{"id":"https://openalex.org/W2127948743","doi":"https://doi.org/10.1137/130924731","title":"Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist","display_name":"Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2127948743","doi":"https://doi.org/10.1137/130924731","mag":"2127948743"},"language":"en","primary_location":{"id":"doi:10.1137/130924731","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130924731","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1304.2062","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012657462","display_name":"Ugo Boscain","orcid":"https://orcid.org/0000-0001-5450-275X"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"U. Boscain","raw_affiliation_strings":["CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es de l'Ecole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es de l'Ecole polytechnique (Route de Saclay, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]},{"raw_affiliation_string":"GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040657266","display_name":"Roman Chertovskih","orcid":"https://orcid.org/0000-0002-5179-4344"},"institutions":[{"id":"https://openalex.org/I4210096249","display_name":"Institute of Earthquake Prediction Theory and Mathematical Geophysics","ror":"https://ror.org/00s1q1t70","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210096249","https://openalex.org/I4210163714"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"R. A. Chertovskih","raw_affiliation_strings":["IEPT - Institute of Earthquake Prediction Theory and Mathematical Geophysics (Profsoyuznaya str. 84/32, Moscow 117997 Russia - Russia)","CEsA - Centre for Wind Energy and Atmospheric Flows (Portugal)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IEPT - Institute of Earthquake Prediction Theory and Mathematical Geophysics (Profsoyuznaya str. 84/32, Moscow 117997 Russia - Russia)","institution_ids":["https://openalex.org/I4210096249"]},{"raw_affiliation_string":"CEsA - Centre for Wind Energy and Atmospheric Flows (Portugal)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103269946","display_name":"Jean-Paul Gauthier","orcid":"https://orcid.org/0000-0002-8646-3238"},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J. P. Gauthier","raw_affiliation_strings":["GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)","LSIS - Laboratoire des Sciences de l'Information et des Syst\u00e8mes (Domaine Universitaire de Saint-J\u00e9r\u00f4me\r\nBatiment Polytech\r\nAvenue Escadrille Normandie-Niemen\r\n13397 MARSEILLE CEDEX 20  - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GECO - Geometric Control Design (CMAP - Centre de Math\u00e9matiques Appliqu\u00e9es \u00c9cole Polytechnique Route de Saclay 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I4210107641","https://openalex.org/I142476485"]},{"raw_affiliation_string":"LSIS - Laboratoire des Sciences de l'Information et des Syst\u00e8mes (Domaine Universitaire de Saint-J\u00e9r\u00f4me\r\nBatiment Polytech\r\nAvenue Escadrille Normandie-Niemen\r\n13397 MARSEILLE CEDEX 20  - France)","institution_ids":["https://openalex.org/I4210114274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089191503","display_name":"A. O. Remizov","orcid":"https://orcid.org/0000-0003-0405-2417"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. O. Remizov","raw_affiliation_strings":["SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies (via Bonomea, 265 - 34136 Trieste - Italy - Italy)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies (via Bonomea, 265 - 34136 Trieste - Italy - Italy)","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4387,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.96820388,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"7","issue":"2","first_page":"669","last_page":"695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9883000254631042,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9883000254631042,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.951200008392334,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9484000205993652,"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/inpainting","display_name":"Inpainting","score":0.7805440425872803},{"id":"https://openalex.org/keywords/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.7125880122184753},{"id":"https://openalex.org/keywords/hypoelliptic-operator","display_name":"Hypoelliptic operator","score":0.6833319664001465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6628778576850891},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5291932821273804},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45470884442329407},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.413989782333374},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.40517452359199524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3972892463207245},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34527623653411865},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33906424045562744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30900639295578003},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.23469707369804382},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22796696424484253},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2051880955696106},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1731896996498108}],"concepts":[{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.7805440425872803},{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.7125880122184753},{"id":"https://openalex.org/C187123786","wikidata":"https://www.wikidata.org/wiki/Q4138816","display_name":"Hypoelliptic operator","level":4,"score":0.6833319664001465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6628778576850891},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5291932821273804},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45470884442329407},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.413989782333374},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.40517452359199524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3972892463207245},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34527623653411865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33906424045562744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30900639295578003},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.23469707369804382},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22796696424484253},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2051880955696106},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1731896996498108},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C13982400","wikidata":"https://www.wikidata.org/wiki/Q1129902","display_name":"Linear differential equation","level":3,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/130924731","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130924731","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"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":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1304.2062","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1304.2062","pdf_url":"https://arxiv.org/pdf/1304.2062","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-01097156v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01097156","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":"SIAM Journal on Imaging Sciences, 2014, 7 (2), pp.669-695. ⟨10.1137/130924731⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1304.2062","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1304.2062","pdf_url":"https://arxiv.org/pdf/1304.2062","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W66629012","https://openalex.org/W1498948733","https://openalex.org/W1511954483","https://openalex.org/W1513221931","https://openalex.org/W1532803486","https://openalex.org/W1555377724","https://openalex.org/W1558012644","https://openalex.org/W1558492509","https://openalex.org/W1601409558","https://openalex.org/W1963910623","https://openalex.org/W1967468633","https://openalex.org/W1968706168","https://openalex.org/W1975978921","https://openalex.org/W1979887808","https://openalex.org/W1981025738","https://openalex.org/W1992336406","https://openalex.org/W1998789994","https://openalex.org/W2001279336","https://openalex.org/W2010825743","https://openalex.org/W2021268474","https://openalex.org/W2026497395","https://openalex.org/W2032220545","https://openalex.org/W2043270257","https://openalex.org/W2054683805","https://openalex.org/W2065642721","https://openalex.org/W2071845085","https://openalex.org/W2081720765","https://openalex.org/W2089885616","https://openalex.org/W2091183404","https://openalex.org/W2102245929","https://openalex.org/W2103212315","https://openalex.org/W2105881518","https://openalex.org/W2105902929","https://openalex.org/W2110890313","https://openalex.org/W2116952425","https://openalex.org/W2118571264","https://openalex.org/W2121022009","https://openalex.org/W2121881348","https://openalex.org/W2127787309","https://openalex.org/W2128633210","https://openalex.org/W2138584058","https://openalex.org/W2151676774","https://openalex.org/W2156359122","https://openalex.org/W2159071715","https://openalex.org/W2168204375","https://openalex.org/W2917209818"],"related_works":["https://openalex.org/W2380775572","https://openalex.org/W4285069850","https://openalex.org/W1974634278","https://openalex.org/W4240963716","https://openalex.org/W2213520135","https://openalex.org/W2891970004","https://openalex.org/W2091872644","https://openalex.org/W2099607128","https://openalex.org/W2810162723","https://openalex.org/W2950543540"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}