{"id":"https://openalex.org/W2295214370","doi":"https://doi.org/10.1109/cvpr.2010.5539900","title":"Morphological snakes","display_name":"Morphological snakes","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2295214370","doi":"https://doi.org/10.1109/cvpr.2010.5539900","mag":"2295214370"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2010.5539900","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2010.5539900","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://oa.upm.es/6913/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062208799","display_name":"Luis \u00c1lvarez","orcid":"https://orcid.org/0000-0002-6953-9587"},"institutions":[{"id":"https://openalex.org/I119635470","display_name":"Universidad de Las Palmas de Gran Canaria","ror":"https://ror.org/01teme464","country_code":"ES","type":"education","lineage":["https://openalex.org/I119635470"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Luis Alvarez","raw_affiliation_strings":["Dep. Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran, Canaria","Department Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran Canaria, Spain"],"affiliations":[{"raw_affiliation_string":"Dep. Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran, Canaria","institution_ids":["https://openalex.org/I119635470"]},{"raw_affiliation_string":"Department Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran Canaria, Spain","institution_ids":["https://openalex.org/I119635470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014943420","display_name":"Luis Baumela","orcid":"https://orcid.org/0000-0001-6910-4359"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis Baumela","raw_affiliation_strings":["Dep. Inteligencia Artificial Facultad Inform\u00e1tica, Universidad Polit\u00e9cnica de Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Dep. Inteligencia Artificial Facultad Inform\u00e1tica, Universidad Polit\u00e9cnica de Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071857278","display_name":"Pedro Henr\u00edquez","orcid":"https://orcid.org/0000-0001-6582-5351"},"institutions":[{"id":"https://openalex.org/I119635470","display_name":"Universidad de Las Palmas de Gran Canaria","ror":"https://ror.org/01teme464","country_code":"ES","type":"education","lineage":["https://openalex.org/I119635470"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pedro Henriquez","raw_affiliation_strings":["Dep. Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran, Canaria","Department Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran Canaria, Spain"],"affiliations":[{"raw_affiliation_string":"Dep. Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran, Canaria","institution_ids":["https://openalex.org/I119635470"]},{"raw_affiliation_string":"Department Inform\u00e1tica y Sistemas, Universidad de las Palmas de Gran Canaria, Spain","institution_ids":["https://openalex.org/I119635470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037348250","display_name":"Pablo M\u00e1rquez-Neila","orcid":"https://orcid.org/0000-0001-5722-7618"},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Pablo Marquez-Neila","raw_affiliation_strings":["Dep. Inteligencia Artificial Facultad Inform\u00e1tica, Universidad Polit\u00e9cnica de Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Dep. Inteligencia Artificial Facultad Inform\u00e1tica, Universidad Polit\u00e9cnica de Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062208799"],"corresponding_institution_ids":["https://openalex.org/I119635470"],"apc_list":null,"apc_paid":null,"fwci":4.8491,"has_fulltext":true,"cited_by_count":65,"citation_normalized_percentile":{"value":0.95790464,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2197","last_page":"2202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9739000201225281,"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":0.9541000127792358,"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/piecewise","display_name":"Piecewise","score":0.7168653607368469},{"id":"https://openalex.org/keywords/constant-function","display_name":"Constant function","score":0.5219844579696655},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.48818379640579224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4876445531845093},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4822195768356323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4743950366973877},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47349271178245544},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.4624808728694916},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45344334840774536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4495568871498108},{"id":"https://openalex.org/keywords/mathematical-morphology","display_name":"Mathematical morphology","score":0.4333701431751251},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42472583055496216},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3983248472213745},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35190528631210327},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3284429907798767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18121623992919922},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.15177226066589355},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09900683164596558}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7168653607368469},{"id":"https://openalex.org/C153658351","wikidata":"https://www.wikidata.org/wiki/Q746264","display_name":"Constant function","level":3,"score":0.5219844579696655},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48818379640579224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4876445531845093},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4822195768356323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4743950366973877},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47349271178245544},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.4624808728694916},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45344334840774536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4495568871498108},{"id":"https://openalex.org/C185568154","wikidata":"https://www.wikidata.org/wiki/Q530242","display_name":"Mathematical morphology","level":4,"score":0.4333701431751251},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42472583055496216},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3983248472213745},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35190528631210327},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3284429907798767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18121623992919922},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.15177226066589355},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09900683164596558},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cvpr.2010.5539900","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2010.5539900","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition","raw_type":"proceedings-article"},{"id":"pmh:oai:oa.upm.es:6913","is_oa":true,"landing_page_url":"http://oa.upm.es/6913/","pdf_url":"http://oa.upm.es/6913/","source":{"id":"https://openalex.org/S4377196323","display_name":"UPM Digital Archive (Technical University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2010 | IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2010 | 13/06/2010 - 18/06/2010 | San Francisco, EEUU","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.307.5261","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.307.5261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dia.fi.upm.es/~pcr/publications/cvpr2010.pdf","raw_type":"text"},{"id":"pmh:oai:https://accedacris.ulpgc.es:10553/46196","is_oa":false,"landing_page_url":"http://hdl.handle.net/10553/46196","pdf_url":null,"source":{"id":"https://openalex.org/S4306400136","display_name":"Acceda (Universidad de Las Palmas de Gran Canaria)","issn_l":null,"issn":null,"is_oa":false,"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":"Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition [ISSN 1063-6919] (5539900), p. 2197-2202","raw_type":""}],"best_oa_location":{"id":"pmh:oai:oa.upm.es:6913","is_oa":true,"landing_page_url":"http://oa.upm.es/6913/","pdf_url":"http://oa.upm.es/6913/","source":{"id":"https://openalex.org/S4377196323","display_name":"UPM Digital Archive (Technical University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I88060688","host_organization_name":"Universidad Polit\u00e9cnica de Madrid","host_organization_lineage":["https://openalex.org/I88060688"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2010 | IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2010 | 13/06/2010 - 18/06/2010 | San Francisco, EEUU","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2295214370.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W1501247794","https://openalex.org/W1558633536","https://openalex.org/W1967110495","https://openalex.org/W1977946246","https://openalex.org/W1991113069","https://openalex.org/W2086921140","https://openalex.org/W2130250107","https://openalex.org/W2132515211","https://openalex.org/W2133216625","https://openalex.org/W3211330693","https://openalex.org/W6633458381","https://openalex.org/W6679175010"],"related_works":["https://openalex.org/W2095700166","https://openalex.org/W2051018371","https://openalex.org/W2888635693","https://openalex.org/W2040445660","https://openalex.org/W2048747447","https://openalex.org/W1966076396","https://openalex.org/W4236889273","https://openalex.org/W2004238570","https://openalex.org/W2141091868","https://openalex.org/W3157737852"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,25,41,68,80],"morphological":[3,22,32],"approach":[4,74],"to":[5,35,78],"curve":[6],"evolution.":[7],"The":[8],"differential":[9],"operators":[10,33],"used":[11],"in":[12],"the":[13,31,36,63,86],"standard":[14],"PDE":[15,37],"snake":[16],"models":[17],"can":[18],"be":[19],"approached":[20],"using":[21],"operations":[23],"on":[24,51,94],"binary":[26,69],"level":[27,64],"set.":[28],"By":[29],"combining":[30],"associated":[34],"components":[38],"we":[39,89],"achieve":[40],"new":[42,47],"snakes":[43],"evolution":[44],"algorithm.":[45],"This":[46],"solution":[48],"is":[49,66],"based":[50],"numerical":[52,92],"methods":[53],"which":[54],"are":[55],"very":[56],"simple,":[57],"fast":[58],"and":[59],"stable.":[60],"Moreover,":[61],"since":[62],"set":[65],"just":[67],"piecewise":[70],"constant":[71],"function,":[72],"this":[73],"does":[75],"not":[76],"require":[77],"estimate":[79],"contour":[81],"distance":[82],"function.":[83],"To":[84],"illustrate":[85],"results":[87],"obtained":[88],"present":[90],"some":[91],"experiments":[93],"real":[95],"images.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}