{"id":"https://openalex.org/W2738796029","doi":"https://doi.org/10.1155/2017/1867025","title":"An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions","display_name":"An Improved Extrapolation Scheme for Truncated CT Data Using 2D Fourier-Based Helgason-Ludwig Consistency Conditions","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2738796029","doi":"https://doi.org/10.1155/2017/1867025","mag":"2738796029","pmid":"https://pubmed.ncbi.nlm.nih.gov/28808441"},"language":"en","primary_location":{"id":"doi:10.1155/2017/1867025","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/1867025","pdf_url":"http://downloads.hindawi.com/journals/ijbi/2017/1867025.pdf","source":{"id":"https://openalex.org/S108408918","display_name":"International Journal of Biomedical Imaging","issn_l":"1687-4188","issn":["1687-4188","1687-4196"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Biomedical Imaging","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/ijbi/2017/1867025.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101917126","display_name":"Yan Xia","orcid":"https://orcid.org/0000-0002-9866-4862"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Yan Xia","raw_affiliation_strings":["Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany","Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9866-4862","affiliations":[{"raw_affiliation_string":"Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany","institution_ids":[]},{"raw_affiliation_string":"Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075739523","display_name":"Martin Berger","orcid":"https://orcid.org/0000-0003-3239-5812"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Berger","raw_affiliation_strings":["Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031540987","display_name":"Sebastian Bauer","orcid":"https://orcid.org/0000-0001-5949-8120"},"institutions":[{"id":"https://openalex.org/I4210153902","display_name":"Siemens Healthineers (Germany)","ror":"https://ror.org/0449c4c15","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210153902"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sebastian Bauer","raw_affiliation_strings":["Siemens Healthcare GmbH, Forchheim, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Siemens Healthcare GmbH, Forchheim, Germany","institution_ids":["https://openalex.org/I4210153902"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101786864","display_name":"Shiyang Hu","orcid":"https://orcid.org/0000-0002-7174-597X"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Shiyang Hu","raw_affiliation_strings":["Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany","Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany","institution_ids":[]},{"raw_affiliation_string":"Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041438833","display_name":"Andr\u00e9 Aichert","orcid":null},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andre Aichert","raw_affiliation_strings":["Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101619735","display_name":"Andreas Maier","orcid":"https://orcid.org/0000-0002-9550-5284"},"institutions":[{"id":"https://openalex.org/I181369854","display_name":"Friedrich-Alexander-Universit\u00e4t Erlangen-N\u00fcrnberg","ror":"https://ror.org/00f7hpc57","country_code":"DE","type":"education","lineage":["https://openalex.org/I181369854"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Andreas Maier","raw_affiliation_strings":["Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany","Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-9550-5284","affiliations":[{"raw_affiliation_string":"Erlangen Graduate School in Advanced Optical Technologies (SAOT), Erlangen, Germany","institution_ids":[]},{"raw_affiliation_string":"Pattern Recognition Lab, Friedrich-Alexander-University Erlangen-Nuremberg, Erlangen, Germany","institution_ids":["https://openalex.org/I181369854"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101619735"],"corresponding_institution_ids":["https://openalex.org/I181369854"],"apc_list":{"value":925,"currency":"USD","value_usd":925},"apc_paid":{"value":1045,"currency":"EUR","value_usd":1127},"fwci":0.772,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.71750212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2017","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9954000115394592,"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/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/3108","display_name":"Radiation"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.7681771516799927},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6376296877861023},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6019962430000305},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5662476420402527},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.5548730492591858},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.543548583984375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5197300910949707},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.46152085065841675},{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.45997950434684753},{"id":"https://openalex.org/keywords/data-consistency","display_name":"Data consistency","score":0.43176621198654175},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.41711753606796265},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.41411563754081726},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35021063685417175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3296816349029541},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2770676612854004},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.24273955821990967},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.161695659160614}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7681771516799927},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6376296877861023},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6019962430000305},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5662476420402527},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.5548730492591858},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.543548583984375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5197300910949707},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.46152085065841675},{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.45997950434684753},{"id":"https://openalex.org/C93361087","wikidata":"https://www.wikidata.org/wiki/Q4426698","display_name":"Data consistency","level":2,"score":0.43176621198654175},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.41711753606796265},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.41411563754081726},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35021063685417175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3296816349029541},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2770676612854004},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24273955821990967},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.161695659160614},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1155/2017/1867025","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/1867025","pdf_url":"http://downloads.hindawi.com/journals/ijbi/2017/1867025.pdf","source":{"id":"https://openalex.org/S108408918","display_name":"International Journal of Biomedical Imaging","issn_l":"1687-4188","issn":["1687-4188","1687-4196"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Biomedical Imaging","raw_type":"journal-article"},{"id":"pmid:28808441","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28808441","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":"International journal of biomedical imaging","raw_type":null},{"id":"pmh:oai:ub.uni-erlangen.de-opus:9504","is_oa":true,"landing_page_url":"https://opus4.kobv.de/opus4-fau/files/9504/Xia_an_improved.pdf","pdf_url":"https://opus4.kobv.de/opus4-fau/files/9504/Xia_an_improved.pdf","source":{"id":"https://openalex.org/S4306402340","display_name":"OPUS FAU (Kooperativer Bibliotheksverbund Berlin-Brandenburg (KOBV), on behalf of the Universit\u00e4tsbibliothek Erlangen-N\u00fcrnberg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:5541827","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/5541827","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Int J Biomed Imaging","raw_type":"Text"},{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-030294821","is_oa":false,"landing_page_url":"http://d-nb.info/1154595595/34","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"software, multimedia"},{"id":"pmh:oai:doaj.org/article:76d4cf3f2e1242baba6f5af4447eb63a","is_oa":false,"landing_page_url":"https://doaj.org/article/76d4cf3f2e1242baba6f5af4447eb63a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Biomedical Imaging, Vol 2017 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2017/1867025","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2017/1867025","pdf_url":"http://downloads.hindawi.com/journals/ijbi/2017/1867025.pdf","source":{"id":"https://openalex.org/S108408918","display_name":"International Journal of Biomedical Imaging","issn_l":"1687-4188","issn":["1687-4188","1687-4196"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Biomedical Imaging","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.5799999833106995}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324237","display_name":"Erlangen Graduate School of Advanced Optical Technologies","ror":"https://ror.org/00f7hpc57"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2738796029.pdf","grobid_xml":"https://content.openalex.org/works/W2738796029.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W1979565583","https://openalex.org/W2009979575","https://openalex.org/W2016349822","https://openalex.org/W2037630569","https://openalex.org/W2041200067","https://openalex.org/W2062682184","https://openalex.org/W2075980401","https://openalex.org/W2076660832","https://openalex.org/W2103093176","https://openalex.org/W2114313379","https://openalex.org/W2114837552","https://openalex.org/W2116765833","https://openalex.org/W2120152546","https://openalex.org/W2143531541","https://openalex.org/W2149465693","https://openalex.org/W2157597287","https://openalex.org/W4298264214"],"related_works":["https://openalex.org/W2371136327","https://openalex.org/W2890757232","https://openalex.org/W4293234107","https://openalex.org/W2092729804","https://openalex.org/W2370549269","https://openalex.org/W2386824811","https://openalex.org/W2354618530","https://openalex.org/W2081226903","https://openalex.org/W2363452175","https://openalex.org/W2375225935"],"abstract_inverted_index":{"We":[0],"improve":[1],"data":[2,120,158],"extrapolation":[3,180],"for":[4,45],"truncated":[5,117],"computed":[6],"tomography":[7],"(CT)":[8],"projections":[9,118],"by":[10,131],"using":[11,156],"Helgason-Ludwig":[12],"(HL)":[13],"consistency":[14,36,97,134],"conditions":[15,37,98],"that":[16,56,95,114,166],"mathematically":[17],"describe":[18],"the":[19,34,78,85,96,116,127,140,148,167],"overlap":[20],"of":[21,33,81,91,125,139,161],"information":[22],"between":[23],"projections.":[24],"First,":[25],"we":[26,110],"theoretically":[27],"derive":[28],"a":[29,59,64,82,112,122,178],"2D":[30,68,104],"Fourier":[31,69,79,106],"representation":[32,93],"HL":[35],"from":[38,121],"their":[39],"original":[40],"formulation":[41],"(projection":[42],"moment":[43],"theorem),":[44],"both":[46],"parallel-beam":[47],"and":[48,159],"fan-beam":[49],"imaging":[50],"geometry.":[51],"The":[52,88,136,151],"derivation":[53],"result":[54],"indicates":[55],"there":[57],"is":[58,73,94,154,173],"zero":[60],"energy":[61],"region":[62],"forming":[63],"double-wedge":[65],"shape":[66],"in":[67,84],"domain.":[70],"This":[71],"observation":[72],"also":[74],"referred":[75],"to":[76,146,177],"as":[77],"property":[80],"sinogram":[83],"previous":[86],"literature.":[87],"major":[89],"benefit":[90],"this":[92],"can":[99,143],"be":[100,144],"efficiently":[101],"evaluated":[102,155],"via":[103],"fast":[105],"transform":[107],"(FFT).":[108],"Then,":[109],"suggest":[111],"method":[113],"extrapolates":[115],"with":[119],"uniform":[123],"ellipse":[124,142],"which":[126],"parameters":[128],"are":[129],"determined":[130],"optimizing":[132],"these":[133],"conditions.":[135],"forward":[137],"projection":[138],"optimized":[141],"used":[145],"complete":[147],"truncation":[149],"data.":[150,163],"proposed":[152],"algorithm":[153],"simulated":[157],"reprojections":[160],"clinical":[162],"Results":[164],"show":[165],"root":[168],"mean":[169],"square":[170],"error":[171],"(RMSE)":[172],"reduced":[174],"substantially,":[175],"compared":[176],"state-of-the-art":[179],"method.":[181]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}