{"id":"https://openalex.org/W24691272","doi":"https://doi.org/10.1007/978-1-4612-1568-4_20","title":"A Recursive Algorithm for Diffuse Planar Tomography","display_name":"A Recursive Algorithm for Diffuse Planar Tomography","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W24691272","doi":"https://doi.org/10.1007/978-1-4612-1568-4_20","mag":"24691272"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4612-1568-4_20","doi":"https://doi.org/10.1007/978-1-4612-1568-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4612-1568-4_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210186319","display_name":"Applied and numerical harmonic analysis","issn_l":"2296-5009","issn":["2296-5009","2296-5017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied and Numerical Harmonic Analysis","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4246976109","display_name":"Discrete Tomography"},"type":"book-chapter","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/A5049853015","display_name":"Sarah Patch","orcid":"https://orcid.org/0000-0003-0969-3328","observed_orcids":["https://orcid.org/0000-0003-0969-3328"]},"institutions":[{"id":"https://openalex.org/I1332737386","display_name":"General Electric (United States)","ror":"https://ror.org/013msgt25","country_code":"US","type":"company","lineage":["https://openalex.org/I1332737386"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sarah K. Patch","raw_affiliation_strings":["General Electric Company Corporate Research and Development, Industrial Electronics Laboratory, KW B405, Schenectady, NY, 12301-0008, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"General Electric Company Corporate Research and Development, Industrial Electronics Laboratory, KW B405, Schenectady, NY, 12301-0008, USA","institution_ids":["https://openalex.org/I1332737386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5049853015"],"corresponding_institution_ids":["https://openalex.org/I1332737386"],"apc_list":null,"apc_paid":null,"fwci":3.6199,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.92481811,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"435","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9398999810218811,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9398999810218811,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.019500000402331352,"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/T10977","display_name":"Optical Imaging and Spectroscopy Techniques","score":0.010900000110268593,"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/discrete-tomography","display_name":"discrete tomography","score":0.9300000071525574},{"id":"https://openalex.org/keywords/anisotropic-scattering","display_name":"anisotropic scattering","score":0.9359999895095825},{"id":"https://openalex.org/keywords/recursive-algorithm","display_name":"recursive algorithm","score":0.8320000171661377},{"id":"https://openalex.org/keywords/markov-transition-probabilities","display_name":"Markov transition probabilities","score":0.9860000014305115},{"id":"https://openalex.org/keywords/planar-lattices","display_name":"planar lattices","score":0.5929999947547913},{"id":"https://openalex.org/keywords/boundary-measurements","display_name":"boundary measurements","score":0.6650000214576721},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.6679999828338623}],"concepts":[{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.6544538140296936},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6501703858375549},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6433957815170288},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5106144547462463},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5092798471450806},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.446611613035202},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.44083595275878906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4011882543563843},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22984269261360168},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17679396271705627},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17196983098983765},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10516023635864258},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4612-1568-4_20","doi":"https://doi.org/10.1007/978-1-4612-1568-4_20","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4612-1568-4_20","pdf_url":null,"source":{"id":"https://openalex.org/S4210186319","display_name":"Applied and numerical harmonic analysis","issn_l":"2296-5009","issn":["2296-5009","2296-5017"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied and Numerical Harmonic Analysis","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1210424432","https://openalex.org/W1515192744","https://openalex.org/W1553932912","https://openalex.org/W1976184570","https://openalex.org/W1985826631","https://openalex.org/W2053719874","https://openalex.org/W2153767608","https://openalex.org/W2160769347","https://openalex.org/W2168683051","https://openalex.org/W4301746773"],"related_works":["https://openalex.org/W2069345360","https://openalex.org/W180226575","https://openalex.org/W2279960256","https://openalex.org/W2135422132","https://openalex.org/W2032417106","https://openalex.org/W2160769347","https://openalex.org/W1984993624","https://openalex.org/W2067804084","https://openalex.org/W2014163263","https://openalex.org/W31869022"],"abstract_inverted_index":{"Diffuse":[0],"tomography":[1,6],"generalizes":[2],"the":[3,35,44,54,65,72,78],"standard":[4],"discrete":[5],"problem,permitting":[7],"anisotropic":[8],"scattering.":[9],"The":[10],"diffuse":[11],"problem":[12,45],"involves":[13],"more":[14,18],"unknowns,":[15],"and":[16,62,71],"also":[17],"data.":[19],"Markov":[20],"transition":[21],"probabilities":[22],"are":[23],"recovered":[24],"from":[25],"measurements":[26],"taken":[27],"at":[28],"all":[29],"pairs":[30],"of":[31],"input/output":[32],"ports":[33],"on":[34,46],"boundary.":[36],"A":[37],"recursive":[38],"algorithm":[39,80],"is":[40,69],"used":[41],"to":[42],"solve":[43],"a":[47],"general":[48],"n":[49,51],"\u00d7":[50],"lattice":[52],"in":[53],"plane.":[55],"These":[56],"keywords":[57,73],"were":[58],"added":[59],"by":[60,64],"machine":[61],"not":[63],"authors.":[66],"This":[67],"process":[68],"experimental":[70],"may":[74],"be":[75],"updated":[76],"as":[77],"learning":[79],"improves.":[81]},"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2016-06-24T00:00:00"}