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Titolo:
Convexity for the diffuse tomography model
Autore:
Svaiter, BF; Zubelli, JP;
Indirizzi:
Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil Inst Matematica Pura & Aplicada Rio De Janeiro Brazil BR-22460320 BCazil
Titolo Testata:
INVERSE PROBLEMS
fascicolo: 4, volume: 17, anno: 2001,
pagine: 729 - 738
SICI:
0266-5611(200108)17:4<729:CFTDTM>2.0.ZU;2-L
Fonte:
ISI
Lingua:
ENG
Soggetto:
ROW-ACTION METHOD; BLOCK-ITERATIVE METHODS; IMAGE-RECONSTRUCTION; FEASIBILITY PROBLEMS; PROJECTION; ALGORITHMS; RADIATION;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
33
Recensione:
Indirizzi per estratti:
Indirizzo: Zubelli, JP Inst Matematica Pura & Aplicada, Estrada Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil Inst Matematica Pura & Aplicada Estrada Dona Castorina 110 Rio De Janeiro Brazil BR-22460320 BC
Citazione:
B.F. Svaiter e J.P. Zubelli, "Convexity for the diffuse tomography model", INVERSE PR, 17(4), 2001, pp. 729-738

Abstract

The diffuse tomography model consists of a discrete model for the migration of particles inside a medium whereby such particles move according to a two-step Markov process. The underlying variables that determine the medium at a given pixel are the particle survival probability and the turning probabilities. The latter depend on the angle between the incoming and outgoingdirections. The external measurements predicted by this model turn out to be highly nonlinear functions of the medium parameters. This makes the inverse problem associated with this model very complex and computer intensive. We show that after a suitable change of variables the external measurements for the diffuse tomography model become convex functions defined on a convex domain. We also discuss some of the algorithmic implications of such a convexity result in designing efficient solution methods for the inverse problem.

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Documento generato il 26/01/20 alle ore 01:15:48