{"id":"https://openalex.org/W4412828257","doi":"https://doi.org/10.1142/s1793962325500539","title":"On the estimation of optical flow: A novel robust estimation based in fractional derivatives with kernel exponential","display_name":"On the estimation of optical flow: A novel robust estimation based in fractional derivatives with kernel exponential","publication_year":2025,"publication_date":"2025-07-18","ids":{"openalex":"https://openalex.org/W4412828257","doi":"https://doi.org/10.1142/s1793962325500539"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962325500539","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962325500539","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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/A5002439067","display_name":"J. E. Lav\u00edn-Delgado","orcid":"https://orcid.org/0000-0003-3632-3373"},"institutions":[{"id":"https://openalex.org/I3130105584","display_name":"Universidad Aut\u00f3noma de Guerrero","ror":"https://ror.org/054tbkd46","country_code":"MX","type":"education","lineage":["https://openalex.org/I3130105584"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. E. Lav\u00edn-Delgado","raw_affiliation_strings":["Direcci\u00f3n de Ingenier\u00eda en Tecnolog\u00edas de la Informaci\u00f3n e Innovaci\u00f3n Digital, Universidad Polit\u00e9cnica del Estado de Guerrero (UPEGro), Carretera Federal Iguala\u2013Taxco Km 105, Puente Campuzano, 40321 Taxco de Alarc\u00f3n, Guerrero, Mexico"],"raw_orcid":"https://orcid.org/0000-0003-3632-3373","affiliations":[{"raw_affiliation_string":"Direcci\u00f3n de Ingenier\u00eda en Tecnolog\u00edas de la Informaci\u00f3n e Innovaci\u00f3n Digital, Universidad Polit\u00e9cnica del Estado de Guerrero (UPEGro), Carretera Federal Iguala\u2013Taxco Km 105, Puente Campuzano, 40321 Taxco de Alarc\u00f3n, Guerrero, Mexico","institution_ids":["https://openalex.org/I3130105584"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016818633","display_name":"J. F. G\u00f3mez\u2010Aguilar","orcid":"https://orcid.org/0000-0001-9403-3767"},"institutions":[{"id":"https://openalex.org/I884181516","display_name":"Universidad Aut\u00f3noma del Estado de Morelos","ror":"https://ror.org/03rzb4f20","country_code":"MX","type":"education","lineage":["https://openalex.org/I884181516"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"J. F. G\u00f3mez-Aguilar","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Ingenier\u00eda y Ciencias Aplicadas (CIICAp-IICBA), Universidad Aut\u00f3noma del Estado de Morelos (UAEM), 62210 Cuernavaca, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-9403-3767","affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Ingenier\u00eda y Ciencias Aplicadas (CIICAp-IICBA), Universidad Aut\u00f3noma del Estado de Morelos (UAEM), 62210 Cuernavaca, Mexico","institution_ids":["https://openalex.org/I884181516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026161720","display_name":"Eduardo P\u00e9rez\u2010Careta","orcid":null},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"E. P\u00e9rez-Careta","raw_affiliation_strings":["Departamento de Electr\u00f3nica, Universidad de Guanajuato, Carretera Salamanca \u2013 Valle de Santiago km 3  1.8, 36885 Salamanca, Guanajuato, Mexico"],"raw_orcid":"https://orcid.org/0009-0004-8774-6012","affiliations":[{"raw_affiliation_string":"Departamento de Electr\u00f3nica, Universidad de Guanajuato, Carretera Salamanca \u2013 Valle de Santiago km 3  1.8, 36885 Salamanca, Guanajuato, Mexico","institution_ids":["https://openalex.org/I129858807"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076359231","display_name":"V. H. Olivares-Peregrino","orcid":"https://orcid.org/0000-0002-5214-4984"},"institutions":[{"id":"https://openalex.org/I4210138655","display_name":"Centro Nacional de Investigaci\u00f3n y Desarrollo Tecnol\u00f3gico","ror":"https://ror.org/0314ecq26","country_code":"MX","type":"facility","lineage":["https://openalex.org/I4210138655"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"V. H. Olivares-Peregrino","raw_affiliation_strings":["Tecnol\u00f3gico Nacional de M\u00e9xico/CENIDET, Interior Internado Palmira S/N, Col. Palmira, 62490 Cuernavaca, Morelos, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-5214-4984","affiliations":[{"raw_affiliation_string":"Tecnol\u00f3gico Nacional de M\u00e9xico/CENIDET, Interior Internado Palmira S/N, Col. Palmira, 62490 Cuernavaca, Morelos, Mexico","institution_ids":["https://openalex.org/I4210138655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011296924","display_name":"J. T\u00f3rres-Jim\u00e9nez","orcid":"https://orcid.org/0000-0002-8006-6397"},"institutions":[{"id":"https://openalex.org/I3130395211","display_name":"Instituto Tecnol\u00f3gico Superior de Xalapa","ror":"https://ror.org/009rr6x76","country_code":"MX","type":"education","lineage":["https://openalex.org/I3130395211"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. Torres-Jim\u00e9nez","raw_affiliation_strings":["Divisi\u00f3n de Ingenier\u00eda El\u00e9ctrica, Tecnol\u00f3gico Nacional de M\u00e9xico/Instituto, Tecnol\u00f3gico Superior de Huauchinango, Av. Tecnol\u00f3gico No. 80, Col. 5 de octubre, 73173 Huauchinango, Puebla, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-8006-6397","affiliations":[{"raw_affiliation_string":"Divisi\u00f3n de Ingenier\u00eda El\u00e9ctrica, Tecnol\u00f3gico Nacional de M\u00e9xico/Instituto, Tecnol\u00f3gico Superior de Huauchinango, Av. Tecnol\u00f3gico No. 80, Col. 5 de octubre, 73173 Huauchinango, Puebla, Mexico","institution_ids":["https://openalex.org/I3130395211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5016818633"],"corresponding_institution_ids":["https://openalex.org/I884181516"],"apc_list":null,"apc_paid":null,"fwci":0.7655,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.72832526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"16","issue":"04","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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":0.9983000159263611,"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/T13114","display_name":"Image Processing Techniques and Applications","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6518261432647705},{"id":"https://openalex.org/keywords/estimation","display_name":"Estimation","score":0.6185257434844971},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5836043357849121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5713329315185547},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5670539140701294},{"id":"https://openalex.org/keywords/kernel-density-estimation","display_name":"Kernel density estimation","score":0.5017948150634766},{"id":"https://openalex.org/keywords/optical-flow","display_name":"Optical flow","score":0.47821733355522156},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.46847644448280334},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35077965259552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33723145723342896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27788329124450684},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24091583490371704},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19342193007469177},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.168024480342865},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.12957999110221863},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11441901326179504},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08381989598274231}],"concepts":[{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6518261432647705},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.6185257434844971},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5836043357849121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5713329315185547},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5670539140701294},{"id":"https://openalex.org/C71134354","wikidata":"https://www.wikidata.org/wiki/Q458825","display_name":"Kernel density estimation","level":3,"score":0.5017948150634766},{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.47821733355522156},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.46847644448280334},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35077965259552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33723145723342896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27788329124450684},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24091583490371704},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19342193007469177},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.168024480342865},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.12957999110221863},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11441901326179504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08381989598274231},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962325500539","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962325500539","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","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":42,"referenced_works":["https://openalex.org/W66708504","https://openalex.org/W1513100184","https://openalex.org/W1578285471","https://openalex.org/W1867429401","https://openalex.org/W1901439805","https://openalex.org/W1960678168","https://openalex.org/W1999260194","https://openalex.org/W2014625578","https://openalex.org/W2033104631","https://openalex.org/W2033959528","https://openalex.org/W2081171933","https://openalex.org/W2096621047","https://openalex.org/W2100315781","https://openalex.org/W2111533989","https://openalex.org/W2131747574","https://openalex.org/W2133255058","https://openalex.org/W2143485281","https://openalex.org/W2145973785","https://openalex.org/W2147253850","https://openalex.org/W2153101587","https://openalex.org/W2155302366","https://openalex.org/W2158919891","https://openalex.org/W2213164203","https://openalex.org/W2278648135","https://openalex.org/W2326399158","https://openalex.org/W2472768686","https://openalex.org/W2472920611","https://openalex.org/W2487948163","https://openalex.org/W2773396578","https://openalex.org/W2802482620","https://openalex.org/W2884885555","https://openalex.org/W2963010124","https://openalex.org/W2963049075","https://openalex.org/W3003662786","https://openalex.org/W3164252737","https://openalex.org/W3165336242","https://openalex.org/W4224273979","https://openalex.org/W4226181943","https://openalex.org/W4390079822","https://openalex.org/W4393093854","https://openalex.org/W4393248103","https://openalex.org/W4405200548"],"related_works":["https://openalex.org/W2023355163","https://openalex.org/W4386083130","https://openalex.org/W3111737715","https://openalex.org/W2069571255","https://openalex.org/W2117442182","https://openalex.org/W2081707527","https://openalex.org/W1975907365","https://openalex.org/W3125517176","https://openalex.org/W4367623556","https://openalex.org/W2576994247"],"abstract_inverted_index":{"A":[0,78],"fractional":[1],"operator":[2,17,33,129],"for":[3,45,63,150],"optical":[4,64],"flow":[5,65,96],"estimation":[6,66],"is":[7,18,43,82,143],"presented":[8],"in":[9,67],"this":[10,16,30],"research":[11],"paper.":[12],"The":[13,39,140],"formulation":[14],"of":[15],"carried":[19],"out":[20],"by":[21,73],"the":[22,26,35,106,119,147,152],"Caputo\u2013Fabrizio":[23,40],"derivative":[24,42],"and":[25,51,56,97,111,114,122,136],"Horn\u2013Schunck":[27,37,109],"method.":[28],"In":[29],"way,":[31],"our":[32,128],"generalizes":[34],"traditional":[36],"technique.":[38],"fractional-order":[41,79,91,115],"introduced":[44],"its":[46],"high":[47],"capability":[48],"to":[49,85,145],"enhance":[50],"preserve":[52],"both":[53],"texture":[54],"detail":[55],"image":[57,154],"edges,":[58],"making":[59],"it":[60],"more":[61],"suitable":[62],"images":[68],"with":[69,87,105],"weak":[70],"edges":[71],"caused":[72],"low":[74],"contrast":[75],"or":[76],"noise.":[77],"multiscale":[80,108],"strategy":[81],"also":[83],"considered":[84],"deal":[86],"large":[88],"displacements.":[89],"This":[90],"approach":[92],"produces":[93],"a":[94],"dense":[95],"greatly":[98],"increases":[99],"robustness":[100],"at":[101],"outliers.":[102],"Experimental":[103],"comparisons":[104],"conventional":[107],"algorithm":[110,142],"some":[112],"integer-":[113],"methods":[116],"existing":[117],"on":[118],"MPI":[120],"Sintel":[121],"Middlebury":[123],"Stereo":[124],"datasets":[125],"demonstrate":[126],"that":[127],"provides":[130],"significantly":[131],"lower":[132],"average":[133,137],"endpoint":[134],"error":[135],"angular":[138],"error.":[139],"firefly":[141],"used":[144],"get":[146],"optimal":[148],"order":[149],"all":[151],"stereoscopic":[153],"sequences.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
