{"id":"https://openalex.org/W2070154783","doi":"https://doi.org/10.1109/tassp.1983.1164196","title":"A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered-backpropagation","display_name":"A computational study of reconstruction algorithms for diffraction tomography: Interpolation versus filtered-backpropagation","publication_year":1983,"publication_date":"1983-10-01","ids":{"openalex":"https://openalex.org/W2070154783","doi":"https://doi.org/10.1109/tassp.1983.1164196","mag":"2070154783"},"language":"en","primary_location":{"id":"doi:10.1109/tassp.1983.1164196","doi":"https://doi.org/10.1109/tassp.1983.1164196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1983.1164196","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2070154783"],"child_works_count":0,"type":"article","is_traditional":true,"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":null,"display_name":"S. Pan","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"S. Pan","raw_affiliation_strings":["Beijing Institute of Aeronautics and Astronautics, Beijing, China","School of Electrical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Institute of Aeronautics and Astronautics, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Electrical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084427797","display_name":"A.C. Kak","orcid":"https://orcid.org/0000-0001-5142-7715","observed_orcids":["https://orcid.org/0000-0001-5142-7715"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Kak","raw_affiliation_strings":["School of Electrical Engineering, Purdue University, West Lafayette, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.4898,"has_fulltext":false,"cited_by_count":313,"citation_normalized_percentile":{"value":0.99466592,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":100},"biblio":{"volume":"31","issue":"5","first_page":"1262","last_page":"1275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.7476000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11739","display_name":"Microwave Imaging and Scattering Analysis","score":0.7476000189781189,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.16140000522136688,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.013799999840557575,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diffraction-tomography","display_name":"diffraction tomography","score":0.996999979019165},{"id":"https://openalex.org/keywords/image-reconstruction-algorithms","display_name":"image reconstruction algorithms","score":0.7839999794960022},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"bilinear interpolation","score":0.9629999995231628},{"id":"https://openalex.org/keywords/filtered-backpropagation","display_name":"filtered backpropagation","score":0.8690000176429749},{"id":"https://openalex.org/keywords/fourier-slice-theorem","display_name":"Fourier slice theorem","score":0.9779999852180481},{"id":"https://openalex.org/keywords/computational-complexity","display_name":"computational complexity","score":0.5720000267028809},{"id":"https://openalex.org/keywords/underwater-acoustic-imaging","display_name":"underwater acoustic imaging","score":0.5009999871253967},{"id":"https://openalex.org/keywords/seismic-imaging","display_name":"seismic imaging","score":0.6990000009536743}],"concepts":[{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.6911175847053528},{"id":"https://openalex.org/C155032097","wikidata":"https://www.wikidata.org/wiki/Q798503","display_name":"Backpropagation","level":3,"score":0.6715965270996094},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6492946147918701},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6437694430351257},{"id":"https://openalex.org/C2780977457","wikidata":"https://www.wikidata.org/wiki/Q5275401","display_name":"Diffraction tomography","level":3,"score":0.6304589509963989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.623113751411438},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.5507253408432007},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.4772060811519623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4713708162307739},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.4601491093635559},{"id":"https://openalex.org/C77928272","wikidata":"https://www.wikidata.org/wiki/Q7243214","display_name":"Prime-factor FFT algorithm","level":5,"score":0.4462519884109497},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.4167419373989105},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.36245205998420715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3321874737739563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29865556955337524},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2629660367965698},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1944737434387207},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.1806778609752655},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.179901123046875},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.1719147264957428},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1569100022315979},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.07153794169425964}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tassp.1983.1164196","doi":"https://doi.org/10.1109/tassp.1983.1164196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tassp.1983.1164196","pdf_url":null,"source":{"id":"https://openalex.org/S98930721","display_name":"IEEE Transactions on Acoustics Speech and Signal Processing","issn_l":"0096-3518","issn":["0096-3518"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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 Acoustics, Speech, and Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W12928257","https://openalex.org/W1573293896","https://openalex.org/W1622620102","https://openalex.org/W1972312752","https://openalex.org/W1981550516","https://openalex.org/W1996337374","https://openalex.org/W1998252779","https://openalex.org/W2002832520","https://openalex.org/W2014612649","https://openalex.org/W2021304998","https://openalex.org/W2039472483","https://openalex.org/W2065015198","https://openalex.org/W2080477104","https://openalex.org/W2084653147","https://openalex.org/W2095113350","https://openalex.org/W2127581985","https://openalex.org/W2134524183","https://openalex.org/W2146583368","https://openalex.org/W2162969392","https://openalex.org/W2171643867","https://openalex.org/W4232188322"],"related_works":["https://openalex.org/W2168874677","https://openalex.org/W196588498","https://openalex.org/W2017624220","https://openalex.org/W4250027262","https://openalex.org/W2515998063","https://openalex.org/W2102664735","https://openalex.org/W2155386867","https://openalex.org/W2024446598","https://openalex.org/W2088444663","https://openalex.org/W4408874543"],"abstract_inverted_index":{"From":[0],"the":[1,35,53,61,75,111,115,118,128,134],"standpoint":[2],"of":[3,26,110,117,127,136],"reporting":[4],"a":[5,78],"new":[6],"contribution,":[7],"this":[8,71],"paper":[9],"shows":[10],"that":[11,32,86],"by":[12,17,34,40],"using":[13],"bilinear":[14],"interpolation":[15],"followed":[16],"direct":[18],"two-dimensional":[19],"Fourier":[20,119,130],"inversion,":[21],"one":[22],"can":[23],"obtain":[24],"reconstructions":[25],"quality":[27],"which":[28,123],"is":[29,87,114,124],"comparable":[30],"to":[31,73,81,133],"produced":[33],"filtered-backpropagation":[36],"algorithm":[37],"proposed":[38],"recently":[39],"Devaney.":[41],"For":[42],"an":[43,84,125],"N":[44,46,50],"\u00d7":[45],"image":[47,137],"reconstructed":[48],"from":[49],"diffracted":[51],"projections,":[52],"former":[54],"approach":[55],"requires":[56,64],"approximately":[57,65],"4N":[58],"FFT's,":[59],"whereas":[60],"backpropagation":[62],"technique":[63],"N2FFT's.":[66],"We":[67],"have":[68],"also":[69,97],"taken":[70],"opportunity":[72],"present":[74],"reader":[76],"with":[77,103,139],"tutorial":[79,112],"introduction":[80],"diffraction":[82,120],"tomography,":[83],"area":[85],"becoming":[88],"increasingly":[89],"important":[90],"not":[91],"only":[92],"in":[93,98],"medical":[94],"imaging,":[95],"but":[96],"underwater":[99],"and":[100,105],"seismic":[101],"mapping":[102],"microwaves":[104],"sound.":[106],"The":[107],"main":[108],"feature":[109],"part":[113],"statement":[116],"projection":[121],"theorem,":[122],"extension":[126],"traditional":[129],"slice":[131],"theorem":[132],"case":[135],"formation":[138],"diffracting":[140],"illumination.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":6}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}