{"id":"https://openalex.org/W2124974898","doi":"https://doi.org/10.1109/icassp.2003.1199473","title":"A parallel algorithm for solving the Eikonal equation","display_name":"A parallel algorithm for solving the Eikonal equation","publication_year":2003,"publication_date":"2003-12-22","ids":{"openalex":"https://openalex.org/W2124974898","doi":"https://doi.org/10.1109/icassp.2003.1199473","mag":"2124974898"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2003.1199473","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2003.1199473","pdf_url":null,"source":{"id":"https://openalex.org/S4363608982","display_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","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/A5058983346","display_name":"E. Dejnozkova","orcid":null},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"E. Dejnozkova","raw_affiliation_strings":["Center of Mathematical Morphology, Paris School of Mines, Fontainebleau, France","Center of Math. Morphology, Sch. of Mines of Paris, Fontainebleau, France"],"affiliations":[{"raw_affiliation_string":"Center of Mathematical Morphology, Paris School of Mines, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Center of Math. Morphology, Sch. of Mines of Paris, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000823984","display_name":"Petr Dokl\u00e1dal","orcid":"https://orcid.org/0000-0002-6502-7461"},"institutions":[{"id":"https://openalex.org/I70768539","display_name":"\u00c9cole Nationale Sup\u00e9rieure des Mines de Paris","ror":"https://ror.org/04y8cs423","country_code":"FR","type":"education","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Dokladal","raw_affiliation_strings":["Center of Mathematical Morphology, Paris School of Mines, Fontainebleau, France","Center of Math. Morphology, Sch. of Mines of Paris, Fontainebleau, France"],"affiliations":[{"raw_affiliation_string":"Center of Mathematical Morphology, Paris School of Mines, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]},{"raw_affiliation_string":"Center of Math. Morphology, Sch. of Mines of Paris, Fontainebleau, France","institution_ids":["https://openalex.org/I70768539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058983346"],"corresponding_institution_ids":["https://openalex.org/I70768539"],"apc_list":null,"apc_paid":null,"fwci":0.1832,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.55284553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"325"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9987000226974487,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9987000226974487,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9948999881744385,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eikonal-equation","display_name":"Eikonal equation","score":0.7565425634384155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6872822642326355},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6491073966026306},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49791550636291504},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4916396737098694},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.48140740394592285},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.47286367416381836},{"id":"https://openalex.org/keywords/interface","display_name":"Interface (matter)","score":0.45391562581062317},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4250481426715851},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.419629842042923},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.38793623447418213},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.38185960054397583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2462831437587738}],"concepts":[{"id":"https://openalex.org/C40375134","wikidata":"https://www.wikidata.org/wiki/Q1303846","display_name":"Eikonal equation","level":2,"score":0.7565425634384155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6872822642326355},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6491073966026306},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49791550636291504},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4916396737098694},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.48140740394592285},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.47286367416381836},{"id":"https://openalex.org/C113843644","wikidata":"https://www.wikidata.org/wiki/Q901882","display_name":"Interface (matter)","level":4,"score":0.45391562581062317},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4250481426715851},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.419629842042923},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.38793623447418213},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.38185960054397583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2462831437587738},{"id":"https://openalex.org/C129307140","wikidata":"https://www.wikidata.org/wiki/Q6795880","display_name":"Maximum bubble pressure method","level":3,"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/C157915830","wikidata":"https://www.wikidata.org/wiki/Q2928001","display_name":"Bubble","level":2,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2003.1199473","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2003.1199473","pdf_url":null,"source":{"id":"https://openalex.org/S4363608982","display_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1984469434","https://openalex.org/W1994875376","https://openalex.org/W1997709480","https://openalex.org/W2034188696","https://openalex.org/W2097924771","https://openalex.org/W2104477372","https://openalex.org/W2154018969","https://openalex.org/W6658954085","https://openalex.org/W6674670876"],"related_works":["https://openalex.org/W2608807293","https://openalex.org/W2911626006","https://openalex.org/W2551432773","https://openalex.org/W2188468195","https://openalex.org/W4321472356","https://openalex.org/W2626226742","https://openalex.org/W2474675250","https://openalex.org/W954578697","https://openalex.org/W2015352183","https://openalex.org/W4389252581"],"abstract_inverted_index":{"A":[0],"large":[1],"variety":[2],"of":[3,42,59,111,124],"methods":[4,19,127],"based":[5],"on":[6,70,131],"partial":[7],"differential":[8],"equations":[9],"(PDE)":[10],"use":[11],"the":[12,43,71,104,109,121],"interface":[13,45],"propagation.":[14],"For":[15],"their":[16,74],"flexibility":[17],"these":[18,65],"are":[20,67],"being":[21],"more":[22,24],"and":[23,37,73],"applied":[25],"to":[26,34,102],"various":[27],"problems":[28],"ranging":[29],"from":[30],"physics,":[31],"fluid":[32],"mechanics":[33],"control":[35],"theory":[36],"computer":[38],"vision.":[39],"The":[40],"solution":[41],"PDE-based":[44],"evolution":[46],"is":[47,77,108],"in":[48],"itself":[49],"a":[50,56,62,79,90,114,132],"complex":[51],"iterative":[52],"computational":[53],"task":[54],"involving":[55],"great":[57],"number":[58],"iterations":[60],"(unknown":[61],"priori).":[63],"Therefore,":[64],"applications":[66,112],"very":[68],"demanding":[69],"hardware":[72],"real-time":[75],"implementation":[76,84,123],"still":[78],"challenging":[80],"problem.":[81],"An":[82],"efficient":[83],"could":[85],"be":[86],"done":[87],"by":[88],"using":[89,113],"specific":[91,133],"parallel":[92,100,122],"architecture.":[93],"This":[94,118],"paper":[95],"proposes":[96],"an":[97],"original,":[98],"entirely":[99],"algorithm":[101,119],"solve":[103],"Eikonal":[105],"equation.":[106],"Which":[107],"base":[110],"weighted":[115],"distance":[116],"function.":[117],"allows":[120],"active":[125],"contours":[126],"or":[128],"continuous":[129],"watershed":[130],"hardware.":[134]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}