Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

A fundamental limitation of linearized algorithms for diffuse optical tomography

Open Access Open Access

Abstract

Diffuse Optical Tomography is rapidly developing as a new imaging modality for characterizing the spatially varying optical properties of media which strongly scatter light (e.g. tissue). Numerous imaging algorithms exist, and more are being developed. Many of these algorithms rely on assumptions which linearize the relationship between the optical contrast and the perturbed signal. We show that this linear approximation makes quantitative imaging of spatially varying optical properties impossible. The explanation for this result is presented and the implication for Diffuse Optical Tomography is discussed.

©1997 Optical Society of America

Full Article  |  PDF Article
More Like This
Detection and characterization of optical inhomogeneities with diffuse photon density waves: a signal-to-noise analysis

D. A. Boas, M. A. O’Leary, B. Chance, and A. G. Yodh
Appl. Opt. 36(1) 75-92 (1997)

Diffraction tomography for biochemical imaging with diffuse-photon density waves

X. D. Li, T. Durduran, A. G. Yodh, B. Chance, and D. N. Pattanayak
Opt. Lett. 22(8) 573-575 (1997)

Simultaneous imaging and optode calibration with diffuse optical tomography

David A. Boas, Thomas Gaudette, and Simon R. Arridge
Opt. Express 8(5) 263-270 (2001)

Supplementary Material (1)

Media 1: HTML (2 KB)     

Cited By

Optica participates in Crossref's Cited-By Linking service. Citing articles from Optica Publishing Group journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1 The geometry used for calculating the scattered DPDW (see text).
Fig. 2
Fig. 2 Comparison of the first order Born approximation with the exact solution for a 1 cm diameter absorbing object with different absorption coefficients.
Fig. 3
Fig. 3 Comparison of the first order Born approximation with the exact solution for an absorbing object with an absorption coefficient of 0.3 cm-1 and different radii.
Fig. 4
Fig. 4 Comparison of the Rytov approximation with the exact solution for a 1 cm diameter absorbing object with different absorption coefficients.
Fig. 5
Fig. 5 Comparison of the Rytov approximation with the exact solution for an absorbing object with and absorption coefficient of 0.3 cm-1 and different radii.
Fig. 6
Fig. 6 This is a view of the interactive applet for browsing the four dimensional data set. The data here is for an absorber with a 0.6 cm diameter. Click on the figure to start the applet. [Media 1]

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

( D 2 + v μ a + t ) Φ ( r , t ) = vS ( r , t ) .
Φ l = 0 ( r s , r d ) = v S A C exp ( i k r s ) 4 π D r s exp ( i k r d ) 4 π r d [ 4 π a 3 3 ] [ v δ μ a D ]
Φ l = 1 ( r s , r d ) = v S A C exp ( i k r s ) 4 π D r s exp ( i k r d ) 4 π r d [ i k 1 r s ] [ i k 1 r d ] [ 4 π a 3 D ] [ 3 cos θ δ μ s ' 3 μ s ' + 2 δ μ s ' ]
Φ l = 2 ( r s , r d ) = v S A C exp ( i k r s ) 4 π D r s exp ( i k r d ) 4 π r d [ k 2 + 3 ik r s 3 r s 2 ] [ k 2 + 3 ik r d 3 r d 2 ]
[ 3 cos 2 θ 1 ] [ 4 π a 5 45 ] [ δ μ s ' 5 μ s ' + 3 δ μ ' ]
Φ s c ( r s , r d ) = Φ inc ( r s , r d ) L ( r ) G ( r s , r d ) d r .
Φ s c ( r s , r d ) = 1 Φ inc ( r s , r d ) Φ inc ( r s , r d ) L ( r ) G ( r s , r d ) d r .
Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved