X-RAY TOMOGRAPHY IN SCATTERING MEDIA

Citation
Vs. Antyufeev et An. Bondarenko, X-RAY TOMOGRAPHY IN SCATTERING MEDIA, SIAM journal on applied mathematics, 56(2), 1996, pp. 573-587
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00361399
Volume
56
Issue
2
Year of publication
1996
Pages
573 - 587
Database
ISI
SICI code
0036-1399(1996)56:2<573:XTISM>2.0.ZU;2-Q
Abstract
In this paper we treat the problem of tomography of a medium with a hi gh scattering level. A mathematical approach has been developed for an investigation of the radiation field. Based on these results a specia l source-detectors configuration is proposed. This offers a separation of the intensity of nonscattered and single-scattered radiation from the intensity of the total flux. The conventional Radon transform proc edure can be applied to the data processed that way to reconstruct the extinction coefficient distribution. Then the value of the scattering coefficient at any given point can be found separately by solving a s ystem of simple equations. Finally, we present some numerical results to demonstrate a numerical implementation of the method and the distor tion of the body image caused by scattering interference.