Reconstruction of diffuse photon-density wave interference in turbid media from time-resolved transmittance measurements

Lindquist, Charlotta; Pifferi, Antonio; Berg, Roger; Andersson‐Engels, Stefan; Svanberg, Sune

doi:10.1063/1.117024

Cited by 10 publications

(9 citation statements)

References 7 publications

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“…Visual analysis of a second data set, provided by ART, suggested that a similar situation existed with that data. As such, the results shown for the known phantom are those at the (30,30,30) 4659 0.7352 (20,20,20) 2109 0.7362 (15,15,15) 1098 0.7409 (10,10,15) 578 0.7294 (10,10,10) 402 0.7404 minimum error point, while those shown for the second data set were chosen to be "underregularized" by a similar order of magnitude. Of course, critical to determining the utility of the interpolation is evaluation of the error introduced into the reconstructions.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…In diffuse optical tomography (DOT), near-infrared light is introduced to the body from an array of sources on the surface and collected at a number of detectors as it exits [3,7,8,12,15,17,26,27]. The imaging problem consists of determining images of photon absorption and/or diffusion in the body from this measured photon fluence.…”

Section: Introductionmentioning

confidence: 99%

“…In this configuration, the region to be imaged is modeled as the volume contained between two parallel infinite planes. The solution volume is then a compact finite section of this infinite volume [12,15]. Sources are located along one plane, directed into the volume, while detectors are arrayed along the other plane to collect exiting light.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis and Exploitation of Matrix Structure Arising in Linearized Optical Tomographic Imaging

Hyde¹,

Kilmer²,

Brooks³

et al. 2008

SIAM J. Matrix Anal. & Appl.

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We present a novel method by which the large dense forward matrix A involved in a linear inverse diffusion problem can be decomposed into a number of sparse easily computed matrices. We begin by introducing an errorless decomposition which is applicable to a wide array of such imaging problems. Next, we incorporate interpolation into the construction of the matrices to reduce the computational complexity involved in the matrix-vector multiplications necessary to obtain an inverse solution. Error and computational complexity analysis are provided to support these developments. We then present numerical results that illustrate the gain in computational efficiency when the approximation is used in the Tikhonov regularized inverse problem, and show that the use of the approximation has virtually no negative effect on the quality of the reconstructed images. Finally, we discuss applicability to other imaging problems.

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Section: Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis and Exploitation of Matrix Structure Arising in Linearized Optical Tomographic Imaging

Hyde¹,

Kilmer²,

Brooks³

et al. 2008

SIAM J. Matrix Anal. & Appl.

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“…The first is based on the use of dual-interfering sources 2,3 . In this configuration, two rfmodulated out-of-phase sources with the same strength illuminate the media.…”

Section: Introductionmentioning

confidence: 99%

Interfering diffusive photon-density waves with an absorbing-fluorescent inhomogeneity

Intes¹,

Chance²,

Holboke³

et al. 2001

Opt. Express

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This work reports an investigation of the fluorescent field re-emitted by an object embedded in a highly scattering media illuminated by two-interfering sources. Simulations in the frequency domain with a finite difference method solving the diffusion equation were performed. The media considered had features typical of a soft-compressed breast. An absorbing-fluorescent inhomogeneity was embedded in the center of the slab. A qualitative study of the re-emitted field was achieved. The re-emitted field was found to possess unique features characteristic of the two-interfering sources excitation, i.e. null intensity when the object was between the two sources and a 180 degrees transition crossing this position. Those features, when performing a scan of the two sources, permitted accurate localization of the inhomogeneity. Moreover, even when the detector was not placed on the mid-plane of the two sources, the re-emitted field still exhibited the interfering characteristic pattern, which was not seen at the excitation wavelength. Thus, for such configurations, the re-emitted field still possessed the specific sensitivity of phased array emission conversely to the excitation wavelength.

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“…In Ref. (15,16), it is shown that destructively interfering diffuse optical wave fields are used to detect light absorptive inhomogeneities. Similar to the principle of a Wheatstone bridge using a true zero, two modulated light sources of the same intensity but of opposing phases destructively interfere and create a line of null oscillations in between them.…”

Section: Introductionmentioning

confidence: 99%

Thermal wave interference with high-power VCSEL arrays for locating vertically oriented subsurface defects

Thiel

Kreutzbruck

Studemund

et al. 2018

AIP Conference Proceedings

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Reconstruction of diffuse photon-density wave interference in turbid media from time-resolved transmittance measurements

Cited by 10 publications

References 7 publications

Analysis and Exploitation of Matrix Structure Arising in Linearized Optical Tomographic Imaging

Analysis and Exploitation of Matrix Structure Arising in Linearized Optical Tomographic Imaging

Interfering diffusive photon-density waves with an absorbing-fluorescent inhomogeneity

Thermal wave interference with high-power VCSEL arrays for locating vertically oriented subsurface defects

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