{"id":"https://openalex.org/W7099468835","doi":null,"title":"Designing Spatially Coherent Minimizing Flows for","display_name":"Designing Spatially Coherent Minimizing Flows for","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W7099468835"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.60.1756","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.60.1756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.enpc.fr/certis/research/../Papers/05iccv_a.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Variational Problems Based","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Variational Problems Based","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021255142","display_name":"Guillaume Charpiat","orcid":"https://orcid.org/0009-0003-6000-9410","observed_orcids":["https://orcid.org/0009-0003-6000-9410"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guillaume Charpiat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111878926","display_name":"Renaud Keriven","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Renaud Keriven","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5006464572","display_name":"Olivier D. Faugeras","orcid":"https://orcid.org/0000-0001-8363-1550","observed_orcids":["https://orcid.org/0000-0001-8363-1550"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Olivier Faugeras","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.65821959,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9911999702453613,"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":0.9911999702453613,"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":0.00279999990016222,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.0006000000284984708,"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/snakes","display_name":"snakes","score":0.9929999709129333},{"id":"https://openalex.org/keywords/gradient-flow","display_name":"gradient flow","score":0.7620000243186951},{"id":"https://openalex.org/keywords/local-minima","display_name":"local minima","score":0.6389999985694885},{"id":"https://openalex.org/keywords/sensitivity-to-initial-conditions","display_name":"sensitivity to initial conditions","score":0.8740000128746033},{"id":"https://openalex.org/keywords/variational-problems","display_name":"variational problems","score":0.7049999833106995},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"image segmentation","score":0.5270000100135803},{"id":"https://openalex.org/keywords/shape-optimization","display_name":"shape optimization","score":0.33000001311302185}],"concepts":[{"id":"https://openalex.org/C2985909886","wikidata":"https://www.wikidata.org/wiki/Q193147","display_name":"Spatial coherence","level":3,"score":0.6769999861717224},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.6503000259399414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5306000113487244},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4717999994754791},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4140999913215637},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.38449999690055847},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3596999943256378},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.35679998993873596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.30730000138282776},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.30550000071525574},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29510000348091125},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.28870001435279846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28859999775886536},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.2732999920845032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.257999986410141},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.2563999891281128}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.60.1756","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.60.1756","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.enpc.fr/certis/research/../Papers/05iccv_a.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2106518569","https://openalex.org/W2027548828","https://openalex.org/W7097194424","https://openalex.org/W134525565","https://openalex.org/W7099339140","https://openalex.org/W18256570","https://openalex.org/W1983631505","https://openalex.org/W168929274","https://openalex.org/W2104479126","https://openalex.org/W967482043"],"abstract_inverted_index":{"This":[0,41],"paper":[1],"tackles":[2],"an":[3,37],"important":[4],"aspect":[5],"of":[6,28,36,60,92,121,134,150],"the":[7,20,26,34,47,58,66,77,90,125,132,148,151],"variational":[8],"problems":[9],"involving":[10],"active":[11,48,152],"contours,":[12],"which":[13,158],"has":[14],"been":[15],"largely":[16,44],"overlooked":[17],"so":[18],"far:":[19],"optimization":[21],"by":[22,65,168],"gradient":[23,30,73,99],"flows.":[24,174],"Classically,":[25],"definition":[27],"a":[29],"depends":[31],"directly":[32],"on":[33],"choice":[35],"inner":[38,69,95,110],"product":[39],"structure.":[40],"consideration":[42],"is":[43,63,166],"absent":[45],"from":[46,108],"contours":[49,153],"literature.":[50],"Most":[51],"authors,":[52],"overtly":[53],"or":[54],"covertly,":[55],"assume":[56],"that":[57,147],"space":[59],"admissible":[61],"deformations":[62],"ruled":[64],"canonical":[67],"L":[68],"product.":[70,111],"The":[71],"classical":[72],"flows":[74,105],"reported":[75],"in":[76,128],"literature":[78],"are":[79],"relative":[80],"to":[81,117,130,155],"this":[82,86],"particular":[83],"choice.":[84],"In":[85,112],"paper,":[87],"we":[88,114],"investigate":[89],"relevance":[91],"using":[93],"other":[94,98,103],"products,":[96],"yielding":[97],"descents,":[100],"and":[101,163],"some":[102,144],"minimizing":[104,126,173],"not":[106],"deriving":[107],"any":[109],"particular,":[113],"show":[115,142],"how":[116],"induce":[118],"different":[119],"degrees":[120],"spatial":[122],"coherence":[123],"into":[124,137],"flow,":[127],"order":[129],"decrease":[131],"probability":[133],"getting":[135],"trapped":[136],"irrelevant":[138],"local":[139],"minima.":[140],"We":[141],"with":[143],"numerical":[145],"experiments":[146],"sensitivity":[149],"method":[154],"initial":[156],"conditions,":[157],"seriously":[159],"limits":[160],"its":[161,164],"applicability":[162],"efficiency,":[165],"alleviated":[167],"our":[169],"application-specific":[170],"spatially":[171],"coherent":[172]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-27T00:00:00"}