{"id":"https://openalex.org/W2095893111","doi":"https://doi.org/10.1109/icip.2007.4378941","title":"Implicit Evolution of Open Ended Curves","display_name":"Implicit Evolution of Open Ended Curves","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2095893111","doi":"https://doi.org/10.1109/icip.2007.4378941","mag":"2095893111"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2007.4378941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2007.4378941","pdf_url":null,"source":{"id":"https://openalex.org/S4210223844","display_name":"Proceedings - International Conference on Image Processing","issn_l":"1522-4880","issn":["1522-4880","2381-8549"],"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":"2007 IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113655054","display_name":"Saurav Basu","orcid":null},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saurav Basu","raw_affiliation_strings":["Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, USA","Virginia, University, Charlottesville"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, USA","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"Virginia, University, Charlottesville","institution_ids":["https://openalex.org/I51556381"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104086232","display_name":"Dipti Prasad Mukherjee","orcid":null},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Dipti Prasad Mukherjee","raw_affiliation_strings":["Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India","Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India 700108#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]},{"raw_affiliation_string":"Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India 700108#TAB#","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034452294","display_name":"Scott T. Acton","orcid":"https://orcid.org/0000-0003-3288-1255"},"institutions":[{"id":"https://openalex.org/I51556381","display_name":"University of Virginia","ror":"https://ror.org/0153tk833","country_code":"US","type":"education","lineage":["https://openalex.org/I51556381"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Scott T. Acton","raw_affiliation_strings":["Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, USA","Virginia, University, Charlottesville"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, USA","institution_ids":["https://openalex.org/I51556381"]},{"raw_affiliation_string":"Virginia, University, Charlottesville","institution_ids":["https://openalex.org/I51556381"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1427,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84620328,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"I ","last_page":" 261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12859","display_name":"Cell Image Analysis Techniques","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9872999787330627,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9865999817848206,"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/curvature","display_name":"Curvature","score":0.7810825109481812},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.617241382598877},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5771039128303528},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.5511311888694763},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5368587970733643},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5281161069869995},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.5031716227531433},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4541964828968048},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.44032448530197144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4393921196460724},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4383411407470703},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4299313724040985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41635048389434814},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.39973223209381104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3885434865951538},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3879636228084564},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3308488130569458},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3251161575317383},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1150728166103363}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7810825109481812},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.617241382598877},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5771039128303528},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.5511311888694763},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5368587970733643},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5281161069869995},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.5031716227531433},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4541964828968048},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.44032448530197144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4393921196460724},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4383411407470703},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4299313724040985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41635048389434814},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.39973223209381104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3885434865951538},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3879636228084564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3308488130569458},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3251161575317383},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1150728166103363},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2007.4378941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2007.4378941","pdf_url":null,"source":{"id":"https://openalex.org/S4210223844","display_name":"Proceedings - International Conference on Image Processing","issn_l":"1522-4880","issn":["1522-4880","2381-8549"],"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":"2007 IEEE International Conference on Image Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6499999761581421,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W644048992","https://openalex.org/W1517594990","https://openalex.org/W1986708301","https://openalex.org/W1989409369","https://openalex.org/W2017670148","https://openalex.org/W2097924771","https://openalex.org/W2108245606","https://openalex.org/W2145803225","https://openalex.org/W2150134853","https://openalex.org/W2155296963","https://openalex.org/W2167164919","https://openalex.org/W2998023265","https://openalex.org/W6654967778"],"related_works":["https://openalex.org/W4285411112","https://openalex.org/W2085033728","https://openalex.org/W2171299904","https://openalex.org/W55883722","https://openalex.org/W4390494008","https://openalex.org/W2922442631","https://openalex.org/W2053596378","https://openalex.org/W2168523118","https://openalex.org/W2394379345","https://openalex.org/W2391279145"],"abstract_inverted_index":{"We":[0,94],"introduce":[1],"a":[2,14,45,63,125],"theoretical":[3],"framework":[4],"for":[5,23],"implicit":[6],"evolution":[7,55],"of":[8,40,44,56,80,88,137],"an":[9],"open":[10,33],"ended":[11,34],"curve":[12,35,90],"in":[13,29,91,119],"two-dimensional":[15],"image":[16,75],"plane.":[17],"This":[18],"approach":[19],"is":[20,36,60,117],"particularly":[21],"suitable":[22],"identifying":[24,120],"thin":[25],"filamentous":[26],"structures":[27,108],"present":[28],"2D":[30],"images.":[31],"The":[32,53,78],"represented":[37],"as":[38,73,141],"the":[39,41,51,57,69,74,81,86,89,133],"level":[42],"set":[43],"function":[46],"(called":[47],"the*)":[48],"defined":[49],"on":[50,100],"curve.":[52],"iterative":[54],"curvature":[58,83],"map":[59,84],"guided":[61],"by":[62,68],"diffusion":[64],"equation":[65],"and":[66,103,131,145],"constrained":[67],"imaging":[70],"force,":[71],"such":[72,140],"intensity":[76],"gradient.":[77],"centerline":[79],"evolved":[82],"provides":[85],"position":[87],"subsequent":[92],"iterations.":[93],"have":[95],"tested":[96],"this":[97],"new":[98],"model":[99,116],"both":[101],"synthetic":[102],"real":[104],"images":[105],"that":[106,114,132],"contain":[107],"including":[109],"rivers/roads/arteries.":[110],"Nine":[111],"experiments":[112],"show":[113],"our":[115],"successful":[118],"complex":[121],"topological":[122],"filaments":[123],"with":[124],"low":[126],"9%":[127],"RMSE":[128],"pixel":[129],"error,":[130],"technique":[134],"withstands":[135],"effects":[136],"shape":[138],"irregularities":[139],"kinks,":[142],"bending,":[143],"circularity":[144],"inconsistent":[146],"edges.":[147]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}