{"id":"https://openalex.org/W2109969399","doi":"https://doi.org/10.1117/12.2000482","title":"Method of G-particles for image reconstruction from a finite number of projections","display_name":"Method of G-particles for image reconstruction from a finite number of projections","publication_year":2013,"publication_date":"2013-03-07","ids":{"openalex":"https://openalex.org/W2109969399","doi":"https://doi.org/10.1117/12.2000482","mag":"2109969399"},"language":"en","primary_location":{"id":"doi:10.1117/12.2000482","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2000482","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","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/A5030506701","display_name":"Artyom M. Grigoryan","orcid":"https://orcid.org/0000-0001-6683-0064"},"institutions":[{"id":"https://openalex.org/I45438204","display_name":"The University of Texas at San Antonio","ror":"https://ror.org/01kd65564","country_code":"US","type":"education","lineage":["https://openalex.org/I45438204"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Artyom M. Grigoryan","raw_affiliation_strings":["The Univ. of Texas at San Antonio (United States)","The University of Texas at San Antonio, United States"],"affiliations":[{"raw_affiliation_string":"The Univ. of Texas at San Antonio (United States)","institution_ids":["https://openalex.org/I45438204"]},{"raw_affiliation_string":"The University of Texas at San Antonio, United States","institution_ids":["https://openalex.org/I45438204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100721788","display_name":"Nan Du","orcid":"https://orcid.org/0000-0003-0496-3392"},"institutions":[{"id":"https://openalex.org/I45438204","display_name":"The University of Texas at San Antonio","ror":"https://ror.org/01kd65564","country_code":"US","type":"education","lineage":["https://openalex.org/I45438204"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nan Du","raw_affiliation_strings":["The Univ. of Texas at San Antonio (United States)","The University of Texas at San Antonio, United States"],"affiliations":[{"raw_affiliation_string":"The Univ. of Texas at San Antonio (United States)","institution_ids":["https://openalex.org/I45438204"]},{"raw_affiliation_string":"The University of Texas at San Antonio, United States","institution_ids":["https://openalex.org/I45438204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030506701"],"corresponding_institution_ids":["https://openalex.org/I45438204"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14308825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8667","issue":null,"first_page":"866719","last_page":"866719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9204000234603882,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9204000234603882,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6343522071838379},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.5041214227676392},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.48457562923431396},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.470878928899765},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.46451085805892944},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.4563170373439789},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.40550369024276733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34937167167663574},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.3362763524055481},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.313222199678421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24110880494117737},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23766940832138062},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08662554621696472}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6343522071838379},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.5041214227676392},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.48457562923431396},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.470878928899765},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.46451085805892944},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.4563170373439789},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40550369024276733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34937167167663574},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.3362763524055481},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.313222199678421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24110880494117737},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23766940832138062},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08662554621696472},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1117/12.2000482","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.2000482","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","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":3,"referenced_works":["https://openalex.org/W564445787","https://openalex.org/W1455105953","https://openalex.org/W2105902816"],"related_works":["https://openalex.org/W2352472571","https://openalex.org/W1020620338","https://openalex.org/W1996592923","https://openalex.org/W2039329986","https://openalex.org/W2486990811","https://openalex.org/W2355290017","https://openalex.org/W1036286070","https://openalex.org/W2062195135","https://openalex.org/W2095746132","https://openalex.org/W2004988775"],"abstract_inverted_index":{"To":[0],"reconstruct":[1],"the":[2,10,13,25,53,64,80,94,99,105,116,119,128,137,142,149,156],"image":[3,37,117,129,138],"from":[4,130],"a":[5,31,45,67,88,113],"finite":[6,32],"number":[7,89],"of":[8,12,16,28,34,58,66,79,83,90,104,115,136,151],"projections,":[9],"concept":[11,78],"point":[14],"map":[15,57],"projections":[17],"is":[18,22,42,50,61,85,153],"described.":[19],"Each":[20],"projection":[21],"described":[23,51,86],"by":[24,52,118,148],"corresponding":[26],"set":[27,33],"line-integrals":[29],"along":[30],"rays.":[35],"The":[36,56,77,102,133],"element":[38],"with":[39,96,158],"its":[40,131],"geometry":[41],"considered":[43,62],"as":[44,87],"particle,":[46],"or":[47],"G-particle":[48],"which":[49,69],"field":[54,81,106,120],"function.":[55],"each":[59],"particle":[60],"in":[63],"form":[65],"matrix":[68],"describes":[70],"all":[71],"rays":[72,91],"passing":[73,92],"through":[74,93],"this":[75,123],"particle.":[76],"functions":[82,107],"particles":[84,95],"others":[97],"at":[98],"same":[100],"time.":[101],"consideration":[103],"for":[108,126],"these":[109],"G-particles":[110,152],"leads":[111],"to":[112],"representation":[114,124],"functions,":[121],"and":[122,144],"allows":[125],"reconstructing":[127],"projections.":[132],"reconstruction":[134],"<i>f<sub>n,m</sub></i>":[135],"<i>f(x,":[139],"y)</i>":[140],"on":[141,155],"64\u00d764":[143],"128\u00d7128":[145],"Cartesian":[146],"lattices":[147],"method":[150],"demonstrated":[154],"images":[157],"random":[159],"rectangles.":[160]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}