{"id":"https://openalex.org/W2045861718","doi":"https://doi.org/10.1109/tip.2011.2164416","title":"CT Reconstruction From Parallel and Fan-Beam Projections by a 2-D Discrete Radon Transform","display_name":"CT Reconstruction From Parallel and Fan-Beam Projections by a 2-D Discrete Radon Transform","publication_year":2011,"publication_date":"2011-09-12","ids":{"openalex":"https://openalex.org/W2045861718","doi":"https://doi.org/10.1109/tip.2011.2164416","mag":"2045861718","pmid":"https://pubmed.ncbi.nlm.nih.gov/21843992"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2011.2164416","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2011.2164416","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5080836593","display_name":"Amir Averbuch","orcid":"https://orcid.org/0000-0001-8177-235X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Amir Averbuch","raw_affiliation_strings":["School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. amir@math.tau.ac.il","School of Computer Science Tel Aviv University Tel Aviv Israel"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel. amir@math.tau.ac.il","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Computer Science Tel Aviv University Tel Aviv Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060063500","display_name":"I. Sedelnikov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210131878","display_name":"Samsung (Israel)","ror":"https://ror.org/03k1ymh78","country_code":"IL","type":"company","lineage":["https://openalex.org/I2250650973","https://openalex.org/I4210131878"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ilya Sedelnikov","raw_affiliation_strings":["Samsung Israel Research Center, Samsung Israel Research Center, Ramat-Gan, Israel","Samsung Israel Res. Center, Ramat Gan, Israel"],"affiliations":[{"raw_affiliation_string":"Samsung Israel Research Center, Samsung Israel Research Center, Ramat-Gan, Israel","institution_ids":["https://openalex.org/I4210131878"]},{"raw_affiliation_string":"Samsung Israel Res. Center, Ramat Gan, Israel","institution_ids":["https://openalex.org/I4210131878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037804006","display_name":"Yoel Shkolnisky","orcid":"https://orcid.org/0000-0001-8784-3753"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yoel Shkolnisky","raw_affiliation_strings":["Department of Applied Mathematics, School of Mathematical Sciences, Tel Aviv University, Tel-Aviv, Israel","Dept. of Appl. Math., Tel-Aviv Univ., Tel-Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, School of Mathematical Sciences, Tel Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Dept. of Appl. Math., Tel-Aviv Univ., Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080836593"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":1.826,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.84233788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"21","issue":"2","first_page":"733","last_page":"741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T12386","display_name":"Advanced X-ray and CT Imaging","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9936000108718872,"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/radon-transform","display_name":"Radon transform","score":0.7752344608306885},{"id":"https://openalex.org/keywords/radon","display_name":"Radon","score":0.6011550426483154},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5734847784042358},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4978523254394531},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.430713415145874},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4295896887779236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37845754623413086},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3751559257507324},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37382179498672485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34843122959136963},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3394903242588043},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.2905183434486389},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22914248704910278}],"concepts":[{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.7752344608306885},{"id":"https://openalex.org/C545943180","wikidata":"https://www.wikidata.org/wiki/Q1133","display_name":"Radon","level":2,"score":0.6011550426483154},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5734847784042358},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4978523254394531},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.430713415145874},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4295896887779236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37845754623413086},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3751559257507324},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37382179498672485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34843122959136963},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3394903242588043},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.2905183434486389},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22914248704910278},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D006257","descriptor_name":"Head","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006257","descriptor_name":"Head","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006257","descriptor_name":"Head","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":"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":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008954","descriptor_name":"Models, Biological","qualifier_ui":null,"qualifier_name":null,"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":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D019047","descriptor_name":"Phantoms, Imaging","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2011.2164416","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2011.2164416","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"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 Image Processing","raw_type":"journal-article"},{"id":"pmid:21843992","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21843992","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 image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5699999928474426,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1525856537","https://openalex.org/W1968190523","https://openalex.org/W1987733917","https://openalex.org/W1987967689","https://openalex.org/W2009557540","https://openalex.org/W2032322171","https://openalex.org/W2037521346","https://openalex.org/W2058583833","https://openalex.org/W2085744431","https://openalex.org/W2100606485","https://openalex.org/W2103193587","https://openalex.org/W2126068349","https://openalex.org/W2134700300","https://openalex.org/W2145777459","https://openalex.org/W4292101282","https://openalex.org/W4299416517"],"related_works":["https://openalex.org/W1964258184","https://openalex.org/W2063115400","https://openalex.org/W2040034980","https://openalex.org/W2070015709","https://openalex.org/W4387676042","https://openalex.org/W2370380226","https://openalex.org/W2026962349","https://openalex.org/W2038376958","https://openalex.org/W2086842538","https://openalex.org/W2079352884"],"abstract_inverted_index":{"The":[0,62],"discrete":[1,18],"Radon":[2,15],"transform":[3,16],"(DRT)":[4],"was":[5],"defined":[6],"by":[7],"Abervuch":[8],"as":[9,74],"an":[10],"analog":[11],"of":[12,35,47,54,77],"the":[13,21,45,48,52,72,75,83,94],"continuous":[14,60],"for":[17,33,51,82,100],"data.":[19],"Both":[20],"DRT":[22,50,63,96],"and":[23,64],"its":[24,59,65],"inverse":[25,49,66,95],"are":[26,67,88],"computable":[27],"in":[28],"O(n(2)":[29],"log":[30],"n)":[31],"operations":[32],"images":[34],"size":[36],"n":[37],"\u00d7":[38],"n.":[39],"In":[40],"this":[41],"paper,":[42],"we":[43],"demonstrate":[44],"applicability":[46],"reconstruction":[53,84,101],"a":[55],"2-D":[56],"object":[57],"from":[58,85,102],"projections.":[61],"shown":[68],"to":[69],"model":[70],"accurately":[71],"continuum":[73],"number":[76],"samples":[78],"increases.":[79],"Numerical":[80],"results":[81],"parallel":[86],"projections":[87,104],"presented.":[89],"We":[90],"also":[91],"show":[92],"that":[93],"can":[97],"be":[98],"used":[99],"fan-beam":[103],"with":[105],"equispaced":[106],"detectors.":[107]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-05T09:29:38.588285","created_date":"2025-10-10T00:00:00"}
