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- W2057200680 abstract "ABSTRACT We prent a fundamentally novel mathematical algorithm for reconstruction of small inclusion hidden in thediffuse background. This is a numerical method with an a priori guaranteed global convergence. Our theory,which we call Carleman's Weight Method aur that this technique should provide images with the fint possible resolution. Work on numerical testing is in progress. We also provide a brief historical survey for inverse versusforward problems. 1 Introduction. There is a recent interest in mathematical methods of image reconstruction of small inclusions hidden in the diffuse background, c.f. [1, 2, 5, 6, 15, and 16]. Lasers are sources ofradiation in this case. Those problems are calledDiffusion Tomography (DT). In particular, it was shown in [5, 6, and 15] that imagss can be obtained indeed from the experimental data. DT leads inevitably to n-Dimensional (ii= 2,3) Inverse Scattering Problem (ISP) either for the transport or forthe diffusion, or for the telegrpah equation. While a number of numerical methods has been developed for nD JSPs," @default.
- W2057200680 created "2016-06-24" @default.
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- W2057200680 date "1995-10-09" @default.
- W2057200680 modified "2023-09-23" @default.
- W2057200680 title "<title>Globally convergent numerical method in diffusion tomography</title>" @default.
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- W2057200680 doi "https://doi.org/10.1117/12.224151" @default.
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