扩散层析成像中图像重建的两种数值方法

S. Gutman, M. Klibanov, Hua Song
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摘要

我们考虑扩散方程(1)的逆散射问题(ISP)。ISP包括确定给定函数u(x,t)|∂-Ω = φ(x,t)中的系数D(x)或a(x),其中∂Ω是有界域Ω∧∈n的边界。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Two Numerical Methods of Image Reconstruction in Diffusion Tomography
We consider Inverse Scattering Problem (ISP) for the Diffusion Equation (1) The ISP consists in determination of either of coefficients D(x) or a(x) given function u(x,t)|∂-Ω = φ(x,t), where ∂ Ω is a boundary of a bounded domain Ω ⊂ ℝn.
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