{"id":"https://openalex.org/W2128912491","doi":"https://doi.org/10.1109/tmi.2009.2038576","title":"Regularized Interpolation for Noisy Images","display_name":"Regularized Interpolation for Noisy Images","publication_year":2010,"publication_date":"2010-02-01","ids":{"openalex":"https://openalex.org/W2128912491","doi":"https://doi.org/10.1109/tmi.2009.2038576","mag":"2128912491","pmid":"https://pubmed.ncbi.nlm.nih.gov/20129854"},"language":"en","primary_location":{"id":"doi:10.1109/tmi.2009.2038576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2009.2038576","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/163614","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108524187","display_name":"S. Ramani","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. Ramani","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109 USA. sramani@umich.edu","Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109 USA. sramani@umich.edu","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113663605","display_name":"P. Th\u00e9venaz","orcid":null},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"P. Thevenaz","raw_affiliation_strings":["Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Biomed. Imaging Group (BIG), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland#TAB#"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Biomed. Imaging Group (BIG), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland#TAB#","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I29607241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027830035","display_name":"Micha\u00ebl Unser","orcid":"https://orcid.org/0000-0003-1248-2513"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["CH","FR"],"is_corresponding":false,"raw_author_name":"M. Unser","raw_affiliation_strings":["Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","Biomed. Imaging Group (BIG), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland#TAB#"],"affiliations":[{"raw_affiliation_string":"Biomedical Imaging Group, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Biomed. Imaging Group (BIG), Ecole Polytech. Fed. de Lausanne (EPFL), Lausanne, Switzerland#TAB#","institution_ids":["https://openalex.org/I5124864","https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108524187"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":1.9987,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.85920814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"29","issue":"2","first_page":"543","last_page":"558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9959999918937683,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9847999811172485,"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/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.805478036403656},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6298980116844177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5280925631523132},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4798252582550049},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.46126821637153625},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4514658451080322},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43476569652557373},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39388352632522583},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.3823261260986328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3294159471988678},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2910696268081665},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08985826373100281}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.805478036403656},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6298980116844177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5280925631523132},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4798252582550049},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.46126821637153625},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4514658451080322},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43476569652557373},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39388352632522583},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.3823261260986328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3294159471988678},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2910696268081665},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08985826373100281},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006257","descriptor_name":"Head","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D006257","descriptor_name":"Head","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D006257","descriptor_name":"Head","qualifier_ui":"Q000033","qualifier_name":"anatomy & histology","is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D007091","descriptor_name":"Image Processing, Computer-Assisted","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D008279","descriptor_name":"Magnetic Resonance Imaging","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D014057","descriptor_name":"Tomography, X-Ray Computed","qualifier_ui":"Q000379","qualifier_name":"methods","is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015203","descriptor_name":"Reproducibility of Results","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D015233","descriptor_name":"Models, Statistical","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016012","descriptor_name":"Poisson Distribution","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":6,"locations":[{"id":"doi:10.1109/tmi.2009.2038576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmi.2009.2038576","pdf_url":null,"source":{"id":"https://openalex.org/S58069681","display_name":"IEEE Transactions on Medical Imaging","issn_l":"0278-0062","issn":["0278-0062","1558-254X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Medical Imaging","raw_type":"journal-article"},{"id":"pmid:20129854","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/20129854","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on medical imaging","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.204.7558","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.204.7558","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://infoscience.epfl.ch/record/163614/files/ramani1001.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.580.1340","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.580.1340","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://bigwww.epfl.ch/preprints/ramani0901p.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:163614","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/163614","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:163614","is_oa":true,"landing_page_url":"http://bigwww.epfl.ch/publications/ramani1001.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:163614","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/163614","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1441312571","display_name":null,"funder_award_id":"00020","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4124273935","display_name":"Dokumentation \u00fcber Ausdehnung, Nutzung, Bewirtschaftung und Melioration organischer B\u00f6den in der Schweiz","funder_award_id":"10941","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4621158401","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4836148144","display_name":null,"funder_award_id":"20002","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5599649393","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6278475803","display_name":"Spline methods for the continuous/discrete processing of images","funder_award_id":"109415","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G628552264","display_name":null,"funder_award_id":"200020","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8521217850","display_name":"Data-driven optimization of algorithm parameters for regularized image reconstruction","funder_award_id":"125446","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8742234846","display_name":"Die temporale Struktur von ostschweizerdeutschen Lauten. Eine instrumentalphonetische Untersuchung.","funder_award_id":"25446","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W19793066","https://openalex.org/W1506069954","https://openalex.org/W1552869711","https://openalex.org/W1575258345","https://openalex.org/W1970021677","https://openalex.org/W1975554247","https://openalex.org/W1985701352","https://openalex.org/W1993274949","https://openalex.org/W2003410902","https://openalex.org/W2021496550","https://openalex.org/W2030507150","https://openalex.org/W2033914841","https://openalex.org/W2035136970","https://openalex.org/W2041902797","https://openalex.org/W2050726069","https://openalex.org/W2050921210","https://openalex.org/W2054640142","https://openalex.org/W2065076743","https://openalex.org/W2065628492","https://openalex.org/W2069629287","https://openalex.org/W2072764600","https://openalex.org/W2079356438","https://openalex.org/W2080744942","https://openalex.org/W2085877024","https://openalex.org/W2094782613","https://openalex.org/W2097084589","https://openalex.org/W2101207642","https://openalex.org/W2103559027","https://openalex.org/W2105910985","https://openalex.org/W2110251143","https://openalex.org/W2110264793","https://openalex.org/W2113359099","https://openalex.org/W2113524221","https://openalex.org/W2113640817","https://openalex.org/W2116938228","https://openalex.org/W2121203842","https://openalex.org/W2122905512","https://openalex.org/W2123224804","https://openalex.org/W2123420959","https://openalex.org/W2129299867","https://openalex.org/W2130859329","https://openalex.org/W2135905738","https://openalex.org/W2143780518","https://openalex.org/W2145568341","https://openalex.org/W2149414429","https://openalex.org/W2156612134","https://openalex.org/W2156930033","https://openalex.org/W2157494358","https://openalex.org/W2158466399","https://openalex.org/W2158842967","https://openalex.org/W2163889321","https://openalex.org/W2167517504","https://openalex.org/W2259472751","https://openalex.org/W2988564852","https://openalex.org/W3000332379","https://openalex.org/W4241060531"],"related_works":["https://openalex.org/W2366023887","https://openalex.org/W2062975788","https://openalex.org/W2388364587","https://openalex.org/W2935233291","https://openalex.org/W2374214022","https://openalex.org/W2385735574","https://openalex.org/W2030398504","https://openalex.org/W2050033254","https://openalex.org/W2075210326","https://openalex.org/W2127000180"],"abstract_inverted_index":{"Interpolation":[0],"is":[1,10,40,116],"the":[2,17,29,61,70,75,90,104,109,117,143,158,182],"means":[3],"by":[4,31,63],"which":[5,82],"a":[6,56,65,153],"continuously":[7,144],"defined":[8,145],"model":[9,30,91,146],"fit":[11,178],"to":[12,27,69,74,79,85,128,141,156],"discrete":[13],"data":[14,18,71],"samples.":[15],"When":[16],"samples":[19,149],"are":[20],"exempt":[21],"of":[22,41,111,121,161,184],"noise,":[23],"it":[24],"seems":[25],"desirable":[26],"build":[28],"fitting":[32],"them":[33],"exactly.":[34],"In":[35,51,126],"medical":[36],"imaging,":[37],"where":[38,170],"quality":[39,62],"paramount":[42],"importance,":[43],"this":[44,52,124,132],"ideal":[45],"situation":[46],"unfortunately":[47],"does":[48],"not":[49],"occur.":[50],"paper,":[53],"we":[54,106,171],"propose":[55],"scheme":[57,155],"that":[58,108],"improves":[59],"on":[60,89,97,103],"specifying":[64],"tradeoff":[66],"between":[67],"fidelity":[68],"and":[72,100,150],"robustness":[73],"noise.":[76],"We":[77,138,163],"resort":[78],"variational":[80],"principles,":[81],"allow":[83],"us":[84],"impose":[86],"smoothness":[87],"constraints":[88],"for":[92,123],"tackling":[93],"noisy":[94,148],"data.":[95],"Based":[96],"shift-,":[98],"rotation-,":[99],"scale-invariant":[101],"requirements":[102],"model,":[105],"show":[107],"L(p)-norm":[110],"an":[112,176],"appropriate":[113],"vector":[114],"derivative":[115],"most":[118],"suitable":[119],"choice":[120],"regularization":[122,187],"purpose.":[125],"addition":[127],"Tikhonov-like":[129,189],"quadratic":[130,190],"regularization,":[131],"includes":[133],"edge-preserving":[134],"total-variation-like":[135],"(TV)":[136],"regularization.":[137,162,191],"give":[139],"algorithms":[140],"recover":[142],"from":[147],"also":[151],"provide":[152],"data-driven":[154],"determine":[157],"optimal":[159],"amount":[160],"validate":[164],"our":[165],"method":[166],"with":[167],"numerical":[168],"examples":[169],"demonstrate":[172],"its":[173],"superiority":[174],"over":[175,188],"exact":[177],"as":[179,181],"well":[180],"benefit":[183],"TV-like":[185],"nonquadratic":[186]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
