{"id":"https://openalex.org/W1984036124","doi":"https://doi.org/10.1155/2008/174283","title":"A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography","display_name":"A Reconstruction Approach for Imaging in 3D Cone Beam Vector Field Tomography","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1984036124","doi":"https://doi.org/10.1155/2008/174283","mag":"1984036124","pmid":"https://pubmed.ncbi.nlm.nih.gov/19197391"},"language":"en","primary_location":{"id":"doi:10.1155/2008/174283","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/174283","pdf_url":"https://downloads.hindawi.com/journals/ijbi/2008/174283.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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":"https://downloads.hindawi.com/journals/ijbi/2008/174283.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083589911","display_name":"Thomas Schuster","orcid":"https://orcid.org/0000-0002-2667-8691"},"institutions":[{"id":"https://openalex.org/I190134885","display_name":"Helmut Schmidt University","ror":"https://ror.org/04e8jbs38","country_code":"DE","type":"education","lineage":["https://openalex.org/I190134885"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"T. Schuster","raw_affiliation_strings":["Department of Mechanical Engineering, Helmut Schmidt University, Holstenhofweg 85, 22043 Hamburg, Germany. schuster@hsu-hh.de","Department of Mechanical Engineering, Helmut Schmidt University, Hamburg, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Helmut Schmidt University, Holstenhofweg 85, 22043 Hamburg, Germany. schuster@hsu-hh.de","institution_ids":["https://openalex.org/I190134885"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Helmut Schmidt University, Hamburg, Germany#TAB#","institution_ids":["https://openalex.org/I190134885"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038075187","display_name":"David Theis","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"D. Theis","raw_affiliation_strings":["Department of Applied Mathematics, Saarland University, P.O. Box 15 11 50, 66041 Saarbr\u00fccken, Germany","Department of Applied Mathematics, Saarland University, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Saarland University, P.O. Box 15 11 50, 66041 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Applied Mathematics, Saarland University, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028719622","display_name":"Alfred K. Louis","orcid":"https://orcid.org/0000-0001-8518-2592"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. K. Louis","raw_affiliation_strings":["Department of Applied Mathematics, Saarland University, P.O. Box 15 11 50, 66041 Saarbr\u00fccken, Germany","Department of Applied Mathematics, Saarland University, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Saarland University, P.O. Box 15 11 50, 66041 Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Applied Mathematics, Saarland University, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083589911"],"corresponding_institution_ids":["https://openalex.org/I190134885"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.7752,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.7508157,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2008","issue":"1","first_page":"174283","last_page":"174283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.9941999912261963,"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":0.9941999912261963,"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/T11993","display_name":"Atomic and Subatomic Physics Research","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.9714999794960022,"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/solenoidal-vector-field","display_name":"Solenoidal vector field","score":0.9598789215087891},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.7920955419540405},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5304490923881531},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4906517565250397},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4770490527153015},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.46332189440727234},{"id":"https://openalex.org/keywords/beam","display_name":"Beam (structure)","score":0.4516063630580902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4456233084201813},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.4110189974308014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3780681788921356},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.3743150532245636},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35622507333755493},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3392595946788788},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.29501867294311523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2822292447090149},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.09596291184425354}],"concepts":[{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.9598789215087891},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.7920955419540405},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5304490923881531},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4906517565250397},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4770490527153015},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.46332189440727234},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.4516063630580902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4456233084201813},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.4110189974308014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3780681788921356},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.3743150532245636},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35622507333755493},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3392595946788788},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.29501867294311523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2822292447090149},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.09596291184425354},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2008/174283","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/174283","pdf_url":"https://downloads.hindawi.com/journals/ijbi/2008/174283.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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:19197391","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/19197391","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:doaj.org/article:a811624a80c94ae0b971b4f31664dd5c","is_oa":true,"landing_page_url":"https://doaj.org/article/a811624a80c94ae0b971b4f31664dd5c","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Biomedical Imaging, Vol 2008 (2008)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:2635067","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/2635067","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"}],"best_oa_location":{"id":"doi:10.1155/2008/174283","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2008/174283","pdf_url":"https://downloads.hindawi.com/journals/ijbi/2008/174283.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"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"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":[],"awards":[{"id":"https://openalex.org/G1677429496","display_name":null,"funder_award_id":"1978/1-6","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984036124.pdf","grobid_xml":"https://content.openalex.org/works/W1984036124.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W73397753","https://openalex.org/W1806897574","https://openalex.org/W1882482072","https://openalex.org/W1977506423","https://openalex.org/W1977849232","https://openalex.org/W1978958855","https://openalex.org/W1979054340","https://openalex.org/W1989540264","https://openalex.org/W1998381888","https://openalex.org/W2001490481","https://openalex.org/W2011016066","https://openalex.org/W2014747938","https://openalex.org/W2025650106","https://openalex.org/W2028080603","https://openalex.org/W2060830457","https://openalex.org/W2061782497","https://openalex.org/W2065390928","https://openalex.org/W2080992495","https://openalex.org/W2096632054","https://openalex.org/W2112272415","https://openalex.org/W2131507345","https://openalex.org/W2140387002","https://openalex.org/W2147585767","https://openalex.org/W2151359544","https://openalex.org/W2157812230","https://openalex.org/W2159447937","https://openalex.org/W2169835892","https://openalex.org/W2494779131","https://openalex.org/W2952379075","https://openalex.org/W4233477980","https://openalex.org/W4243891370","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2025438663","https://openalex.org/W2996354014","https://openalex.org/W2037332128","https://openalex.org/W2327717198","https://openalex.org/W1216769707","https://openalex.org/W1459117173","https://openalex.org/W4280607740","https://openalex.org/W2153952631","https://openalex.org/W4229571370","https://openalex.org/W2803946379"],"abstract_inverted_index":{"3D":[0,140],"cone":[1,60,66,108],"beam":[2,61,67,109],"vector":[3,27,72,94,114],"field":[4,14,73],"tomography":[5],"(VFT)":[6],"aims":[7],"for":[8,111],"reconstructing":[9],"and":[10,116],"visualizing":[11],"the":[12,26,42,55,58,64,88,107,124,147],"velocity":[13],"of":[15,23,25,48,57,69,91,106,126,136],"a":[16,37,45,119],"moving":[17],"fluid":[18],"by":[19,33,153],"measuring":[20],"line":[21],"integrals":[22],"projections":[24],"field.":[28,95],"The":[29,143],"data":[30],"are":[31],"obtained":[32],"ultrasound":[34],"measurements":[35],"along":[36],"scanning":[38],"curve":[39],"which":[40],"surrounds":[41],"object.":[43],"From":[44],"mathematical":[46],"point":[47],"view,":[49],"we":[50,82,99,132],"have":[51],"to":[52,80,86],"deal":[53],"with":[54,74,160],"inversion":[56],"vectorial":[59,65],"transform.":[62],"Since":[63],"transform":[68,110],"any":[70],"gradient":[71],"compact":[75],"support":[76],"is":[77],"identically":[78],"equal":[79],"zero,":[81],"can":[83],"only":[84],"hope":[85],"reconstruct":[87],"solenoidal":[89,113],"part":[90],"an":[92],"arbitrary":[93],"In":[96,129],"this":[97,130],"paper":[98,148],"will":[100,149],"at":[101],"first":[102,156],"summarize":[103],"important":[104],"properties":[105],"three-dimensional":[112],"fields":[115],"then":[117],"propose":[118],"solution":[120],"approach":[121],"based":[122],"on":[123],"method":[125],"approximate":[127],"inverse.":[128],"context,":[131],"intensively":[133],"make":[134],"use":[135],"results":[137],"from":[138,155],"scalar":[139],"computerized":[141],"tomography.":[142],"findings":[144],"presented":[145],"in":[146],"continuously":[150],"be":[151],"illustrated":[152],"pictures":[154],"numerical":[157],"experiments":[158],"done":[159],"exact,":[161],"simulated":[162],"data.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}
