{"id":"https://openalex.org/W2137117880","doi":"https://doi.org/10.1109/tip.2009.2017343","title":"Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution","display_name":"Variational B-Spline Level-Set: A Linear Filtering Approach for Fast Deformable Model Evolution","publication_year":2009,"publication_date":"2009-04-28","ids":{"openalex":"https://openalex.org/W2137117880","doi":"https://doi.org/10.1109/tip.2009.2017343","mag":"2137117880","pmid":"https://pubmed.ncbi.nlm.nih.gov/19403364"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2009.2017343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2017343","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/159806","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037356492","display_name":"Olivier Bernard","orcid":"https://orcid.org/0000-0003-0752-9946"},"institutions":[{"id":"https://openalex.org/I154526488","display_name":"Inserm","ror":"https://ror.org/02vjkv261","country_code":"FR","type":"government","lineage":["https://openalex.org/I154526488"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I48430043","display_name":"Institut National des Sciences Appliqu\u00e9es de Lyon","ror":"https://ror.org/050jn9y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I48430043"]},{"id":"https://openalex.org/I4210138704","display_name":"Centre de Recherche en Acquisition et Traitement de l'Image pour la Sant\u00e9","ror":"https://ror.org/03smk3872","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210100596","https://openalex.org/I4210105738","https://openalex.org/I4210138704","https://openalex.org/I4210159245","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"O. Bernard","raw_affiliation_strings":["CREATIS, INSA, UCB, CNRS UMR 5220, Inserm U630, 69621 Villeurbanne Cedex, France. bernard@creatis.insa-lyon.fr","CREATIS, UCB, Villeurbanne"],"affiliations":[{"raw_affiliation_string":"CREATIS, INSA, UCB, CNRS UMR 5220, Inserm U630, 69621 Villeurbanne Cedex, France. bernard@creatis.insa-lyon.fr","institution_ids":["https://openalex.org/I154526488","https://openalex.org/I48430043","https://openalex.org/I1294671590","https://openalex.org/I4210138704"]},{"raw_affiliation_string":"CREATIS, UCB, Villeurbanne","institution_ids":["https://openalex.org/I4210138704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026215878","display_name":"Denis Friboulet","orcid":"https://orcid.org/0000-0002-9166-7964"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210138704","display_name":"Centre de Recherche en Acquisition et Traitement de l'Image pour la Sant\u00e9","ror":"https://ror.org/03smk3872","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210095849","https://openalex.org/I4210100596","https://openalex.org/I4210105738","https://openalex.org/I4210138704","https://openalex.org/I4210159245","https://openalex.org/I4405259976","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Friboulet","raw_affiliation_strings":["CREATIS, INSA, UCB, CNRS/UMR, Villeurbanne, France","CREATIS, UCB, Villeurbanne"],"affiliations":[{"raw_affiliation_string":"CREATIS, INSA, UCB, CNRS/UMR, Villeurbanne, France","institution_ids":["https://openalex.org/I4210138704","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CREATIS, UCB, Villeurbanne","institution_ids":["https://openalex.org/I4210138704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113663605","display_name":"P. Th\u00e9venaz","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"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"P. Thevenaz","raw_affiliation_strings":["Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Biomed. Imaging Group, Ecole Polytech. federate de Lausanne, Lausanne"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Biomed. Imaging Group, Ecole Polytech. federate de Lausanne, Lausanne","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027830035","display_name":"Micha\u00ebl Unser","orcid":"https://orcid.org/0000-0003-1248-2513"},"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"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"M. Unser","raw_affiliation_strings":["Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Biomed. Imaging Group, Ecole Polytech. federate de Lausanne, Lausanne"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Biomed. Imaging Group, Ecole Polytech. federate de Lausanne, Lausanne","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5037356492"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I4210138704","https://openalex.org/I48430043"],"apc_list":null,"apc_paid":null,"fwci":11.81,"has_fulltext":false,"cited_by_count":170,"citation_normalized_percentile":{"value":0.98855347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"18","issue":"6","first_page":"1179","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation 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"}},"topics":[{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation 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/T10531","display_name":"Advanced Vision and Imaging","score":0.9950000047683716,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9937999844551086,"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/b-spline","display_name":"B-spline","score":0.6549199223518372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6430598497390747},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5662782788276672},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5518251657485962},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5459162592887878},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4996354579925537},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49327653646469116},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.4711655080318451},{"id":"https://openalex.org/keywords/energy-functional","display_name":"Energy functional","score":0.45992574095726013},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.44070926308631897},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4397297203540802},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34624961018562317},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.337371289730072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28125712275505066},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2656722068786621},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21661940217018127},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.15501198172569275},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.12621578574180603},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.09488603472709656}],"concepts":[{"id":"https://openalex.org/C15945459","wikidata":"https://www.wikidata.org/wiki/Q2083109","display_name":"B-spline","level":2,"score":0.6549199223518372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6430598497390747},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5662782788276672},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5518251657485962},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5459162592887878},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4996354579925537},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49327653646469116},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.4711655080318451},{"id":"https://openalex.org/C191640071","wikidata":"https://www.wikidata.org/wiki/Q5377056","display_name":"Energy functional","level":2,"score":0.45992574095726013},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.44070926308631897},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4397297203540802},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34624961018562317},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.337371289730072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28125712275505066},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2656722068786621},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21661940217018127},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.15501198172569275},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.12621578574180603},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.09488603472709656},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","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":"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":"D005453","descriptor_name":"Fluorescence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005453","descriptor_name":"Fluorescence","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005453","descriptor_name":"Fluorescence","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":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D012815","descriptor_name":"Signal Processing, Computer-Assisted","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","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":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1109/tip.2009.2017343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2009.2017343","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:19403364","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19403364","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:159806","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/159806","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:159806","is_oa":true,"landing_page_url":"http://bigwww.epfl.ch/publications/bernard0901.html","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":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:159806","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/159806","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8600000143051147}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1498640224","https://openalex.org/W1506879382","https://openalex.org/W1529871791","https://openalex.org/W1598868422","https://openalex.org/W1888550275","https://openalex.org/W1982463960","https://openalex.org/W1987869189","https://openalex.org/W1992773101","https://openalex.org/W2003410902","https://openalex.org/W2009967126","https://openalex.org/W2010810556","https://openalex.org/W2027548828","https://openalex.org/W2029725852","https://openalex.org/W2046701074","https://openalex.org/W2050921210","https://openalex.org/W2090903445","https://openalex.org/W2093834886","https://openalex.org/W2102187580","https://openalex.org/W2104028907","https://openalex.org/W2105556527","https://openalex.org/W2113726946","https://openalex.org/W2114487471","https://openalex.org/W2116040950","https://openalex.org/W2118420236","https://openalex.org/W2125968930","https://openalex.org/W2132363464","https://openalex.org/W2137684578","https://openalex.org/W2140170359","https://openalex.org/W2142054519","https://openalex.org/W2147484997","https://openalex.org/W2150868598","https://openalex.org/W2159955373","https://openalex.org/W2162321358","https://openalex.org/W2331108513","https://openalex.org/W2988564852","https://openalex.org/W3211330693","https://openalex.org/W4212781311","https://openalex.org/W6631629804","https://openalex.org/W6675789633","https://openalex.org/W6680436801"],"related_works":["https://openalex.org/W1981039615","https://openalex.org/W1690623585","https://openalex.org/W2499055041","https://openalex.org/W4243970242","https://openalex.org/W1949299996","https://openalex.org/W3123557714","https://openalex.org/W2964021668","https://openalex.org/W2375026377","https://openalex.org/W2059465695","https://openalex.org/W2131662362"],"abstract_inverted_index":{"In":[0],"the":[1,17,30,47,60,66,70,74,79,82,90,110,141,162,170,173,176,182],"field":[2],"of":[3,12,16,65,81,89,99,125,140,175,184],"image":[4],"segmentation,":[5],"most":[6],"level-set-based":[7],"active-contour":[8,48],"approaches":[9],"take":[10],"advantage":[11],"a":[13,26,36,42,63,77,106,123,135,148,152],"discrete":[14],"representation":[15],"associated":[18],"implicit":[19,31],"function.":[20],"We":[21,93,180],"present":[22],"in":[23,87,118,161],"this":[24,54,100,115,185],"paper":[25],"different":[27],"formulation":[28,55],"where":[29],"function":[32,39],"is":[33,84],"modeled":[34],"as":[35,62,122,147,189,191],"continuous":[37],"parametric":[38],"expressed":[40,104],"on":[41,69,187],"B-spline":[43,91,111,153,178],"basis.":[44],"Starting":[45],"from":[46,194],"energy":[49],"functional,":[50],"we":[51],"show":[52,95],"that":[53,96],"allows":[56],"us":[57],"to":[58],"compute":[59],"solution":[61],"restriction":[64],"variational":[67],"problem":[68],"space":[71],"spanned":[72],"by":[73],"B-splines.":[75],"As":[76,134],"consequence,":[78,137],"minimization":[80,101],"functional":[83],"directly":[85],"obtained":[86],"terms":[88],"coefficients.":[92],"also":[94],"each":[97,138],"step":[98,139],"may":[102,117,144],"be":[103,120,145,166],"through":[105],"convolution":[107,116],"operation.":[108],"Because":[109],"functions":[112],"are":[113],"separable,":[114],"turn":[119],"performed":[121],"sequence":[124],"simple":[126],"1-D":[127],"convolutions,":[128],"which":[129,164],"yields":[130],"an":[131,158],"efficient":[132],"algorithm.":[133],"further":[136],"level-set":[142],"evolution":[143],"interpreted":[146],"filtering":[149,156],"operation":[150],"with":[151],"kernel.":[154,179],"Such":[155],"induces":[157],"intrinsic":[159],"smoothing":[160],"algorithm,":[163],"can":[165],"controlled":[167],"explicitly":[168],"via":[169],"degree":[171],"and":[172],"scale":[174],"chosen":[177],"illustrate":[181],"behavior":[183],"approach":[186],"simulated":[188],"well":[190],"experimental":[192],"images":[193],"various":[195],"fields.":[196]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":13},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":20},{"year":2013,"cited_by_count":18},{"year":2012,"cited_by_count":14}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
