{"id":"https://openalex.org/W3111797548","doi":"https://doi.org/10.1137/19m1261845","title":"CURE: Curvature Regularization for Missing Data Recovery","display_name":"CURE: Curvature Regularization for Missing Data Recovery","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3111797548","doi":"https://doi.org/10.1137/19m1261845","mag":"3111797548"},"language":"en","primary_location":{"id":"doi:10.1137/19m1261845","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1261845","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":["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/A5035683291","display_name":"Bin Dong","orcid":"https://orcid.org/0000-0003-1295-3362"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bin Dong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113149225","display_name":"Haocheng Ju","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Haocheng Ju","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101947005","display_name":"Yiping Lu","orcid":"https://orcid.org/0000-0001-9459-699X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yiping Lu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077724126","display_name":"Zuoqiang Shi","orcid":"https://orcid.org/0000-0002-9122-0302"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zuoqiang Shi","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-9122-0302","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3833,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.62569747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"13","issue":"4","first_page":"2169","last_page":"2188"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9997000098228455,"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":0.9997000098228455,"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":0.998199999332428,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/inpainting","display_name":"Inpainting","score":0.9321503639221191},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7618140578269958},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.655224621295929},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5325281620025635},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.517435610294342},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.45751968026161194},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4520164132118225},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.44172051548957825},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4405773878097534},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.41931238770484924},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.40197619795799255},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3800075650215149},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33649754524230957},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22559401392936707},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08610692620277405}],"concepts":[{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.9321503639221191},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7618140578269958},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.655224621295929},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5325281620025635},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.517435610294342},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.45751968026161194},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4520164132118225},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.44172051548957825},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4405773878097534},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.41931238770484924},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.40197619795799255},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3800075650215149},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33649754524230957},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22559401392936707},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08610692620277405},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1261845","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1261845","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1794476896","display_name":null,"funder_award_id":"11671022","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6033600436","display_name":null,"funder_award_id":"11671005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6173936348","display_name":null,"funder_award_id":"Z180001","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320324787","display_name":"Peking University","ror":"https://ror.org/02v51f717"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1861295442","https://openalex.org/W1967277558","https://openalex.org/W1973700755","https://openalex.org/W2000594266","https://openalex.org/W2007680066","https://openalex.org/W2019248995","https://openalex.org/W2024221621","https://openalex.org/W2025263014","https://openalex.org/W2037981501","https://openalex.org/W2044810215","https://openalex.org/W2060945009","https://openalex.org/W2081160575","https://openalex.org/W2084433208","https://openalex.org/W2086670019","https://openalex.org/W2097061348","https://openalex.org/W2098713549","https://openalex.org/W2103559027","https://openalex.org/W2117881455","https://openalex.org/W2132294263","https://openalex.org/W2132680427","https://openalex.org/W2136396015","https://openalex.org/W2141115311","https://openalex.org/W2149396346","https://openalex.org/W2183352262","https://openalex.org/W2522027654","https://openalex.org/W2591538366","https://openalex.org/W2604163838","https://openalex.org/W2774889464","https://openalex.org/W2962701197","https://openalex.org/W2962768516","https://openalex.org/W2963111412","https://openalex.org/W2963347434","https://openalex.org/W2963513939","https://openalex.org/W3098742616","https://openalex.org/W3099189501","https://openalex.org/W3100917591","https://openalex.org/W4213367101","https://openalex.org/W4236965008","https://openalex.org/W4237080436","https://openalex.org/W4300101671"],"related_works":["https://openalex.org/W2380775572","https://openalex.org/W2213520135","https://openalex.org/W4242046654","https://openalex.org/W1504109132","https://openalex.org/W3134074939","https://openalex.org/W2117562399","https://openalex.org/W3174923100","https://openalex.org/W2244018504","https://openalex.org/W4298074124","https://openalex.org/W2799167307"],"abstract_inverted_index":{"Missing":[0],"data":[1,13],"recovery":[2],"is":[3,114,159],"an":[4],"important":[5],"and":[6,12,37,57,118,193,216,224,229],"yet":[7],"challenging":[8],"problem":[9],"in":[10,62,178],"imaging":[11],"science.":[14],"Successful":[15],"models":[16],"often":[17],"adopt":[18],"certain":[19],"carefully":[20],"chosen":[21],"regularization.":[22],"Recently,":[23],"the":[24,91,109,133,183,221],"low":[25,88,110,134],"dimensional":[26,111,135],"manifold":[27,94,112,136],"model":[28],"(LDMM)":[29],"was":[30],"introduced":[31],"by":[32,131],"[S.":[33],"Osher,":[34,192],"Z.":[35],"Shi,":[36,190],"W.":[38,194],"Zhu,":[39,195],"Low":[40],"Dimensional":[41,69],"Manifold":[42,70],"Model":[43,71],"for":[44,72,152,213],"Image":[45,73],"Processing,":[46,74],"Technical":[47,75],"report,":[48,76],"cam":[49,77],"report":[50,78],"16-04,":[51,79],"UCLA,":[52,80],"Los":[53,81],"Angeles,":[54,82],"CA,":[55,83],"2016]":[56,84],"shown":[58],"to":[59,160],"be":[60],"effective":[61],"image":[63,92,99,214],"inpainting.":[64],"The":[65,154],"authors":[66],"of":[67,157,174],"[Low":[68],"observed":[85],"that":[86,106,220],"enforcing":[87],"dimensionality":[89],"on":[90,165,199],"patch":[93],"serves":[95],"as":[96,122,182],"a":[97,128,139,162,166,171,179],"good":[98],"regularizer.":[100],"In":[101],"this":[102],"paper,":[103],"we":[104,119,126,147],"observe":[105],"having":[107],"only":[108],"regularization":[113,130,137,150],"not":[115],"enough":[116],"sometimes,":[117],"need":[120],"smoothness":[121],"well.":[123],"For":[124],"that,":[125],"introduce":[127,170],"new":[129,149],"combining":[132],"with":[138],"higher":[140],"order":[141],"\\bf":[142,144],"CUrvature":[143],"REgularization,":[145],"which":[146],"call":[148],"CURE":[151,158,223],"short.":[153],"key":[155],"step":[156],"solve":[161],"biharmonic":[163],"equation":[164],"manifold.":[167],"We":[168],"further":[169],"weighted":[172,184],"version":[173],"CURE,":[175],"called":[176],"WeCURE,":[177],"similar":[180],"manner":[181],"nonlocal":[185,197],"Laplacian":[186,198],"(WNLL)":[187],"method":[188],"[Z.":[189],"S.":[191],"Weighted":[196],"interpolation":[200],"from":[201],"sparse":[202],"data,":[203],"J.":[204],"Sci.":[205],"Comput.,":[206],"73":[207],"(2017),":[208],"pp.":[209],"1164--1177].":[210],"Numerical":[211],"experiments":[212],"inpainting":[215],"semisupervised":[217],"learning":[218],"show":[219],"proposed":[222],"WeCURE":[225],"significantly":[226],"outperform":[227],"LDMM":[228],"WNLL,":[230],"respectively.":[231]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
