{"id":"https://openalex.org/W2049783800","doi":"https://doi.org/10.1109/tip.2012.2202674","title":"Efficient Algorithm for Level Set Method Preserving Distance Function","display_name":"Efficient Algorithm for Level Set Method Preserving Distance Function","publication_year":2012,"publication_date":"2012-06-05","ids":{"openalex":"https://openalex.org/W2049783800","doi":"https://doi.org/10.1109/tip.2012.2202674","mag":"2049783800","pmid":"https://pubmed.ncbi.nlm.nih.gov/22692909"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2012.2202674","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2012.2202674","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":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/169593","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026933333","display_name":"Virginia Estellers","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":true,"raw_author_name":"V. Estellers","raw_affiliation_strings":["Signal Processing Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne 1015, Switzerland. virginia.estellers@epfl.ch","Signal Process. Labs., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne 1015, Switzerland. virginia.estellers@epfl.ch","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Process. Labs., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074775708","display_name":"Dominique Zosso","orcid":"https://orcid.org/0000-0001-5685-4273"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"D. Zosso","raw_affiliation_strings":["Signal Processing Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Signal Process. Labs., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Process. Labs., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088277298","display_name":"Rongjie Lai","orcid":"https://orcid.org/0000-0002-3125-3321"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rongjie Lai","raw_affiliation_strings":["Department of Mathematics, University of Southern California, Los Angeles, CA, USA","Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Dept. of Math., Univ. of Southern California, Los Angeles, CA, USA#TAB#","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002037883","display_name":"Stanley Osher","orcid":"https://orcid.org/0000-0002-7900-4658"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Osher","raw_affiliation_strings":["Department of Mathematics, University of California, Los Angeles, CA, USA","Dept. of Math., Univ. of California- Los Angeles, Los Angeles, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Dept. of Math., Univ. of California- Los Angeles, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067782007","display_name":"Jean\u2010Philippe Thiran","orcid":"https://orcid.org/0000-0003-2938-9657"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"J. Thiran","raw_affiliation_strings":["Signal Processing Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Signal Process. Labs., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Signal Processing Laboratory, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Signal Process. Labs., Ecole Polytech. Fed. de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031210396","display_name":"Xavier Bresson","orcid":"https://orcid.org/0000-0002-7109-461X"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"X. Bresson","raw_affiliation_strings":["Department of Computer Science, City University of Hong Kong, Hong Kong, China","Dept. of Computer Science, City University of Hong Kong, Kowloon, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Dept. of Computer Science, City University of Hong Kong, Kowloon, China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5026933333"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":18.7354,"has_fulltext":false,"cited_by_count":86,"citation_normalized_percentile":{"value":0.99408584,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"21","issue":"12","first_page":"4722","last_page":"4734"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6645220518112183},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.6561018228530884},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.6117184162139893},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.5360816717147827},{"id":"https://openalex.org/keywords/binary-function","display_name":"Binary function","score":0.5198455452919006},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.4994845390319824},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.4917483627796173},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47179287672042847},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46279311180114746},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.4617479145526886},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4391750693321228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4114408493041992},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3479580581188202},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.3306998014450073}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6645220518112183},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.6561018228530884},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.6117184162139893},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.5360816717147827},{"id":"https://openalex.org/C105462591","wikidata":"https://www.wikidata.org/wiki/Q3737844","display_name":"Binary function","level":3,"score":0.5198455452919006},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.4994845390319824},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.4917483627796173},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47179287672042847},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46279311180114746},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.4617479145526886},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4391750693321228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4114408493041992},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3479580581188202},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.3306998014450073},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003952","descriptor_name":"Diagnostic Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D003952","descriptor_name":"Diagnostic Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D003952","descriptor_name":"Diagnostic Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016208","descriptor_name":"Databases, Factual","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":4,"locations":[{"id":"doi:10.1109/tip.2012.2202674","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2012.2202674","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:22692909","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/22692909","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:infoscience.epfl.ch:169593","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169593","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:169593","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/71712","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:169593","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/169593","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1541134818","https://openalex.org/W1591335477","https://openalex.org/W1604679511","https://openalex.org/W1845536947","https://openalex.org/W1978333359","https://openalex.org/W1979363725","https://openalex.org/W1979393293","https://openalex.org/W1991113069","https://openalex.org/W1991258631","https://openalex.org/W1999244633","https://openalex.org/W2019569173","https://openalex.org/W2021513670","https://openalex.org/W2028349405","https://openalex.org/W2038495454","https://openalex.org/W2040167422","https://openalex.org/W2045545335","https://openalex.org/W2056528953","https://openalex.org/W2090427126","https://openalex.org/W2093834886","https://openalex.org/W2097109632","https://openalex.org/W2098408658","https://openalex.org/W2100816864","https://openalex.org/W2105868963","https://openalex.org/W2108245606","https://openalex.org/W2109011174","https://openalex.org/W2113137767","https://openalex.org/W2116040950","https://openalex.org/W2116737017","https://openalex.org/W2122184585","https://openalex.org/W2128089874","https://openalex.org/W2128796205","https://openalex.org/W2133216625","https://openalex.org/W2135095945","https://openalex.org/W2138165282","https://openalex.org/W2139383790","https://openalex.org/W2140848835","https://openalex.org/W2142058898","https://openalex.org/W2143516773","https://openalex.org/W2146842127","https://openalex.org/W2155114019","https://openalex.org/W2159152281","https://openalex.org/W2164822588","https://openalex.org/W2167338900","https://openalex.org/W2561843528","https://openalex.org/W3211330693","https://openalex.org/W4292069163","https://openalex.org/W4301283118","https://openalex.org/W6677607857"],"related_works":["https://openalex.org/W2122184585","https://openalex.org/W3121464166","https://openalex.org/W1516196146","https://openalex.org/W2367921179","https://openalex.org/W2377107237","https://openalex.org/W1979393293","https://openalex.org/W2171493617","https://openalex.org/W2061028002","https://openalex.org/W2356712646","https://openalex.org/W2167354555"],"abstract_inverted_index":{"The":[0],"level":[1,28,40,48,72,117,160,208,251,268,294,320],"set":[2,29,41,49,73,118,161,209,252,269,295,321],"method":[3,30,42,119,311],"is":[4,31,56,75,81,90,213,232,239,307],"a":[5,52,200,255,304],"popular":[6],"technique":[7],"for":[8,120,158,176],"tracking":[9],"moving":[10],"interfaces":[11],"in":[12,192,207,267],"several":[13],"disciplines,":[14],"including":[15],"computer":[16],"vision":[17],"and":[18,107,129,187,226,246,314],"fluid":[19],"dynamics.":[20],"However,":[21,163],"despite":[22],"its":[23],"high":[24],"flexibility,":[25],"the":[26,39,47,64,67,71,78,84,94,98,116,133,138,148,159,164,169,180,188,243,250,259,263,273,325],"original":[27],"limited":[32,82,241],"by":[33,83,215,242],"two":[34,300],"important":[35],"numerical":[36,95],"issues.":[37],"First,":[38],"does":[43],"not":[44,240],"implicitly":[45],"preserve":[46,204],"function":[50,166,253,257,306],"as":[51,254],"distance":[53,152,170,205,256,292,305,326],"function,":[54],"which":[55,89,154,172,221,261],"necessary":[57],"to":[58,93,115,131,137,146,203,228,234,276,285,318],"estimate":[59],"accurately":[60],"geometric":[61],"features,":[62],"s.a.":[63,179],"curvature":[65],"or":[66],"contour":[68,149],"normal.":[69],"Second,":[70],"algorithm":[74,202,212,238,275],"slow":[76],"because":[77,124],"time":[79],"step":[80],"standard":[85,291],"Courant-Friedrichs-Lewy":[86],"(CFL)":[87],"condition,":[88],"also":[91,298],"essential":[92,175],"stability":[96],"of":[97],"iterative":[99],"scheme.":[100],"Recent":[101],"advances":[102],"with":[103],"graph":[104],"cut":[105],"methods":[106,111,283,322],"continuous":[108],"convex":[109],"relaxation":[110],"provide":[112,168,223],"powerful":[113],"alternatives":[114],"image":[121,279],"processing":[122],"problems":[123],"they":[125],"are":[126,155],"fast,":[127],"accurate,":[128],"guaranteed":[130],"find":[132],"global":[134],"minimizer":[135],"independently":[136],"initialization.":[139],"These":[140],"recent":[141,216],"techniques":[142],"use":[143],"binary":[144,165],"functions":[145,206],"represent":[147],"rather":[150],"than":[151,290],"functions,":[153],"usually":[156],"considered":[157],"method.":[162],"cannot":[167],"information,":[171],"can":[173,315],"be":[174,286,316],"some":[177],"applications,":[178],"surface":[181],"reconstruction":[182],"problem":[183,191,266],"from":[184],"scattered":[185],"points":[186],"cortex":[189],"segmentation":[190],"medical":[193],"imaging.":[194],"In":[195],"this":[196],"paper,":[197],"we":[198],"propose":[199],"fast":[201],"methods.":[210,270],"Our":[211],"inspired":[214],"efficient":[217,225],"l(1)":[218],"optimization":[219],"techniques,":[220],"will":[222],"an":[224],"easy":[227],"implement":[229],"algorithm.":[230],"It":[231],"interesting":[233],"note":[235],"that":[236,323],"our":[237,282,310],"CFL":[244],"condition":[245],"it":[247],"naturally":[248],"preserves":[249],"during":[258],"evolution,":[260],"avoids":[262],"classical":[264],"re-distancing":[265],"We":[271,297],"apply":[272],"proposed":[274],"carry":[277],"out":[278],"segmentation,":[280],"where":[281,302],"prove":[284],"5-6":[287],"times":[288],"faster":[289],"preserving":[293,303],"techniques.":[296],"present":[299],"applications":[301],"essential.":[308],"Nonetheless,":[309],"stays":[312],"generic":[313],"applied":[317],"any":[319],"require":[324],"information.":[327]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
