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Titolo: Robust reconstruction of a physical parameter distribution using fewer field measurements of another physical variable: resolution of the problem of determination of conductivity
Autore: Sumi, C; Ko, H;
 Indirizzi:
 Sophia Univ, Fac Sci & Technol, Dept Elect & Elect Engn, Tokyo 1028554, Japan Sophia Univ Tokyo Japan 1028554 Elect & Elect Engn, Tokyo 1028554, Japan
 Titolo Testata:
 MEASUREMENT SCIENCE & TECHNOLOGY
fascicolo: 5,
volume: 12,
anno: 2001,
pagine: 589  596
 SICI:
 09570233(200105)12:5<589:RROAPP>2.0.ZU;21
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 IMAGERECONSTRUCTION; INVERSE PROBLEM; REGULARIZATION; TOMOGRAPHY; ALGORITHM; SYSTEM;
 Keywords:
 differentialtype inverse problem; globally relative physical parameter distribution; fewer field measurements; configuration; reference regions; sources; firstorder partial differential equation; characteristic curve; finitedifference method; mollification method; regularization method; conductivity;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Engineering, Computing & Technology
 Citazioni:
 32
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Sumi, C Sophia Univ, Fac Sci & Technol, Dept Elect & Elect Engn, Tokyo 1028554, Japan Sophia Univ Tokyo Japan 1028554 Elect Engn, Tokyo 1028554, Japan



 Citazione:
 C. Sumi e H. Ko, "Robust reconstruction of a physical parameter distribution using fewer field measurements of another physical variable: resolution of the problem of determination of conductivity", MEAS SCI T, 12(5), 2001, pp. 589596
Abstract
Under the assumption that no sources exist in a region of interest, we previously proposed a differentialtype inverse problem in which the referencevalue of a physical parameter given at an arbitrary point can be used in conjunction with a sufficient number of independent fields of another physical variable measured in that region such that the global spatial distribution of relative values can be determined. Here, we consider a conductivity determination problem in which current density field data are used to show that suitable configurations of reference regions and externally situated current sources allow the required number of independent field measurements for determining a unique conductivity distribution to be reduced. Although improper configurations of the previously developed numerically based implicitintegration approach are used to reconstruct the globally relative conductivity distribution, results indicate that an acceptable unique reconstruction can still be obtained even for unfortunate cases in which fewer field measurements are available. This advantage is expected to significantly increase the types of objects whose distributions can be effectively reconstructed using this differentialtype inverse problem.
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Documento generato il 19/01/20 alle ore 20:24:19