{"id":"https://openalex.org/W4392103778","doi":"https://doi.org/10.1137/23m1554746","title":"Analysis of View Aliasing for the Generalized Radon Transform in \\({\\mathbb R}^{\\textbf{2}}\\)","display_name":"Analysis of View Aliasing for the Generalized Radon Transform in \\({\\mathbb R}^{\\textbf{2}}\\)","publication_year":2024,"publication_date":"2024-02-23","ids":{"openalex":"https://openalex.org/W4392103778","doi":"https://doi.org/10.1137/23m1554746"},"language":"en","primary_location":{"id":"doi:10.1137/23m1554746","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1554746","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/A5034138273","display_name":"Alexander Katsevich","orcid":"https://orcid.org/0000-0002-6586-1210"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Katsevich","raw_affiliation_strings":["Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364 USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034138273"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":1.8986,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.8380996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"415","last_page":"440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9959999918937683,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/aliasing","display_name":"Aliasing","score":0.7657833099365234},{"id":"https://openalex.org/keywords/radon-transform","display_name":"Radon transform","score":0.7036405205726624},{"id":"https://openalex.org/keywords/radon","display_name":"Radon","score":0.5916776061058044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5166761875152588},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4063539206981659},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3354633152484894},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3255913257598877},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32501405477523804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30652302503585815},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1515910029411316},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.10809621214866638}],"concepts":[{"id":"https://openalex.org/C4069607","wikidata":"https://www.wikidata.org/wiki/Q868732","display_name":"Aliasing","level":3,"score":0.7657833099365234},{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.7036405205726624},{"id":"https://openalex.org/C545943180","wikidata":"https://www.wikidata.org/wiki/Q1133","display_name":"Radon","level":2,"score":0.5916776061058044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5166761875152588},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4063539206981659},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3354633152484894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3255913257598877},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32501405477523804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30652302503585815},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1515910029411316},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.10809621214866638},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/23m1554746","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1554746","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/G3833511977","display_name":null,"funder_award_id":"DMS-1906361","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W125446552","https://openalex.org/W1594563152","https://openalex.org/W1963678586","https://openalex.org/W1965093972","https://openalex.org/W1967822912","https://openalex.org/W1979994393","https://openalex.org/W1988604645","https://openalex.org/W1992584674","https://openalex.org/W2012252962","https://openalex.org/W2030815520","https://openalex.org/W2047875181","https://openalex.org/W2049042314","https://openalex.org/W2055096766","https://openalex.org/W2075416285","https://openalex.org/W2081900775","https://openalex.org/W2085532260","https://openalex.org/W2090769594","https://openalex.org/W2263822652","https://openalex.org/W2278660525","https://openalex.org/W2488815412","https://openalex.org/W2758992391","https://openalex.org/W2971239609","https://openalex.org/W2998428630","https://openalex.org/W3000202093","https://openalex.org/W3081280821","https://openalex.org/W3081346326","https://openalex.org/W3103436254","https://openalex.org/W3206217784","https://openalex.org/W4240644230","https://openalex.org/W4298264214","https://openalex.org/W4313204153","https://openalex.org/W4385755673","https://openalex.org/W4386708559"],"related_works":["https://openalex.org/W1964258184","https://openalex.org/W2063115400","https://openalex.org/W2040034980","https://openalex.org/W4387676042","https://openalex.org/W2370380226","https://openalex.org/W2066474113","https://openalex.org/W2070015709","https://openalex.org/W2026962349","https://openalex.org/W2038376958","https://openalex.org/W4291238320"],"abstract_inverted_index":{".In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"the":[5,12,50,57,68,71,90,103,106],"generalized":[6,95],"Radon":[7,92,96],"transform":[8,93,97],"\\(\\mathcal":[9,29,43,52],"R\\)":[10],"in":[11,56,67],"plane.":[13],"Let":[14],"\\(f\\)":[15,46,84],"be":[16,85],"a":[17,23,26,33],"piecewise":[18],"smooth":[19,27],"function,":[20],"which":[21,35],"has":[22],"jump":[24],"across":[25],"curve":[28],"S\\).":[30],"We":[31],"obtain":[32],"formula,":[34],"accurately":[36],"describes":[37],"view":[38,58],"aliasing":[39],"artifacts":[40],"away":[41],"from":[42,49],"S\\)":[44],"when":[45],"is":[47,62,65],"reconstructed":[48],"data":[51],"R":[53],"f\\)":[54],"discretized":[55],"direction.":[59],"The":[60,77],"formula":[61],"asymptotic,":[63],"it":[64],"established":[66],"limit":[69],"as":[70],"sampling":[72],"rate":[73],"\\(\\epsilon":[74],"\\to":[75],"0\\).":[76],"proposed":[78],"approach":[79],"does":[80],"not":[81],"require":[82],"that":[83],"band-limited.":[86],"Numerical":[87],"experiments":[88],"with":[89],"classical":[91],"and":[94],"(which":[98],"integrates":[99],"over":[100],"circles)":[101],"demonstrate":[102],"accuracy":[104],"of":[105],"formula.Keywordsaliasinggeneralized":[107],"Radonreconstructionasymptotic":[108],"estimatesMSC":[109],"codes44A1294A2092C5594A12":[110]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}