{"id":"https://openalex.org/W1995135190","doi":"https://doi.org/10.1007/s11263-008-0145-5","title":"Building Blocks for Computer Vision with Stochastic Partial Differential Equations","display_name":"Building Blocks for Computer Vision with Stochastic Partial Differential Equations","publication_year":2008,"publication_date":"2008-07-09","ids":{"openalex":"https://openalex.org/W1995135190","doi":"https://doi.org/10.1007/s11263-008-0145-5","mag":"1995135190"},"language":"en","primary_location":{"id":"doi:10.1007/s11263-008-0145-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11263-008-0145-5","pdf_url":null,"source":{"id":"https://openalex.org/S25538012","display_name":"International Journal of Computer Vision","issn_l":"0920-5691","issn":["0920-5691","1573-1405"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Vision","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/A5102789360","display_name":"Tobias Preu\u00dfer","orcid":"https://orcid.org/0000-0002-4339-8675"},"institutions":[{"id":"https://openalex.org/I180437899","display_name":"University of Bremen","ror":"https://ror.org/04ers2y35","country_code":"DE","type":"education","lineage":["https://openalex.org/I180437899"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tobias Preusser","raw_affiliation_strings":["Center of Complex Systems and Visualization, Bremen University, Bremen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Complex Systems and Visualization, Bremen University, Bremen, Germany","institution_ids":["https://openalex.org/I180437899"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058673315","display_name":"Hanno Scharr","orcid":"https://orcid.org/0000-0002-8555-6416"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hanno Scharr","raw_affiliation_strings":["Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany","Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany","institution_ids":["https://openalex.org/I171892758"]},{"raw_affiliation_string":"Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany#TAB#","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016852627","display_name":"Kai Krajsek","orcid":"https://orcid.org/0000-0003-3417-161X"},"institutions":[{"id":"https://openalex.org/I171892758","display_name":"Forschungszentrum J\u00fclich","ror":"https://ror.org/02nv7yv05","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I171892758"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kai Krajsek","raw_affiliation_strings":["Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany","Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany","institution_ids":["https://openalex.org/I171892758"]},{"raw_affiliation_string":"Institute for Chemistry and Dynamics of the Geosphere, Institute 3: Phytosphere, Forschungszentrum Juelich GmbH, Juelich, Germany#TAB#","institution_ids":["https://openalex.org/I171892758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083523340","display_name":"Robert M. Kirby","orcid":"https://orcid.org/0000-0001-5712-4141"},"institutions":[{"id":"https://openalex.org/I223532165","display_name":"University of Utah","ror":"https://ror.org/03r0ha626","country_code":"US","type":"education","lineage":["https://openalex.org/I223532165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert M. Kirby","raw_affiliation_strings":["School of Computing and Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA","School of Computing and Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA","institution_ids":["https://openalex.org/I223532165"]},{"raw_affiliation_string":"School of Computing and Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, USA","institution_ids":["https://openalex.org/I223532165"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102789360"],"corresponding_institution_ids":["https://openalex.org/I180437899"],"apc_list":{"value":3690,"currency":"USD","value_usd":3690},"apc_paid":null,"fwci":0.9285,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.78579411,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"80","issue":"3","first_page":"375","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9871000051498413,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental 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":0.982200026512146,"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/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.610392689704895},{"id":"https://openalex.org/keywords/polynomial-chaos","display_name":"Polynomial chaos","score":0.5919925570487976},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5701104402542114},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5375409126281738},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.5062386393547058},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.492872953414917},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.48400017619132996},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4768886864185333},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.4542534649372101},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.44041144847869873},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.43116897344589233},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4024354815483093},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3936961889266968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3805341124534607},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35975944995880127},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29209476709365845},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17336159944534302},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1708400547504425}],"concepts":[{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.610392689704895},{"id":"https://openalex.org/C197656079","wikidata":"https://www.wikidata.org/wiki/Q17147719","display_name":"Polynomial chaos","level":3,"score":0.5919925570487976},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5701104402542114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5375409126281738},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.5062386393547058},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.492872953414917},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.48400017619132996},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4768886864185333},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4542534649372101},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.44041144847869873},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.43116897344589233},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4024354815483093},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3936961889266968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3805341124534607},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35975944995880127},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29209476709365845},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17336159944534302},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1708400547504425},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s11263-008-0145-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11263-008-0145-5","pdf_url":null,"source":{"id":"https://openalex.org/S25538012","display_name":"International Journal of Computer Vision","issn_l":"0920-5691","issn":["0920-5691","1573-1405"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Vision","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.420.8808","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.420.8808","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utah.edu/~kirby/Publications/Kirby-31.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.490.5223","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.490.5223","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uni-bremen.de/zetem/DFG-Schwerpunkt/preprints/orig/PreusserScharrKrajsekKirby-2007.pdf","raw_type":"text"},{"id":"pmh:oai:fraunhofer.de:N-117602","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-117602.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer MEVIS","raw_type":"Journal Article"},{"id":"pmh:oai:juser.fz-juelich.de:59280","is_oa":false,"landing_page_url":"https://juser.fz-juelich.de/record/59280","pdf_url":null,"source":{"id":"https://openalex.org/S4306401090","display_name":"JuSER (Forschungszentrum J\u00fclich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I171892758","host_organization_name":"Forschungszentrum J\u00fclich","host_organization_lineage":["https://openalex.org/I171892758"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International journal of computer vision 80, 375 - 405 (2008). doi:10.1007/s11263-008-0145-5","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/217711","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/217711","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W12532419","https://openalex.org/W76866493","https://openalex.org/W99776242","https://openalex.org/W137476002","https://openalex.org/W1480191977","https://openalex.org/W1491716407","https://openalex.org/W1508960934","https://openalex.org/W1509918867","https://openalex.org/W1538934584","https://openalex.org/W1542808181","https://openalex.org/W1561471070","https://openalex.org/W1578285471","https://openalex.org/W1590012787","https://openalex.org/W1602874056","https://openalex.org/W1963743024","https://openalex.org/W1969067000","https://openalex.org/W1986585913","https://openalex.org/W2001159437","https://openalex.org/W2005288208","https://openalex.org/W2006513448","https://openalex.org/W2010942916","https://openalex.org/W2011350300","https://openalex.org/W2014655927","https://openalex.org/W2018159038","https://openalex.org/W2030255580","https://openalex.org/W2035795603","https://openalex.org/W2044390636","https://openalex.org/W2046076021","https://openalex.org/W2055646524","https://openalex.org/W2067074889","https://openalex.org/W2082621526","https://openalex.org/W2086532466","https://openalex.org/W2095605554","https://openalex.org/W2099699547","https://openalex.org/W2102116384","https://openalex.org/W2106062873","https://openalex.org/W2109863423","https://openalex.org/W2113517083","https://openalex.org/W2118877769","https://openalex.org/W2123977795","https://openalex.org/W2124871973","https://openalex.org/W2125803075","https://openalex.org/W2136602340","https://openalex.org/W2146052399","https://openalex.org/W2150134853","https://openalex.org/W2153101587","https://openalex.org/W2154504070","https://openalex.org/W2157719643","https://openalex.org/W2167720109","https://openalex.org/W2168874984","https://openalex.org/W2317002898","https://openalex.org/W2321957512","https://openalex.org/W2326704909","https://openalex.org/W2751023760","https://openalex.org/W2804099572","https://openalex.org/W2911730943","https://openalex.org/W3011612142","https://openalex.org/W3020339995","https://openalex.org/W3145803902","https://openalex.org/W3211400184","https://openalex.org/W4206428854","https://openalex.org/W4240153047","https://openalex.org/W4242273588","https://openalex.org/W4243961535","https://openalex.org/W4249022109","https://openalex.org/W4285719527","https://openalex.org/W6630486035","https://openalex.org/W6635302267","https://openalex.org/W6676598158","https://openalex.org/W6809221067"],"related_works":["https://openalex.org/W620239920","https://openalex.org/W109055908","https://openalex.org/W1546584948","https://openalex.org/W2060658157","https://openalex.org/W2972896374","https://openalex.org/W4237379163","https://openalex.org/W2164842548","https://openalex.org/W2085400897","https://openalex.org/W3150981116","https://openalex.org/W3136773326"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}