Inverse problem in optical diffusion tomography. III. Inversion formulas and singular-value decomposition

被引：62

作者：

Markel, VA ^{[1
]}

Mital, V

Schotland, JC

机构：

[1] Washington Univ, Dept Radiol, St Louis, MO 63110 USA

[2] Washington Univ, Dept Elect Engn, St Louis, MO 63130 USA

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2003年 / 20卷 / 05期

关键词：

D O I：

10.1364/JOSAA.20.000890

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We continue our study of the inverse scattering problem for diffuse light. In particular, we derive inversion formulas for this problem that are based on the functional singular-value decomposition of the linearized forward-scattering operator in the slab, cylindrical, and spherical geometries. Computer simulations are used to illustrate our results in model systems. (C) 2003 Optical Society of America.

引用

页码：890 / 902

页数：13

共 9 条

[1] BOUNDARY-CONDITIONS FOR DIFFUSION OF LIGHT [J].

ARONSON, R .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1995, 12 (11) :2532-2539

[2] Optical tomography in medical imaging [J].

Arridge, SR .

INVERSE PROBLEMS, 1999, 15 (02) :R41-R93

[3] Inverse problem in optical diffusion tomography. II. Role of boundary conditions [J].

Markel, VA ;

Schotland, JC .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (03) :558-566

[4] Inverse scattering for the diffusion equation with general boundary conditions [J].

Markel, VA ;

Schotland, JC .

PHYSICAL REVIEW E, 2001, 64 (03) :4

[5] Inverse problem in optical diffusion tomography. I. Fourier-Laplace inversion formulas [J].

Markel, VA ;

Schotland, JC .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (06) :1336-1347

[6]

Natterer F., 1986, The Mathematics of Computerized Tomography

[7] Inverse scattering with diffusing waves [J].

Schotland, JC ;

Markel, VA .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (11) :2767-2777

[8]

P SPIE

[9]

2002, OSA TRENDS OPTICS PH, V71

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