Optical tomography: forward and inverse problems

被引：488

作者：

Arridge, Simon R. ^{[1
]}

Schotland, John C. ^{[2
,3
]}

机构：

[1] UCL, Dept Comp Sci, London WC1E 6BT, England

[2] Univ Penn, Dept Bioengn, Philadelphia, PA 19104 USA

[3] Univ Penn, Grad Grp Appl Math & Computat Sci, Philadelphia, PA 19104 USA

来源：

INVERSE PROBLEMS | 2009年 / 25卷 / 12期

基金：

英国惠康基金; 英国工程与自然科学研究理事会;

关键词：

PIECEWISE-CONSTANT COEFFICIENTS; RADIATIVE-TRANSFER EQUATION; ADAPTIVE MESH GENERATION; FINITE-ELEMENT MODEL; LIGHT-PROPAGATION; IMAGE-RECONSTRUCTION; DIFFUSION TOMOGRAPHY; PHOTON MIGRATION; FREQUENCY-DOMAIN; DISCRETIZATION ERROR;

D O I：

10.1088/0266-5611/25/12/123010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is a review of recent mathematical and computational advances in optical tomography. We discuss the physical foundations of forward models for light propagation on microscopic, mesoscopic and macroscopic scales. We also consider direct and numerical approaches to the inverse problems that arise at each of these scales. Finally, we outline future directions and open problems in the field.

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页数：59

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