Nonuniqueness in diffusion-based optical tomography

被引：262

作者：

Arridge, SR

Lionheart, WRB

机构：

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

[2] Oxford Brookes Univ, Sch Comp & Math Sci, Oxford OX3 0BP, England

来源：

OPTICS LETTERS | 1998年 / 23卷 / 11期

关键词：

D O I：

10.1364/OL.23.000882

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A condition on nonuniqueness in optical tomography is stated. The main result applies to steady-state (dc) diffusion-based optical tomography, wherein we demonstrate that simultaneous unique recovery of diffusion and absorption coefficients cannot be achieved. A specific example of two images that give identical de data is presented. If the refractive index is considered an unknown, then nonuniqueness also occurs in frequency-domain and time-domain optical tomography, if the underlying model of the diffusion approximation is employed. (C) 1998 Optical Society of America.

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页码：882 / 884

页数：3

相关论文

共 12 条

[1] A FINITE-ELEMENT APPROACH FOR MODELING PHOTON TRANSPORT IN TISSUE [J].

ARRIDGE, SR ;

SCHWEIGER, M ;

HIRAOKA, M ;

DELPY, DT .

MEDICAL PHYSICS, 1993, 20 (02) :299-309

[2] Optical imaging in medicine .2. Modelling and reconstruction [J].

Arridge, SR ;

Hebden, JC .

PHYSICS IN MEDICINE AND BIOLOGY, 1997, 42 (05) :841-853

[3]

ARRIDGE SR, 1995, P SOC PHOTO-OPT INS, V2389, P378

[4] Optical imaging in medicine .1. Experimental techniques [J].

Hebden, JC ;

Arridge, SR ;

Delpy, DT .

PHYSICS IN MEDICINE AND BIOLOGY, 1997, 42 (05) :825-840

[5] Existence of invisible nonscattering objects and nonradiating sources [J].

Hoenders, BJ .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (01) :262-266

[6] UNIQUENESS AND STABILITY IN MULTIDIMENSIONAL INVERSE PROBLEMS [J].

ISAKOV, V .

INVERSE PROBLEMS, 1993, 9 (06) :579-621

[7]

ISAKOV V, 1998, INVERSE PROBLEMS PAR

[8] Optical image reconstruction using frequency-domain data: Simulations and experiments [J].

Jiang, HB ;

Paulsen, KD ;

Osterberg, UL ;

Pogue, BW ;

Patterson, MS .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1996, 13 (02) :253-266

[9] Optical image reconstruction using DC data: Simulations and experiments [J].

Jiang, HB ;

Paulsen, KD ;

Osterberg, UL .

PHYSICS IN MEDICINE AND BIOLOGY, 1996, 41 (08) :1483-1498

[10] Perturbation theory for diffuse light transport in complex biological tissues [J].

Ostermeyer, MR ;

Jacques, SL .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (01) :255-261