{"id":"https://openalex.org/W1972925695","doi":"https://doi.org/10.1109/allerton.2011.6120390","title":"Go with the flow: Optical flow-based transport operators for image manifolds","display_name":"Go with the flow: Optical flow-based transport operators for image manifolds","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W1972925695","doi":"https://doi.org/10.1109/allerton.2011.6120390","mag":"1972925695"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2011.6120390","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2011.6120390","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-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/A5034284556","display_name":"Aswin C. Sankaranarayanan","orcid":"https://orcid.org/0000-0003-0906-4046"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Aswin C. Sankaranarayanan","raw_affiliation_strings":["ECE Department, Rice University, USA","ECE Department, Rice University#TAB#"],"affiliations":[{"raw_affiliation_string":"ECE Department, Rice University, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"ECE Department, Rice University#TAB#","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066142047","display_name":"Chinmay Hegde","orcid":"https://orcid.org/0000-0003-4574-8066"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chinmay Hegde","raw_affiliation_strings":["ECE Department, Rice University, USA","ECE Department, Rice University#TAB#"],"affiliations":[{"raw_affiliation_string":"ECE Department, Rice University, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"ECE Department, Rice University#TAB#","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058300098","display_name":"Sriram Nagaraj","orcid":null},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sriram Nagaraj","raw_affiliation_strings":["ECE Department, Rice University, USA","ECE Department, Rice University#TAB#"],"affiliations":[{"raw_affiliation_string":"ECE Department, Rice University, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"ECE Department, Rice University#TAB#","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072713767","display_name":"Richard G. Baraniuk","orcid":"https://orcid.org/0000-0002-0721-8999"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard G. Baraniuk","raw_affiliation_strings":["ECE Department, Rice University, USA","ECE Department, Rice University#TAB#"],"affiliations":[{"raw_affiliation_string":"ECE Department, Rice University, USA","institution_ids":["https://openalex.org/I74775410"]},{"raw_affiliation_string":"ECE Department, Rice University#TAB#","institution_ids":["https://openalex.org/I74775410"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034284556"],"corresponding_institution_ids":["https://openalex.org/I74775410"],"apc_list":null,"apc_paid":null,"fwci":1.0302,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78480693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"290","issue":null,"first_page":"1824","last_page":"1831"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9980000257492065,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/manifold","display_name":"Manifold (fluid mechanics)","score":0.70453941822052},{"id":"https://openalex.org/keywords/optical-flow","display_name":"Optical flow","score":0.6758034229278564},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.5487929582595825},{"id":"https://openalex.org/keywords/geometric-flow","display_name":"Geometric flow","score":0.5261663198471069},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5045551061630249},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.49704697728157043},{"id":"https://openalex.org/keywords/image-plane","display_name":"Image plane","score":0.4856489896774292},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.47488969564437866},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4676515460014343},{"id":"https://openalex.org/keywords/nonlinear-dimensionality-reduction","display_name":"Nonlinear dimensionality reduction","score":0.4641493558883667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4198474884033203},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.41934049129486084},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4071899950504303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3837425708770752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2898908853530884},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19512829184532166},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.1498214602470398}],"concepts":[{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.70453941822052},{"id":"https://openalex.org/C155542232","wikidata":"https://www.wikidata.org/wiki/Q736111","display_name":"Optical flow","level":3,"score":0.6758034229278564},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.5487929582595825},{"id":"https://openalex.org/C32209215","wikidata":"https://www.wikidata.org/wiki/Q5535483","display_name":"Geometric flow","level":3,"score":0.5261663198471069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5045551061630249},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.49704697728157043},{"id":"https://openalex.org/C120515352","wikidata":"https://www.wikidata.org/wiki/Q2564580","display_name":"Image plane","level":3,"score":0.4856489896774292},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.47488969564437866},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4676515460014343},{"id":"https://openalex.org/C151876577","wikidata":"https://www.wikidata.org/wiki/Q7049464","display_name":"Nonlinear dimensionality reduction","level":3,"score":0.4641493558883667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4198474884033203},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.41934049129486084},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4071899950504303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3837425708770752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2898908853530884},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19512829184532166},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.1498214602470398},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/allerton.2011.6120390","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2011.6120390","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W65124300","https://openalex.org/W191001584","https://openalex.org/W1484267881","https://openalex.org/W1494041778","https://openalex.org/W1578285471","https://openalex.org/W1972925695","https://openalex.org/W1994154911","https://openalex.org/W1998563636","https://openalex.org/W2001141328","https://openalex.org/W2026892575","https://openalex.org/W2033959528","https://openalex.org/W2034869517","https://openalex.org/W2053186076","https://openalex.org/W2054511520","https://openalex.org/W2070320140","https://openalex.org/W2109409043","https://openalex.org/W2112148214","https://openalex.org/W2122164584","https://openalex.org/W2124455902","https://openalex.org/W2125772040","https://openalex.org/W2131747574","https://openalex.org/W2134080476","https://openalex.org/W2135265773","https://openalex.org/W2140798815","https://openalex.org/W2147253850","https://openalex.org/W2151103935","https://openalex.org/W2159366128","https://openalex.org/W2159556349","https://openalex.org/W2751023760","https://openalex.org/W4231517064","https://openalex.org/W6676938131","https://openalex.org/W6678020770","https://openalex.org/W6678286918","https://openalex.org/W6680330856"],"related_works":["https://openalex.org/W1903999421","https://openalex.org/W2118957867","https://openalex.org/W2013051270","https://openalex.org/W3049101726","https://openalex.org/W2041785029","https://openalex.org/W2112685067","https://openalex.org/W2129639887","https://openalex.org/W2755430707","https://openalex.org/W2077776048","https://openalex.org/W1602721037"],"abstract_inverted_index":{"Image":[0],"articulation":[1],"manifolds":[2],"(IAMs)":[3],"play":[4],"a":[5,10,27,37,50,67,116,149,154,168],"central":[6],"conceptual":[7],"role":[8],"in":[9],"host":[11],"of":[12,29,32,40,42,95,125,143,156],"computer":[13],"vision":[14],"and":[15,60,179,197],"image":[16,75],"understanding":[17],"problems.":[18],"The":[19,78],"core":[20],"premise":[21],"is":[22,34,148,198],"that":[23,70,89,102,137,163,183],"we":[24,65,135,161],"can":[25],"view":[26],"collection":[28],"images,":[30],"each":[31],"which":[33],"indexed":[35],"by":[36],"small":[38],"number":[39,155],"degrees":[41],"freedom":[43],"(3D":[44],"camera":[45],"pose,":[46],"motion/deformation,":[47],"etc.),":[48],"as":[49],"low-dimensional":[51,169],"nonlinear":[52],"manifold.":[53,171],"In":[54,132,159],"order":[55],"to":[56,76,82,194],"perform":[57],"parameter":[58],"estimation":[59],"navigation":[61],"on":[62,115,145],"an":[63,106,146],"IAM,":[64],"require":[66,101],"transport":[68,84,151],"operator":[69,152],"traverses":[71],"the":[72,92,103,123,138,164,184],"manifold":[73,83,96,180,187],"from":[74,86],"image.":[77],"two":[79],"current":[80,195],"approaches":[81,196],"suffer":[85],"major":[87],"shortcomings":[88],"have":[90],"limited":[91],"practical":[93,199],"impact":[94],"methods.":[97],"First,":[98],"algebraic":[99,108],"methods":[100,113],"IAM":[104,147],"possess":[105],"unrealistic":[107],"structure.":[109],"Second,":[110],"locally":[111],"linear":[112],"based":[114],"tangent":[117],"plane":[118],"approximation":[119],"cannot":[120],"cope":[121],"with":[122,129,153],"non-differentiability":[124],"IAMs":[126],"containing":[127],"images":[128,144],"sharp":[130],"edges.":[131],"this":[133],"paper,":[134],"demonstrate":[136],"optical":[139,165,185],"flow":[140,166,186],"between":[141],"pairs":[142],"valid":[150],"attractive":[157],"properties.":[158],"particular,":[160],"establish":[162],"forms":[167],"smooth":[170],"Several":[172],"experiments":[173],"involving":[174],"novel-view":[175],"synthesis,":[176],"geometric":[177],"clustering,":[178],"charting":[181],"validate":[182],"approach":[188],"both":[189],"offers":[190],"performance":[191],"significantly":[192],"superior":[193],"for":[200],"real-world":[201],"applications.":[202]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}