{"id":"https://openalex.org/W1980319686","doi":"https://doi.org/10.1109/jstsp.2013.2258136","title":"Exploiting Information Geometry to Improve the Convergence Properties of Variational Active Contours","display_name":"Exploiting Information Geometry to Improve the Convergence Properties of Variational Active Contours","publication_year":2013,"publication_date":"2013-04-15","ids":{"openalex":"https://openalex.org/W1980319686","doi":"https://doi.org/10.1109/jstsp.2013.2258136","mag":"1980319686"},"language":"en","primary_location":{"id":"doi:10.1109/jstsp.2013.2258136","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2013.2258136","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","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/A5082169271","display_name":"Marcelo Pereyra","orcid":"https://orcid.org/0000-0001-6438-6772"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Marcelo Pereyra","raw_affiliation_strings":["School of Mathematics, University of Bristol, UK","Sch. of Math., Univ. of Bristol, Bristol, UK"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Bristol, UK","institution_ids":["https://openalex.org/I36234482"]},{"raw_affiliation_string":"Sch. of Math., Univ. of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072344919","display_name":"Hadj Batatia","orcid":"https://orcid.org/0000-0003-0433-2152"},"institutions":[{"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/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"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/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255","https://openalex.org/I4405258862"]},{"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","https://openalex.org/I4405258862"]},{"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","https://openalex.org/I4405258862"]},{"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","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hadj Batatia","raw_affiliation_strings":["IRIT, INP-ENSEEIHT, University of Toulouse, Toulouse, France","IRIT - INP-ENSEEIHT, Univ. of Toulouse, Toulouse, France"],"affiliations":[{"raw_affiliation_string":"IRIT, INP-ENSEEIHT, University of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I205747304","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"IRIT - INP-ENSEEIHT, Univ. of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I205747304","https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]}]},{"author_position":"last","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":"Steve McLaughlin","raw_affiliation_strings":["Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK","Eng. & Phys. Sci., Heriot-Watt Univ., Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, UK","institution_ids":["https://openalex.org/I32062511"]},{"raw_affiliation_string":"Eng. & Phys. Sci., Heriot-Watt Univ., Edinburgh, UK","institution_ids":["https://openalex.org/I32062511"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082169271"],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":null,"apc_paid":null,"fwci":1.9051,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.87301979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"4","first_page":"700","last_page":"707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9969000220298767,"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/T11659","display_name":"Advanced Image Fusion Techniques","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/active-contour-model","display_name":"Active contour model","score":0.6845624446868896},{"id":"https://openalex.org/keywords/information-geometry","display_name":"Information geometry","score":0.6506816744804382},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5336269736289978},{"id":"https://openalex.org/keywords/statistical-manifold","display_name":"Statistical manifold","score":0.533061146736145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5226255059242249},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4989807605743408},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.49814939498901367},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.47426021099090576},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46901458501815796},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.42886680364608765},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4147789478302002},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.40510761737823486},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39483654499053955},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.3447411060333252},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20334628224372864},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.11953604221343994},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.10157054662704468}],"concepts":[{"id":"https://openalex.org/C112353826","wikidata":"https://www.wikidata.org/wiki/Q127313","display_name":"Active contour model","level":4,"score":0.6845624446868896},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.6506816744804382},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5336269736289978},{"id":"https://openalex.org/C169391604","wikidata":"https://www.wikidata.org/wiki/Q7604402","display_name":"Statistical manifold","level":5,"score":0.533061146736145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5226255059242249},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4989807605743408},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.49814939498901367},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.47426021099090576},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46901458501815796},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.42886680364608765},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4147789478302002},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.40510761737823486},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39483654499053955},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.3447411060333252},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20334628224372864},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.11953604221343994},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.10157054662704468},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C12520029","wikidata":"https://www.wikidata.org/wiki/Q1147161","display_name":"Scalar curvature","level":3,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jstsp.2013.2258136","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jstsp.2013.2258136","pdf_url":null,"source":{"id":"https://openalex.org/S42167783","display_name":"IEEE Journal of Selected Topics in Signal Processing","issn_l":"1932-4553","issn":["1932-4553","1941-0484"],"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 Journal of Selected Topics in Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"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"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W92833114","https://openalex.org/W1479979375","https://openalex.org/W1520168181","https://openalex.org/W1840734267","https://openalex.org/W1966180833","https://openalex.org/W1974966195","https://openalex.org/W1991113069","https://openalex.org/W1999954977","https://openalex.org/W2000389939","https://openalex.org/W2024143114","https://openalex.org/W2027548828","https://openalex.org/W2042899290","https://openalex.org/W2105696262","https://openalex.org/W2116040950","https://openalex.org/W2124968127","https://openalex.org/W2139329176","https://openalex.org/W2157701998","https://openalex.org/W2159152281","https://openalex.org/W6603802784","https://openalex.org/W7070871703"],"related_works":["https://openalex.org/W1742234374","https://openalex.org/W1581294689","https://openalex.org/W334503494","https://openalex.org/W2155379735","https://openalex.org/W23557442","https://openalex.org/W4213369954","https://openalex.org/W4387297266","https://openalex.org/W4291625303","https://openalex.org/W2805484063","https://openalex.org/W2737579912"],"abstract_inverted_index":{"In":[0],"this":[1,77],"paper":[2],"we":[3,90],"seek":[4],"to":[5,11,104,204],"exploit":[6],"information":[7,71],"geometry":[8],"in":[9,132,160],"order":[10],"define":[12],"the":[13,17,22,36,42,45,55,59,64,98,108,114,125,133,142,151,167,170,174,184,194,211],"Riemannian":[14,28],"structure":[15,29],"of":[16,44,49,58,169,186,210],"statistical":[18,60],"manifold":[19,61,117],"associated":[20],"with":[21,102,164],"Chan-Vese":[23,99,195],"active":[24,100,143,196],"contour":[25,144,197],"model.":[26,53],"This":[27],"is":[30,66,85,214],"obtained":[31],"through":[32],"a":[33,50,80,93],"relationship":[34],"between":[35],"contour's":[37],"Mumford-Shah":[38],"energy":[39],"functional":[40],"and":[41,84,148,180],"likelihood":[43],"categorical":[46],"latent":[47],"variables":[48],"Gaussian":[51],"mixture":[52],"Accordingly":[54],"natural":[56,94,116,153],"metric":[57],"formed":[62],"by":[63,68],"contours":[65],"determined":[67],"their":[69],"Fisher":[70],"matrix.":[72],"Mathematical":[73],"developments":[74],"show":[75,172],"that":[76,150,173],"matrix":[78],"has":[79],"closed-form":[81],"analytic":[82],"expression":[83],"diagonal.":[86],"Based":[87],"on":[88,113,137,193],"this,":[89],"subsequently":[91],"develop":[92],"gradient":[95,127,154],"algorithm":[96,129,155],"for":[97],"contour,":[101],"application":[103,203],"image":[105,189],"segmentation.":[106],"Because":[107],"proposed":[109,152,175,212],"method":[110,176,213],"performs":[111],"optimization":[112],"parameters":[115],"it":[118],"attains":[119],"dramatically":[120],"faster":[121],"convergence":[122],"rates":[123],"than":[124],"Euclidean":[126],"descent":[128],"commonly":[130],"used":[131],"literature.":[134],"Experiments":[135],"performed":[136],"standard":[138],"test":[139],"images":[140],"from":[141,166],"literature":[145],"are":[146],"presented":[147],"confirm":[149],"delivers":[156],"accurate":[157],"segmentation":[158,190],"results":[159],"few":[161],"iterations.":[162],"Comparisons":[163],"methods":[165,191],"state":[168],"art":[171],"converges":[177],"extremely":[178],"fast,":[179],"could":[181],"improve":[182],"significantly":[183],"speed":[185],"many":[187],"existing":[188],"based":[192],"as":[198,200],"well":[199],"enable":[201],"its":[202],"new":[205],"problems.":[206],"A":[207],"MATLAB":[208],"implementation":[209],"available":[215],"at":[216],"http://www.stats.bris.ac.uk/~p12320/code/SmoothNaturalGradient4ChanVese.rar.":[217]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}