FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000516077> ?p ?o ?g. }

• W2000516077 endingPage "2903" @default.
• W2000516077 startingPage "2883" @default.
• W2000516077 abstract "Magnetic resonance electrical impedance tomography (MREIT) takes advantage of internal information to solve its nonlinear inverse problem of recovering a conductivity distribution inside an imaging object. When we inject current into the imaging object, there occurs a distribution of internal magnetic flux density $mathbf{B}=(B_x,B_y,B_z)$. In MREIT we utilize a magnetic resonance imaging scanner with its main magnetic field in the z direction to acquire $B_z$ data. The harmonic $B_z$ algorithm was invented in 2001 to reconstruct cross-sectional conductivity images from $B_z$ data sets subject to multiple injection currents. Utilizing internal $B_z$ data, it overcomes the inherent ill posedness in electrical impedance tomography. We can set up the inverse problem in MREIT as a coefficient identification problem of finding $sigma$ appearing in $nablacdot(sigmanabla u)=0$ from acquired data of the z component of $nablatimes(sigmanabla u)$. The harmonic $B_z$ algorithm has shown an excellent performance in numerical simulations and phantom experiments. Experimental MREIT studies have now reached the stage of in vivo animal and human imaging experiments. However, there is not much work on rigorous mathematical theories of error estimate and convergence analysis yet. The purpose of this paper is to provide a posteriori error estimate in MREIT conductivity image reconstructions. This enables us to evaluate a difference between a reconstructed conductivity image and the unknown true conductivity image. We also describe a convergence analysis of the harmonic $B_z$ algorithm, which improves the previous result of [J. J. Liu, J. K. Seo, M. Sini, and E. J. Woo, SIAM J. Appl. Math., 67 (2007), pp. 1259–1282] in the sense that assumptions on the conductivity are much relaxed." @default.
• W2000516077 created "2016-06-24" @default.
• W2000516077 creator A5020584084 @default.
• W2000516077 creator A5034037522 @default.
• W2000516077 creator A5074050033 @default.
• W2000516077 date "2010-01-01" @default.
• W2000516077 modified "2023-09-26" @default.
• W2000516077 title "A Posteriori Error Estimate and Convergence Analysis for Conductivity Image Reconstruction in MREIT" @default.
• W2000516077 cites W1966505992 @default.
• W2000516077 cites W1971508657 @default.
• W2000516077 cites W1978393821 @default.
• W2000516077 cites W1979027120 @default.
• W2000516077 cites W1981801030 @default.
• W2000516077 cites W1989492284 @default.
• W2000516077 cites W1991113567 @default.
• W2000516077 cites W2000532998 @default.
• W2000516077 cites W2005681075 @default.
• W2000516077 cites W2006399939 @default.
• W2000516077 cites W2010132894 @default.
• W2000516077 cites W2017992852 @default.
• W2000516077 cites W2033024440 @default.
• W2000516077 cites W2045998234 @default.
• W2000516077 cites W2048418232 @default.
• W2000516077 cites W2058666998 @default.
• W2000516077 cites W2064490468 @default.
• W2000516077 cites W2065460354 @default.
• W2000516077 cites W2077204104 @default.
• W2000516077 cites W2080054233 @default.
• W2000516077 cites W2083598195 @default.
• W2000516077 cites W2096596035 @default.
• W2000516077 cites W2108418791 @default.
• W2000516077 cites W2112476383 @default.
• W2000516077 cites W2112890043 @default.
• W2000516077 cites W2120896968 @default.
• W2000516077 cites W2124496461 @default.
• W2000516077 cites W2129701817 @default.
• W2000516077 cites W2154530595 @default.
• W2000516077 cites W2168374324 @default.
• W2000516077 cites W2168832646 @default.
• W2000516077 cites W2169007976 @default.
• W2000516077 cites W2170382756 @default.
• W2000516077 cites W2170499587 @default.
• W2000516077 cites W2171450671 @default.
• W2000516077 cites W2227413268 @default.
• W2000516077 cites W2278331350 @default.
• W2000516077 cites W4241331546 @default.
• W2000516077 doi "https://doi.org/10.1137/090781292" @default.
• W2000516077 hasPublicationYear "2010" @default.
• W2000516077 type Work @default.
• W2000516077 sameAs 2000516077 @default.
• W2000516077 citedByCount "16" @default.
• W2000516077 countsByYear W20005160772012 @default.
• W2000516077 countsByYear W20005160772013 @default.
• W2000516077 countsByYear W20005160772014 @default.
• W2000516077 countsByYear W20005160772018 @default.
• W2000516077 countsByYear W20005160772019 @default.
• W2000516077 countsByYear W20005160772023 @default.
• W2000516077 crossrefType "journal-article" @default.
• W2000516077 hasAuthorship W2000516077A5020584084 @default.
• W2000516077 hasAuthorship W2000516077A5034037522 @default.
• W2000516077 hasAuthorship W2000516077A5074050033 @default.
• W2000516077 hasConcept C11413529 @default.
• W2000516077 hasConcept C115961682 @default.
• W2000516077 hasConcept C120665830 @default.
• W2000516077 hasConcept C121332964 @default.
• W2000516077 hasConcept C134306372 @default.
• W2000516077 hasConcept C135252773 @default.
• W2000516077 hasConcept C141379421 @default.
• W2000516077 hasConcept C154945302 @default.
• W2000516077 hasConcept C155175808 @default.
• W2000516077 hasConcept C163716698 @default.
• W2000516077 hasConcept C33923547 @default.
• W2000516077 hasConcept C41008148 @default.
• W2000516077 hasConcept C46141821 @default.
• W2000516077 hasConceptScore W2000516077C11413529 @default.
• W2000516077 hasConceptScore W2000516077C115961682 @default.
• W2000516077 hasConceptScore W2000516077C120665830 @default.
• W2000516077 hasConceptScore W2000516077C121332964 @default.
• W2000516077 hasConceptScore W2000516077C134306372 @default.
• W2000516077 hasConceptScore W2000516077C135252773 @default.
• W2000516077 hasConceptScore W2000516077C141379421 @default.
• W2000516077 hasConceptScore W2000516077C154945302 @default.
• W2000516077 hasConceptScore W2000516077C155175808 @default.
• W2000516077 hasConceptScore W2000516077C163716698 @default.
• W2000516077 hasConceptScore W2000516077C33923547 @default.
• W2000516077 hasConceptScore W2000516077C41008148 @default.
• W2000516077 hasConceptScore W2000516077C46141821 @default.
• W2000516077 hasIssue "8" @default.
• W2000516077 hasLocation W20005160771 @default.
• W2000516077 hasOpenAccess W2000516077 @default.
• W2000516077 hasPrimaryLocation W20005160771 @default.
• W2000516077 hasRelatedWork W1597950637 @default.
• W2000516077 hasRelatedWork W2000128178 @default.
• W2000516077 hasRelatedWork W2101428392 @default.
• W2000516077 hasRelatedWork W2113131482 @default.
• W2000516077 hasRelatedWork W2165247971 @default.
• W2000516077 hasRelatedWork W2532315310 @default.
• W2000516077 hasRelatedWork W2725829804 @default.

• next