{"id":"https://openalex.org/W1987394250","doi":"https://doi.org/10.1137/080730627","title":"Local Scale Measure from the Topographic Map and Application to Remote Sensing Images","display_name":"Local Scale Measure from the Topographic Map and Application to Remote Sensing Images","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1987394250","doi":"https://doi.org/10.1137/080730627","mag":"1987394250"},"language":"en","primary_location":{"id":"doi:10.1137/080730627","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080730627","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-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/A5100372676","display_name":"Bin Luo","orcid":"https://orcid.org/0000-0001-5948-5055"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bin Luo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055550697","display_name":"Jean\u2013Fran\u00e7ois Aujol","orcid":"https://orcid.org/0000-0001-6716-0509"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Aujol","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081945174","display_name":"Yann Gousseau","orcid":"https://orcid.org/0000-0001-5249-0847"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yann Gousseau","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100372676"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.593,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.95064638,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"8","issue":"1","first_page":"1","last_page":"29"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.3244999945163727,"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":0.3244999945163727,"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/T10689","display_name":"Remote-Sensing Image Classification","score":0.19480000436306,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13282","display_name":"Automated Road and Building Extraction","score":0.120899997651577,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/scale","display_name":"Scale (ratio)","score":0.76380854845047},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.644416093826294},{"id":"https://openalex.org/keywords/scale-space","display_name":"Scale space","score":0.6303989887237549},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5693824887275696},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5201935768127441},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4861885905265808},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.48576071858406067},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47127196192741394},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.46004369854927063},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4367656111717224},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43329450488090515},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4291342794895172},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.37634798884391785},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.3713815212249756},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.337466835975647},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2176644206047058},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.20791402459144592},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.12807148694992065},{"id":"https://openalex.org/keywords/cartography","display_name":"Cartography","score":0.12293758988380432}],"concepts":[{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.76380854845047},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.644416093826294},{"id":"https://openalex.org/C99102927","wikidata":"https://www.wikidata.org/wiki/Q3058184","display_name":"Scale space","level":4,"score":0.6303989887237549},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5693824887275696},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5201935768127441},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4861885905265808},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.48576071858406067},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47127196192741394},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.46004369854927063},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4367656111717224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43329450488090515},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4291342794895172},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.37634798884391785},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3713815212249756},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.337466835975647},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2176644206047058},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.20791402459144592},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.12807148694992065},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.12293758988380432},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/080730627","is_oa":false,"landing_page_url":"https://doi.org/10.1137/080730627","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00988782v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00988782","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2009, 8 (1), pp.1-29","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1539437305","https://openalex.org/W1554544485","https://openalex.org/W1699734612","https://openalex.org/W1986721537","https://openalex.org/W2008732357","https://openalex.org/W2028797628","https://openalex.org/W2034501924","https://openalex.org/W2049701826","https://openalex.org/W2051156621","https://openalex.org/W2076035429","https://openalex.org/W2089231054","https://openalex.org/W2093555426","https://openalex.org/W2095771309","https://openalex.org/W2100533333","https://openalex.org/W2103559027","https://openalex.org/W2108597246","https://openalex.org/W2109200236","https://openalex.org/W2112009428","https://openalex.org/W2130319358","https://openalex.org/W2132765599","https://openalex.org/W2151103935","https://openalex.org/W2156575092","https://openalex.org/W2157691228","https://openalex.org/W2167687153","https://openalex.org/W2172188317","https://openalex.org/W4297845835"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4255628145","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W2808854221","https://openalex.org/W2360673138","https://openalex.org/W2809370583","https://openalex.org/W2808690056","https://openalex.org/W2037917047"],"abstract_inverted_index":{"In":[0],"this":[1,57],"paper,":[2],"we":[3,88,128],"propose":[4],"a":[5,38,42,81,163],"spatially":[6,166],"accurate":[7,167],"definition":[8,15,143],"of":[9,16,24,30,34,41,50,102,169],"scale":[10,18,55,98,125,142,149],"for":[11,84,175],"images.":[12,86],"The":[13],"proposed":[14,94,160],"local":[17,141,170],"relies":[19],"on":[20,116,132],"the":[21,25,28,51,54,63,71,74,79,90,93,103,108,117,147,159,173],"hierarchical":[22],"structure":[23],"topographic":[26],"map,":[27],"set":[29],"all":[31],"level":[32,43],"lines":[33,67],"an":[35],"image.":[36],"Namely,":[37],"connected":[39],"component":[40],"line":[44],"is":[45,59,76],"associated":[46],"with":[47,144],"each":[48],"point":[49,58],"image":[52],"and":[53,96,121,134,137,165],"at":[56],"then":[60],"computed":[61],"from":[62],"corresponding":[64],"shape.":[65],"Level":[66],"are":[68],"selected":[69],"under":[70],"assumption":[72,83],"that":[73,158],"blur":[75],"uniform":[77],"over":[78],"image,":[80],"realistic":[82],"satellite":[85,135],"First,":[87],"discuss":[89],"links":[91],"between":[92,119],"approach":[95],"recent":[97],"definitions":[99],"making":[100],"use":[101],"total":[104],"variation":[105],"flow":[106],"or":[107,152],"Rudin\u2013Osher\u2013Fatemi":[109],"model.":[110],"This":[111],"comparison":[112],"sheds":[113],"some":[114],"light":[115],"relationships":[118],"morphological":[120,153],"variational":[122],"approaches":[123],"to":[124],"definitions.":[126],"Then":[127],"perform":[129],"several":[130],"experiments":[131,156],"synthetic":[133],"images":[136],"numerically":[138],"compare":[139],"our":[140],"results":[145],"using":[146],"linear":[148],"space,":[150],"variational,":[151],"approaches.":[154],"These":[155],"suggest":[157],"method":[161],"enables":[162],"robust":[164],"computation":[168],"scales,":[171],"without":[172],"need":[174],"complex":[176],"parameter":[177],"tuning.":[178]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}