{"id":"https://openalex.org/W2126132686","doi":"https://doi.org/10.1007/s00211-009-0222-x","title":"Simultaneously inpainting in image and transformed domains","display_name":"Simultaneously inpainting in image and transformed domains","publication_year":2009,"publication_date":"2009-03-18","ids":{"openalex":"https://openalex.org/W2126132686","doi":"https://doi.org/10.1007/s00211-009-0222-x","mag":"2126132686"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-009-0222-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-009-0222-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","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/A5057913701","display_name":"Jian\u2010Feng Cai","orcid":"https://orcid.org/0000-0003-2571-570X"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Jian-Feng Cai","raw_affiliation_strings":["Temasek Laboratories, Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore","National University of Singapore, Temasek Laboratories, Department of Mathematics, 2 Science Drive 2, 117543, Singapore, Singapore#TAB#"],"affiliations":[{"raw_affiliation_string":"Temasek Laboratories, Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"National University of Singapore, Temasek Laboratories, Department of Mathematics, 2 Science Drive 2, 117543, Singapore, Singapore#TAB#","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104012042","display_name":"Raymond H. Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Raymond H. Chan","raw_affiliation_strings":["Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, People\u2019s Republic of China","The Chinese University of Hong Kong, Department of Mathematics, Shatin, N.T., Hong Kong, People\u2019s Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, People\u2019s Republic of China","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"The Chinese University of Hong Kong, Department of Mathematics, Shatin, N.T., Hong Kong, People\u2019s Republic of China#TAB#","institution_ids":["https://openalex.org/I177725633"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024769249","display_name":"Lixin Shen","orcid":"https://orcid.org/0000-0002-4369-321X"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lixin Shen","raw_affiliation_strings":["Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","Syracuse University, Department of Mathematics, 13244, Syracuse, NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Syracuse University, Syracuse, NY, 13244, USA","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Syracuse University, Department of Mathematics, 13244, Syracuse, NY, USA#TAB#","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068391881","display_name":"Zuowei Shen","orcid":"https://orcid.org/0000-0002-1861-1884"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Zuowei Shen","raw_affiliation_strings":["Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore","National University of Singapore, Department of Mathematics, 2 Science Drive 2, 117543, Singapore, Singapore#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore, 117543, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"National University of Singapore, Department of Mathematics, 2 Science Drive 2, 117543, Singapore, Singapore#TAB#","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057913701"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":6.5615,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.97032947,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"112","issue":"4","first_page":"509","last_page":"533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","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/T11105","display_name":"Advanced Image Processing Techniques","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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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":0.9991000294685364,"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":0.8593442440032959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7266131639480591},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.701106071472168},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6449856162071228},{"id":"https://openalex.org/keywords/discrete-cosine-transform","display_name":"Discrete cosine transform","score":0.5444149374961853},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5299825668334961},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.45218273997306824},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.4345325231552124},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.4341510832309723},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4144403040409088},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2430747151374817},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24108925461769104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19448328018188477}],"concepts":[{"id":"https://openalex.org/C11727466","wikidata":"https://www.wikidata.org/wiki/Q1628157","display_name":"Inpainting","level":3,"score":0.8593442440032959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7266131639480591},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.701106071472168},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6449856162071228},{"id":"https://openalex.org/C2221639","wikidata":"https://www.wikidata.org/wiki/Q2877","display_name":"Discrete cosine transform","level":3,"score":0.5444149374961853},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5299825668334961},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45218273997306824},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.4345325231552124},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4341510832309723},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4144403040409088},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2430747151374817},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24108925461769104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19448328018188477},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00211-009-0222-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-009-0222-x","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerische Mathematik","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/115932","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/115932","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.150.616","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.616","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cuhk.edu.hk/~rchan/paper/ccss_both.pdf","raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-72301","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-72301","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"},{"id":"pmh:oai:repository.ust.hk:1783.1-72301","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-67349170815&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1514248469","https://openalex.org/W1553702074","https://openalex.org/W1966083533","https://openalex.org/W1973700755","https://openalex.org/W1983772857","https://openalex.org/W1984553293","https://openalex.org/W1986757336","https://openalex.org/W1992609597","https://openalex.org/W1999788007","https://openalex.org/W1999905919","https://openalex.org/W2005082281","https://openalex.org/W2006262045","https://openalex.org/W2006707084","https://openalex.org/W2016999436","https://openalex.org/W2025263014","https://openalex.org/W2025803339","https://openalex.org/W2027191314","https://openalex.org/W2031832209","https://openalex.org/W2035541560","https://openalex.org/W2046222560","https://openalex.org/W2062024414","https://openalex.org/W2069912449","https://openalex.org/W2074394175","https://openalex.org/W2081160575","https://openalex.org/W2086600055","https://openalex.org/W2089967755","https://openalex.org/W2093212899","https://openalex.org/W2107844156","https://openalex.org/W2111656426","https://openalex.org/W2115548755","https://openalex.org/W2115755118","https://openalex.org/W2117790722","https://openalex.org/W2117853853","https://openalex.org/W2118671623","https://openalex.org/W2125555749","https://openalex.org/W2145003640","https://openalex.org/W2145096794","https://openalex.org/W2147850450","https://openalex.org/W2153703004","https://openalex.org/W2158940042","https://openalex.org/W2295936755","https://openalex.org/W2623831436","https://openalex.org/W4242371708","https://openalex.org/W4253214256","https://openalex.org/W4255272544"],"related_works":["https://openalex.org/W2380775572","https://openalex.org/W2213520135","https://openalex.org/W1504109132","https://openalex.org/W3134074939","https://openalex.org/W2117562399","https://openalex.org/W2244018504","https://openalex.org/W4298074124","https://openalex.org/W2003548600","https://openalex.org/W1523707610","https://openalex.org/W3214306048"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}