be":[19],"applied":[20],"to":[21,51,98,106,125],"multiphase":[22,100,144],"image":[23,145],"segmentation":[24,37],"problems.":[25],"With":[26],"the":[27,29,36,61,67,79,83,92,99,108,112,127,134,137,143],"LVF,":[28],"proposed":[30],"is":[32,48],"very":[33],"effective":[34],"in":[35,78,142],"of":[38,86,111,129,136],"images":[39,121,124],"noise.":[41],"A":[42],"well-targeted":[43],"minimization":[44,57],"algorithm":[45],"called":[46],"ICTM-LVF":[47,113],"then":[49,103],"designed":[50],"solve":[52],"efficiently.":[55],"This":[56],"algorithm,":[58],"developed":[59],"from":[60],"iterative":[62],"convolution-thresholding":[63,154],"method":[64,97],"(ICTM),":[65],"enjoys":[66],"energy-decaying":[68],"property":[69],"under":[70],"some":[71],"conditions":[72],"and":[73,102,122,133],"has":[74],"highly":[75],"efficient":[76],"performance":[77],"segmentation.":[80],"To":[81],"overcome":[82],"initialization":[84,96,131],"issue":[85],"models,":[89],"generalize":[91],"inhomogeneous":[93],"graph":[94,152],"Laplacian":[95],"case":[101],"apply":[104],"it":[105],"give":[107],"initial":[109],"solver.":[114],"Numerical":[115],"experiments":[116],"are":[117],"conducted":[118],"on":[119],"synthetic":[120],"real":[123],"demonstrate":[126],"capability":[128],"our":[130],"method,":[132],"effectiveness":[135],"LVF":[138],"for":[139],"noise":[140],"robustness":[141],"segmentation.Keywordsimage":[146],"segmentationactive":[147],"modellocal":[149],"forceinhomogeneous":[151],"Laplacianiterative":[153],"methodMSC":[155],"codes68U1065K1065M1262H3594A08":[156]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2025-10-10T00:00:00"}
