{"id":"https://openalex.org/W2086521634","doi":"https://doi.org/10.1007/s11263-010-0348-4","title":"On the Length and Area Regularization for Multiphase Level Set Segmentation","display_name":"On the Length and Area Regularization for Multiphase Level Set Segmentation","publication_year":2010,"publication_date":"2010-06-22","ids":{"openalex":"https://openalex.org/W2086521634","doi":"https://doi.org/10.1007/s11263-010-0348-4","mag":"2086521634"},"language":"en","primary_location":{"id":"doi:10.1007/s11263-010-0348-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11263-010-0348-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11263-010-0348-4.pdf","source":{"id":"https://openalex.org/S25538012","display_name":"International Journal of Computer Vision","issn_l":"0920-5691","issn":["0920-5691","1573-1405"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Vision","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11263-010-0348-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070739576","display_name":"Luca Bertelli","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Luca Bertelli","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA","Department of Electrical and Computer Eng., University of California, Santa Barbara, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Electrical and Computer Eng., University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009022144","display_name":"Shivkumar Chandrasekaran","orcid":"https://orcid.org/0000-0003-2508-5605"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shivkumar Chandrasekaran","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA","Department of Electrical and Computer Eng., University of California, Santa Barbara, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Electrical and Computer Eng., University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081112761","display_name":"Fr\u00e9d\u00e9ric Gibou","orcid":"https://orcid.org/0000-0001-7022-5262"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fr\u00e9d\u00e9ric Gibou","raw_affiliation_strings":["Department of Computer Science and Department of Mechanical Engineering, University of California, Santa Barbara, USA","Department of Computer Science and Department of Mechanical Engineering, University of California, Santa Barbara, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Department of Mechanical Engineering, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Computer Science and Department of Mechanical Engineering, University of California, Santa Barbara, USA#TAB#","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071938464","display_name":"B.S. Manjunath","orcid":"https://orcid.org/0000-0003-2804-3611"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. S. Manjunath","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA","Department of Electrical and Computer Eng., University of California, Santa Barbara, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Department of Electrical and Computer Eng., University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070739576"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":{"value":2890,"currency":"EUR","value_usd":3690},"apc_paid":{"value":2890,"currency":"EUR","value_usd":3690},"fwci":1.9396,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8740565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"90","issue":"3","first_page":"267","last_page":"282"},"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9901999831199646,"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/T11801","display_name":"Reservoir Engineering and Simulation Methods","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/segmentation","display_name":"Segmentation","score":0.7376091480255127},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7233046889305115},{"id":"https://openalex.org/keywords/spurious-relationship","display_name":"Spurious relationship","score":0.6435484886169434},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.5335655212402344},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.511347234249115},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5031930804252625},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.4994618892669678},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4908188283443451},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46401700377464294},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4454788863658905},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.4421302378177643},{"id":"https://openalex.org/keywords/segmentation-based-object-categorization","display_name":"Segmentation-based object categorization","score":0.4407901167869568},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.4106754958629608},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4056480824947357},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3793328106403351},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.36769169569015503},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.2804991602897644},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.24760133028030396},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.20359402894973755},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.16411757469177246}],"concepts":[{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.7376091480255127},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7233046889305115},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.6435484886169434},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.5335655212402344},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.511347234249115},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5031930804252625},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.4994618892669678},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4908188283443451},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46401700377464294},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4454788863658905},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.4421302378177643},{"id":"https://openalex.org/C25694479","wikidata":"https://www.wikidata.org/wiki/Q7446278","display_name":"Segmentation-based object categorization","level":5,"score":0.4407901167869568},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.4106754958629608},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4056480824947357},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3793328106403351},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.36769169569015503},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2804991602897644},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.24760133028030396},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.20359402894973755},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.16411757469177246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11263-010-0348-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11263-010-0348-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11263-010-0348-4.pdf","source":{"id":"https://openalex.org/S25538012","display_name":"International Journal of Computer Vision","issn_l":"0920-5691","issn":["0920-5691","1573-1405"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Vision","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt7bd1r7dm","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/7bd1r7dm","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computer Vision, vol 90, iss 3","raw_type":"article"},{"id":"pmh:qt7bd1r7dm","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/7bd1r7dm","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Bertelli, Luca; Chandrasekaran, Shivkumar; Gibou, Fr\u00c3\u00a9d\u00c3\u00a9ric; & Manjunath, B. S.(2010). On the Length and Area Regularization for Multiphase Level Set Segmentation. International Journal of Computer Vision, 90(3), pp 267-282. doi: 10.1007/s11263-010-0348-4. Retrieved from: http://www.escholarship.org/uc/item/7bd1r7dm","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s11263-010-0348-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11263-010-0348-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11263-010-0348-4.pdf","source":{"id":"https://openalex.org/S25538012","display_name":"International Journal of Computer Vision","issn_l":"0920-5691","issn":["0920-5691","1573-1405"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Vision","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1726460706","display_name":"III-CXT-Large: Working with Uncertain Data in Exploring Scientific Images","funder_award_id":"0808772","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3042470309","display_name":"Information Technology Research (ITR):  Next-Generation Bio-Molecular Imaging and Information Discovery","funder_award_id":"0331697","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3056042321","display_name":null,"funder_award_id":"III-0808772","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2086521634.pdf","grobid_xml":"https://content.openalex.org/works/W2086521634.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W45888090","https://openalex.org/W1483079458","https://openalex.org/W1511424638","https://openalex.org/W1523554224","https://openalex.org/W1593038947","https://openalex.org/W1595201262","https://openalex.org/W1604679511","https://openalex.org/W1615131515","https://openalex.org/W1648628932","https://openalex.org/W1654566671","https://openalex.org/W1991113069","https://openalex.org/W1992192543","https://openalex.org/W1998074270","https://openalex.org/W2016482013","https://openalex.org/W2016787456","https://openalex.org/W2081425135","https://openalex.org/W2098152234","https://openalex.org/W2104028907","https://openalex.org/W2104095591","https://openalex.org/W2108077184","https://openalex.org/W2109011174","https://openalex.org/W2112607495","https://openalex.org/W2116040950","https://openalex.org/W2123713213","https://openalex.org/W2128012355","https://openalex.org/W2128491350","https://openalex.org/W2132311780","https://openalex.org/W2132331553","https://openalex.org/W2133216625","https://openalex.org/W2133460451","https://openalex.org/W2134820502","https://openalex.org/W2136962287","https://openalex.org/W2141787796","https://openalex.org/W2143452246","https://openalex.org/W2144857435","https://openalex.org/W2146832981","https://openalex.org/W2148395215","https://openalex.org/W2151096925","https://openalex.org/W2165734775","https://openalex.org/W2914396913","https://openalex.org/W3023742835","https://openalex.org/W3211330693","https://openalex.org/W6635641001","https://openalex.org/W6636777225","https://openalex.org/W6677522362","https://openalex.org/W7034681534"],"related_works":["https://openalex.org/W3144569342","https://openalex.org/W2185902295","https://openalex.org/W2367921179","https://openalex.org/W2945274617","https://openalex.org/W657288383","https://openalex.org/W3080476861","https://openalex.org/W2372421320","https://openalex.org/W2373659438","https://openalex.org/W4313052709","https://openalex.org/W1986638347"],"abstract_inverted_index":{"In":[0,84,127],"this":[1,75,85,190],"paper":[2],"we":[3,87,187],"introduce":[4,188],"novel":[5],"regularization":[6,54,96,160,166,200],"techniques":[7],"for":[8],"level":[9,106,121,134],"set":[10,40,107,122,135],"segmentation":[11,113,148,194],"that":[12],"target":[13],"specifically":[14],"the":[15,21,31,47,71,81,111,116,119,130,133,142,146,159,185],"problem":[16],"of":[17,30,41,53,118,132,178],"multiphase":[18,22,82,112],"segmentation.":[19],"When":[20],"model":[23,69,186],"is":[24,76,151,168],"used":[25],"to":[26,46,141,158,171,198],"obtain":[27],"a":[28,38,67,154],"partitioning":[29],"image":[32],"in":[33,51,70,80,103,110,153,189],"more":[34,169],"than":[35],"two":[36],"regions,":[37],"new":[39],"issues":[42,90],"arise":[43],"with":[44,196],"respect":[45,197],"single":[48,72],"phase":[49,73],"case":[50],"terms":[52,161],"strategies.":[55],"For":[56],"example,":[57],"if":[58],"smoothing":[59],"or":[60],"shrinking":[61],"each":[62,105],"contour":[63],"individually":[64],"could":[65],"be":[66],"good":[68],"case,":[74],"not":[77],"necessarily":[78],"true":[79],"scenario.":[83],"paper,":[86,191],"address":[88],"these":[89],"designing":[91],"enhanced":[92],"length":[93],"and":[94,124,175],"area":[95],"terms,":[97],"whose":[98],"minimization":[99],"yields":[100],"evolution":[101],"equations":[102],"which":[104,137],"function":[108],"involved":[109],"can":[114],"\u201csense\u201d":[115],"presence":[117],"other":[120,128,176],"functions":[123],"evolve":[125],"accordingly.":[126],"words,":[129],"coupling":[131],"function,":[136],"before":[138],"was":[139],"limited":[140],"data":[143],"term":[144],"(i.e.":[145],"proper":[147],"driving":[149],"force),":[150],"extended":[152],"mathematically":[155],"principled":[156],"way":[157],"as":[162],"well.":[163],"The":[164],"resulting":[165],"technique":[167],"suitable":[170],"eliminate":[172],"spurious":[173],"regions":[174],"kind":[177],"artifacts.":[179],"An":[180],"extensive":[181],"experimental":[182],"evaluation":[183],"supports":[184],"showing":[192],"improved":[193],"performance":[195],"traditional":[199],"techniques.":[201]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}