{"id":"https://openalex.org/W3006580213","doi":"https://doi.org/10.1007/978-3-030-40616-5_47","title":"The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems","display_name":"The Method of Approximate Inverse in Slice-by-Slice Vector Tomography Problems","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3006580213","doi":"https://doi.org/10.1007/978-3-030-40616-5_47","mag":"3006580213"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-40616-5_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-40616-5_47","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"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/A5021027536","display_name":"I. E. Svetov","orcid":"https://orcid.org/0000-0001-8113-5502"},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Ivan E. Svetov","raw_affiliation_strings":["Sobolev Institute of Mathematics, Novosibirsk, Russia"],"raw_orcid":"https://orcid.org/0000-0001-8113-5502","affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101408260","display_name":"Svetlana V. Maltseva","orcid":"https://orcid.org/0000-0002-6197-1738"},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Svetlana V. Maltseva","raw_affiliation_strings":["Sobolev Institute of Mathematics, Novosibirsk, Russia"],"raw_orcid":"https://orcid.org/0000-0002-6197-1738","affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics, Novosibirsk, Russia","institution_ids":["https://openalex.org/I4210096862"]}]},{"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":"Alfred K. Louis","raw_affiliation_strings":["Saarland University, Saarbrucken, Germany"],"raw_orcid":"https://orcid.org/0000-0001-8518-2592","affiliations":[{"raw_affiliation_string":"Saarland University, Saarbrucken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021027536"],"corresponding_institution_ids":["https://openalex.org/I4210096862"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.507,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.97489316,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"487","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9994000196456909,"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":0.9994000196456909,"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/T10522","display_name":"Medical Imaging Techniques and Applications","score":0.988099992275238,"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/T11183","display_name":"Advanced X-ray Imaging Techniques","score":0.9824000000953674,"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/solenoidal-vector-field","display_name":"Solenoidal vector field","score":0.9505995512008667},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.7225667834281921},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5974661111831665},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.586432158946991},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5762453079223633},{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5638107061386108},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5291517376899719},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44715616106987},{"id":"https://openalex.org/keywords/tomographic-reconstruction","display_name":"Tomographic reconstruction","score":0.43734657764434814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2696126699447632},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26459917426109314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23329228162765503},{"id":"https://openalex.org/keywords/iterative-reconstruction","display_name":"Iterative reconstruction","score":0.19604671001434326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19227024912834167},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11489680409431458},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.10289257764816284},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06767803430557251}],"concepts":[{"id":"https://openalex.org/C7451433","wikidata":"https://www.wikidata.org/wiki/Q1265039","display_name":"Solenoidal vector field","level":3,"score":0.9505995512008667},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.7225667834281921},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5974661111831665},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.586432158946991},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5762453079223633},{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5638107061386108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5291517376899719},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44715616106987},{"id":"https://openalex.org/C97742081","wikidata":"https://www.wikidata.org/wiki/Q7820109","display_name":"Tomographic reconstruction","level":3,"score":0.43734657764434814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2696126699447632},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26459917426109314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23329228162765503},{"id":"https://openalex.org/C141379421","wikidata":"https://www.wikidata.org/wiki/Q6094427","display_name":"Iterative reconstruction","level":2,"score":0.19604671001434326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19227024912834167},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11489680409431458},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.10289257764816284},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06767803430557251}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-40616-5_47","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-40616-5_47","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1545334034","https://openalex.org/W1979120450","https://openalex.org/W1992019499","https://openalex.org/W2011016066","https://openalex.org/W2012424541","https://openalex.org/W2023067200","https://openalex.org/W2023169992","https://openalex.org/W2025650106","https://openalex.org/W2060830457","https://openalex.org/W2089782886","https://openalex.org/W2123006997","https://openalex.org/W2126829454","https://openalex.org/W2147097328","https://openalex.org/W2147585767","https://openalex.org/W2152235628","https://openalex.org/W2198202054","https://openalex.org/W2495203957","https://openalex.org/W2757497079"],"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/W4229571370","https://openalex.org/W4280607740","https://openalex.org/W2803946379","https://openalex.org/W2027745255"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}