{"id":"https://openalex.org/W2099359941","doi":"https://doi.org/10.1109/isbi.2006.1625136","title":"A Fast and Accurate Decimation-In-Angle Hierarchical Fan-Beam Backprojection Algorithm","display_name":"A Fast and Accurate Decimation-In-Angle Hierarchical Fan-Beam Backprojection Algorithm","publication_year":2006,"publication_date":"2006-05-25","ids":{"openalex":"https://openalex.org/W2099359941","doi":"https://doi.org/10.1109/isbi.2006.1625136","mag":"2099359941"},"language":"en","primary_location":{"id":"doi:10.1109/isbi.2006.1625136","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2006.1625136","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006.","raw_type":"proceedings-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/A5045424429","display_name":"Alex George","orcid":"https://orcid.org/0000-0001-6813-5241"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. George","raw_affiliation_strings":["Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Dept. of ECE, Illinois Univ., Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of ECE, Illinois Univ., Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026523226","display_name":"Yoram Bresler","orcid":"https://orcid.org/0000-0002-9738-1094"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Bresler","raw_affiliation_strings":["Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, Urbana, IL, USA","Dept. of ECE, Illinois Univ., Urbana, IL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory and Department of ECE, University of Illinois, Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept. of ECE, Illinois Univ., Urbana, IL","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7973,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75773632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1188","last_page":"1191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":1.0,"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":1.0,"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/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9921000003814697,"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/decimation","display_name":"Decimation","score":0.8771322965621948},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7245492935180664},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6440781950950623},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5485700368881226},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5384445190429688},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.44778546690940857},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.4453841745853424},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.43231990933418274},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4279518127441406},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.42748939990997314},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.421597421169281},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.41971555352211},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.41502341628074646},{"id":"https://openalex.org/keywords/aliasing","display_name":"Aliasing","score":0.4149169325828552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.344989538192749},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.32764309644699097},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.29119184613227844},{"id":"https://openalex.org/keywords/undersampling","display_name":"Undersampling","score":0.07817718386650085}],"concepts":[{"id":"https://openalex.org/C173642442","wikidata":"https://www.wikidata.org/wiki/Q1253346","display_name":"Decimation","level":3,"score":0.8771322965621948},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7245492935180664},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6440781950950623},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5485700368881226},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5384445190429688},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.44778546690940857},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.4453841745853424},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.43231990933418274},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4279518127441406},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42748939990997314},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.421597421169281},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.41971555352211},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.41502341628074646},{"id":"https://openalex.org/C4069607","wikidata":"https://www.wikidata.org/wiki/Q868732","display_name":"Aliasing","level":3,"score":0.4149169325828552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.344989538192749},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.32764309644699097},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.29119184613227844},{"id":"https://openalex.org/C136536468","wikidata":"https://www.wikidata.org/wiki/Q1225894","display_name":"Undersampling","level":2,"score":0.07817718386650085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isbi.2006.1625136","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isbi.2006.1625136","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3rd IEEE International Symposium on Biomedical Imaging: Macro to Nano, 2006.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2037521346","https://openalex.org/W2167532763"],"related_works":["https://openalex.org/W2340678901","https://openalex.org/W3029686646","https://openalex.org/W1513711368","https://openalex.org/W2081696344","https://openalex.org/W1508038409","https://openalex.org/W1526941731","https://openalex.org/W1652270319","https://openalex.org/W4313343711","https://openalex.org/W2152123380","https://openalex.org/W2131316183"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,17,22,98,130],"fast":[3],"algorithm":[4,77,92,116],"for":[5,101,135],"backprojecting":[6,34],"images":[7,50,65,86,138],"from":[8,41],"tomographic":[9],"fan-beam":[10],"projections":[11,15,108],"that":[12],"aggregates":[13],"the":[14,46,49,52,57,60,76,80,84,88,91,94,115,124,136],"in":[16,45,51,87],"hierarchical":[18],"structure":[19],"and":[20,59],"achieves":[21],"computational":[23,73],"cost":[24,74],"of":[25,63,68,75,83,107,109],"O(N":[26],"<sup":[27],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2":[29],"</sup>":[30],"log":[31],"P),":[32],"when":[33],"an":[35,103],"N":[36,38],"times":[37],"pixel":[39],"image":[40,104],"P":[42],"projections.":[43,70],"Like":[44],"parallel-beam":[47],"algorithm,":[48],"hierarchy":[53],"are":[54],"formed":[55],"by":[56,121],"rotation":[58],"adding":[61],"together":[62],"other":[64],"made":[66,105],"up":[67,106],"fewer":[69],"The":[71],"low":[72],"depends":[78],"on":[79],"efficient":[81,132],"sampling":[82,102,133],"intermediate":[85,137],"hierarchy.":[89],"Understanding":[90],"within":[93],"signal":[95],"processing":[96],"framework,":[97],"general":[99],"scheme":[100,134],"arbitrary":[110],"geometries":[111],"is":[112,117],"introduced.":[113],"While":[114],"related":[118],"to":[119,129],"one":[120],"Nilsson":[122],"(1997),":[123],"Fourier":[125],"domain":[126],"understanding":[127],"leads":[128],"more":[131]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}