{"id":"https://openalex.org/W1979812822","doi":"https://doi.org/10.1007/s11075-014-9826-z","title":"An ADMM algorithm for second-order TV-based MR image reconstruction","display_name":"An ADMM algorithm for second-order TV-based MR image reconstruction","publication_year":2014,"publication_date":"2014-01-25","ids":{"openalex":"https://openalex.org/W1979812822","doi":"https://doi.org/10.1007/s11075-014-9826-z","mag":"1979812822"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-014-9826-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9826-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5101619022","display_name":"Weisi Xie","orcid":"https://orcid.org/0009-0004-5589-0271"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-Si Xie","raw_affiliation_strings":["College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China","College of Mathematics and Econometrics, Hunan University, Hunan, China 410082#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Hunan, China 410082#TAB#","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111761716","display_name":"Yu-Fei Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]},{"id":"https://openalex.org/I198357462","display_name":"Changsha University","ror":"https://ror.org/011d8sm39","country_code":"CN","type":"education","lineage":["https://openalex.org/I198357462"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu-Fei Yang","raw_affiliation_strings":["College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China","Department of Information and Computing Science, Changsha University, Changsha, 410003, Hunan, China","College of Mathematics and Econometrics, Hunan University, Hunan, China 410082 and Department of Information and Computing Science, Changsha University, Hunan, China 410003#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Department of Information and Computing Science, Changsha University, Changsha, 410003, Hunan, China","institution_ids":["https://openalex.org/I198357462"]},{"raw_affiliation_string":"College of Mathematics and Econometrics, Hunan University, Hunan, China 410082 and Department of Information and Computing Science, Changsha University, Hunan, China 410003#TAB#","institution_ids":["https://openalex.org/I198357462"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002324535","display_name":"Bo Zhou","orcid":"https://orcid.org/0000-0002-5009-9796"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhou","raw_affiliation_strings":["College of Information Science and Engineering, Hunan University, Changsha, 410082, Hunan, China","College of Information Science and Engineering, Hunan University, Hunan, China 410082#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Hunan University, Changsha, 410082, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"College of Information Science and Engineering, Hunan University, Hunan, China 410082#TAB#","institution_ids":["https://openalex.org/I16609230"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111761716"],"corresponding_institution_ids":["https://openalex.org/I16609230","https://openalex.org/I198357462"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.8506,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.70972644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"67","issue":"4","first_page":"827","last_page":"843"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9991999864578247,"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/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.7427381873130798},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.680384635925293},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6648663282394409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6643044948577881},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6283835768699646},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6154470443725586},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5736261606216431},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.47168901562690735},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.44155237078666687},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42817947268486023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30582326650619507},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17607948184013367}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.7427381873130798},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.680384635925293},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6648663282394409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6643044948577881},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6283835768699646},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6154470443725586},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5736261606216431},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.47168901562690735},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.44155237078666687},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42817947268486023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30582326650619507},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17607948184013367}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-014-9826-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-014-9826-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1549918636","https://openalex.org/W1979797351","https://openalex.org/W1981624870","https://openalex.org/W1986737463","https://openalex.org/W1997763492","https://openalex.org/W2000594266","https://openalex.org/W2005089986","https://openalex.org/W2020461703","https://openalex.org/W2022429293","https://openalex.org/W2026517977","https://openalex.org/W2027895669","https://openalex.org/W2086670019","https://openalex.org/W2091494211","https://openalex.org/W2100556411","https://openalex.org/W2101675075","https://openalex.org/W2103559027","https://openalex.org/W2105693192","https://openalex.org/W2112910956","https://openalex.org/W2113030459","https://openalex.org/W2119159934","https://openalex.org/W2126607811","https://openalex.org/W2135036909","https://openalex.org/W2142058898","https://openalex.org/W2144275666","https://openalex.org/W2145096794","https://openalex.org/W3101710822","https://openalex.org/W3141222251","https://openalex.org/W4249512175","https://openalex.org/W4285719527","https://openalex.org/W6601616801"],"related_works":["https://openalex.org/W2919324478","https://openalex.org/W3183937795","https://openalex.org/W2082991255","https://openalex.org/W2996388602","https://openalex.org/W102932032","https://openalex.org/W2158144798","https://openalex.org/W2029448249","https://openalex.org/W2289975471","https://openalex.org/W1992177423","https://openalex.org/W1981232797"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}
