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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:
0957-0233(200105)12:5<589:RROAPP>2.0.ZU;2-1
Fonte:
ISI
Lingua:
ENG
Soggetto:
IMAGE-RECONSTRUCTION; INVERSE PROBLEM; REGULARIZATION; TOMOGRAPHY; ALGORITHM; SYSTEM;
Keywords:
differential-type inverse problem; globally relative physical parameter distribution; fewer field measurements; configuration; reference regions; sources; first-order partial differential equation; characteristic curve; finite-difference 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. 589-596

Abstract

Under the assumption that no sources exist in a region of interest, we previously proposed a differential-type 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 implicit-integration 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 differential-type inverse problem.

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Documento generato il 19/01/20 alle ore 20:24:19