{"id":"https://openalex.org/W2151442459","doi":"https://doi.org/10.1142/s0219467809003368","title":"A NONLINEAR FILTERING BASED OPTICAL FLOW COMPUTATION","display_name":"A NONLINEAR FILTERING BASED OPTICAL FLOW COMPUTATION","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2151442459","doi":"https://doi.org/10.1142/s0219467809003368","mag":"2151442459"},"language":"en","primary_location":{"id":"doi:10.1142/s0219467809003368","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219467809003368","pdf_url":null,"source":{"id":"https://openalex.org/S60080701","display_name":"International Journal of Image and Graphics","issn_l":"0219-4678","issn":["0219-4678","1793-6756"],"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 Image and Graphics","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/A5020361550","display_name":"Zongqing Lu","orcid":"https://orcid.org/0000-0002-1191-9069"},"institutions":[{"id":"https://openalex.org/I3131625388","display_name":"University Town of Shenzhen","ror":"https://ror.org/05f5j6225","country_code":"CN","type":"education","lineage":["https://openalex.org/I3131625388"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"LU ZONGQING","raw_affiliation_strings":["The Graduate School at Shenzhen, Tsinghua University F-102, Tsinghua Campus, The University Town, Shenzhen, China, 518055, China"],"affiliations":[{"raw_affiliation_string":"The Graduate School at Shenzhen, Tsinghua University F-102, Tsinghua Campus, The University Town, Shenzhen, China, 518055, China","institution_ids":["https://openalex.org/I3131625388","https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009239895","display_name":"Qingmin Liao","orcid":"https://orcid.org/0000-0002-7509-3964"},"institutions":[{"id":"https://openalex.org/I3131625388","display_name":"University Town of Shenzhen","ror":"https://ror.org/05f5j6225","country_code":"CN","type":"education","lineage":["https://openalex.org/I3131625388"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"LIAO QINGMIN","raw_affiliation_strings":["The Graduate School at Shenzhen, Tsinghua University F-102, Tsinghua Campus, The University Town, Shenzhen, China, 518055, China"],"affiliations":[{"raw_affiliation_string":"The Graduate School at Shenzhen, Tsinghua University F-102, Tsinghua Campus, The University Town, Shenzhen, China, 518055, China","institution_ids":["https://openalex.org/I3131625388","https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":null,"display_name":"PEI JIHONG","orcid":null},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"PEI JIHONG","raw_affiliation_strings":["Key Lab of Intelligent Information Processing, Shenzhen University, Shenzhen, China, 518060, China"],"affiliations":[{"raw_affiliation_string":"Key Lab of Intelligent Information Processing, Shenzhen University, Shenzhen, China, 518060, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020361550"],"corresponding_institution_ids":["https://openalex.org/I3131625388","https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19037145,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"09","issue":"01","first_page":"121","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":1.0,"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":1.0,"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":0.9970999956130981,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9861999750137329,"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/optical-flow","display_name":"Optical flow","score":0.6884029507637024},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.6677627563476562},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5756187438964844},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5734111070632935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.536749005317688},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5031740069389343},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.4962084889411926},{"id":"https://openalex.org/keywords/nonlinear-filter","display_name":"Nonlinear filter","score":0.48480167984962463},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4656465947628021},{"id":"https://openalex.org/keywords/edge-preserving-smoothing","display_name":"Edge-preserving smoothing","score":0.46339064836502075},{"id":"https://openalex.org/keywords/scalar-field","display_name":"Scalar field","score":0.4437875747680664},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.43702253699302673},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.4196302890777588},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4101223647594452},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.401610791683197},{"id":"https://openalex.org/keywords/bilateral-filter","display_name":"Bilateral filter","score":0.35031482577323914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32042598724365234},{"id":"https://openalex.org/keywords/filter-design","display_name":"Filter design","score":0.20761090517044067},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1967518925666809},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.16789692640304565},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.101401686668396},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.09267085790634155},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09259006381034851}],"concepts":[{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.6884029507637024},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6677627563476562},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5756187438964844},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5734111070632935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.536749005317688},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5031740069389343},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4962084889411926},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.48480167984962463},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4656465947628021},{"id":"https://openalex.org/C141651230","wikidata":"https://www.wikidata.org/wiki/Q5337637","display_name":"Edge-preserving smoothing","level":4,"score":0.46339064836502075},{"id":"https://openalex.org/C110521144","wikidata":"https://www.wikidata.org/wiki/Q193460","display_name":"Scalar field","level":2,"score":0.4437875747680664},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.43702253699302673},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.4196302890777588},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4101223647594452},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.401610791683197},{"id":"https://openalex.org/C156140930","wikidata":"https://www.wikidata.org/wiki/Q860417","display_name":"Bilateral filter","level":3,"score":0.35031482577323914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32042598724365234},{"id":"https://openalex.org/C22597639","wikidata":"https://www.wikidata.org/wiki/Q5449227","display_name":"Filter design","level":3,"score":0.20761090517044067},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1967518925666809},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.16789692640304565},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.101401686668396},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.09267085790634155},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09259006381034851},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0219467809003368","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219467809003368","pdf_url":null,"source":{"id":"https://openalex.org/S60080701","display_name":"International Journal of Image and Graphics","issn_l":"0219-4678","issn":["0219-4678","1793-6756"],"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 Image and Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1572544957","https://openalex.org/W1578285471","https://openalex.org/W1867429401","https://openalex.org/W2017451354","https://openalex.org/W2054654931","https://openalex.org/W2110278857","https://openalex.org/W2114430732","https://openalex.org/W2154504070","https://openalex.org/W2159739271","https://openalex.org/W2166412610","https://openalex.org/W2167717741","https://openalex.org/W2168766022","https://openalex.org/W3003662786","https://openalex.org/W4240153047"],"related_works":["https://openalex.org/W4317791997","https://openalex.org/W2189489016","https://openalex.org/W2053745843","https://openalex.org/W2018299549","https://openalex.org/W2100925004","https://openalex.org/W2052217765","https://openalex.org/W2163359857","https://openalex.org/W1976863416","https://openalex.org/W2355942042","https://openalex.org/W1967024344"],"abstract_inverted_index":{"A":[0],"novel":[1],"optical":[2,19,37,114],"flow":[3,20,38,97,115],"estimation":[4,17],"is":[5,32],"proposed":[6],"in":[7,101],"this":[8,70],"paper,":[9],"which":[10,91],"addresses":[11],"some":[12,62,74,102],"issues":[13],"including":[14],"the":[15,22,36,50,54,78,118,128],"credible":[16],"of":[18,24,45,64],"and":[21,66,106,123],"prevention":[23],"over-smoothing":[25],"across":[26],"motion":[27],"boundaries.":[28],"Our":[29],"main":[30],"contribution":[31],"that":[33,127],"we":[34,81],"estimated":[35],"by":[39,77],"a":[40,84,108,133],"nonlinear":[41,85,120],"filtering":[42],"process":[43],"instead":[44],"an":[46],"energy":[47],"minimizing":[48],"process,":[49],"latter":[51],"often":[52],"needs":[53],"corresponding":[55],"smoothing":[56],"constraint":[57],"to":[58,61,94,113],"be":[59],"restricted":[60],"form":[63],"convex":[65],"differentiable":[67],"entity.":[68],"In":[69],"way,":[71],"it":[72],"avoids":[73],"restrictions":[75],"needed":[76],"regularization.":[79],"So":[80],"can":[82,92,131],"choose":[83],"filter":[86,112],"from":[87],"more":[88,99],"flexible":[89],"forms,":[90],"help":[93],"deal":[95],"with":[96],"discontinuities":[98],"efficiently":[100],"sense.":[103],"We":[104],"modified":[105],"extended":[107],"scalar":[109],"2D":[110],"bilateral":[111],"field":[116],"as":[117],"wanted":[119],"filter.":[121],"Qualitative":[122],"quantitative":[124],"results":[125],"show":[126],"new":[129],"method":[130],"produce":[132],"reliable":[134],"result.":[135]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}