{"id":"https://openalex.org/W3012412297","doi":"https://doi.org/10.1117/12.2549586","title":"A generalized method for computation of n-dimensional Radon transforms","display_name":"A generalized method for computation of n-dimensional Radon transforms","publication_year":2020,"publication_date":"2020-03-10","ids":{"openalex":"https://openalex.org/W3012412297","doi":"https://doi.org/10.1117/12.2549586","mag":"3012412297"},"language":"en","primary_location":{"id":"doi:10.1117/12.2549586","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2549586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Medical Imaging 2020: Image Processing","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/A5005058303","display_name":"Robert Frysch","orcid":"https://orcid.org/0000-0003-2699-9468"},"institutions":[{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Robert Frysch","raw_affiliation_strings":["Univ. of Magdeburg (Germany)"],"affiliations":[{"raw_affiliation_string":"Univ. of Magdeburg (Germany)","institution_ids":["https://openalex.org/I4210138551"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013825564","display_name":"Tim Pfeiffer","orcid":"https://orcid.org/0000-0002-1483-6816"},"institutions":[{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Pfeiffer","raw_affiliation_strings":["Univ. of Magdeburg (Germany)"],"affiliations":[{"raw_affiliation_string":"Univ. of Magdeburg (Germany)","institution_ids":["https://openalex.org/I4210138551"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022172450","display_name":"Georg Rose","orcid":"https://orcid.org/0000-0002-2215-150X"},"institutions":[{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Georg Rose","raw_affiliation_strings":["Univ. of Magdeburg (Germany)"],"affiliations":[{"raw_affiliation_string":"Univ. of Magdeburg (Germany)","institution_ids":["https://openalex.org/I4210138551"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005058303"],"corresponding_institution_ids":["https://openalex.org/I4210138551"],"apc_list":null,"apc_paid":null,"fwci":0.0977,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.36359817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"87","last_page":"87"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9810000061988831,"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"}},"topics":[{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.9810000061988831,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.98089998960495,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9749000072479248,"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/computer-science","display_name":"Computer science","score":0.7127057313919067},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6391361951828003},{"id":"https://openalex.org/keywords/radon-transform","display_name":"Radon transform","score":0.6299757957458496},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5864902138710022},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5118288397789001},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.5117842555046082},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.49811744689941406},{"id":"https://openalex.org/keywords/radon","display_name":"Radon","score":0.4736253619194031},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.46529826521873474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43615150451660156},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.4280300438404083},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.36044180393218994},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3574492335319519},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29287469387054443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22251826524734497}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7127057313919067},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6391361951828003},{"id":"https://openalex.org/C197231052","wikidata":"https://www.wikidata.org/wiki/Q979829","display_name":"Radon transform","level":2,"score":0.6299757957458496},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5864902138710022},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5118288397789001},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.5117842555046082},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.49811744689941406},{"id":"https://openalex.org/C545943180","wikidata":"https://www.wikidata.org/wiki/Q1133","display_name":"Radon","level":2,"score":0.4736253619194031},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.46529826521873474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43615150451660156},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.4280300438404083},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.36044180393218994},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3574492335319519},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29287469387054443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22251826524734497},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1117/12.2549586","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2549586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Medical Imaging 2020: Image Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2086123442","https://openalex.org/W2596457687","https://openalex.org/W3212757063"],"abstract_inverted_index":{"Radon":[0,39],"transforms":[1],"allow":[2],"to":[3,59,119,133,159],"represent":[4],"n-dimensional":[5],"objects":[6],"by":[7,45,128],"all":[8],"their":[9],"possible":[10],"(n-1)-dimensional":[11,122],"integrals.":[12],"They":[13],"find":[14],"broad":[15],"usage":[16],"in":[17,98,124],"a":[18,60,64,68,86,116,125,134,161],"variety":[19],"of":[20,47,62,89,149,156,164],"image":[21],"processing":[22],"topics,":[23],"covering":[24],"pattern":[25],"recognition":[26],"and":[27,80,83,110,145],"tomographic":[28],"imaging.":[29],"Potentially":[30],"the":[31,37,48,121,130,165],"most":[32],"frequently":[33],"used":[34],"version":[35],"is":[36,42,108],"2D":[38,69],"transform":[40],"which":[41],"commonly":[43],"computed":[44],"means":[46],"ray":[49],"tracing":[50],"procedure":[51],"(Siddon,":[52],"Joseph":[53],"etc.).<sup>1</sup>":[54],"The":[55],"problem":[56,77,132],"comes":[57],"down":[58],"method":[61],"approximating":[63],"line":[65],"integral":[66],"through":[67],"pixelized":[70],"image.":[71],"For":[72],"higher":[73],"dimensions,":[74],"however,":[75],"this":[76],"becomes":[78],"more":[79,81],"complex":[82],"typically":[84],"involves":[85],"substantial":[87,109],"amount":[88],"case":[90],"differentiation,":[91],"making":[92,147],"it":[93],"particularly":[94],"ill-suited":[95],"for":[96,143],"use":[97,148],"massively":[99],"parallelized":[100],"computation":[101,163],"(e.g.":[102],"on":[103,153],"GPUs).":[104],"Additionally,":[105],"implementation":[106],"effort":[107],"quite":[111],"error-prone.":[112],"Here,":[113],"we":[114],"propose":[115],"simple":[117],"strategy":[118],"compute":[120],"integrals":[123],"generalized":[126],"manner":[127],"reducing":[129],"sampling":[131],"single":[135],"matrix":[136],"multiplication.":[137],"We":[138],"further":[139],"present":[140],"OpenCL":[141],"implementations":[142],"n=2":[144],"n=3,":[146],"hardware":[150],"interpolation":[151],"methods":[152],"texture":[154],"memory":[155],"GPU":[157],"devices":[158],"provide":[160],"fast":[162],"transform.":[166]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
