Dynamically adaptive mesh refinement technique for image reconstruction in optical tomography

Soloviev, Vadim Y.; Krasnosselskaia, Lada V.

doi:10.1364/ao.45.002828

Cited by 17 publications

(15 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…29 for an overview of the different models͒. Although general models such as the telegraph equation 30 or the radiative transfer equation 31 can be used, the light propagation in FDOT is classically assumed to follow the diffusion equation. Within this framework, the photon density ͒ is the source term.…”

Section: Iia1 Light Propagationmentioning

confidence: 99%

A time‐domain wavelet‐based approach for fluorescence diffuse optical tomography

et al. 2010

View full text Add to dashboard Cite

Purpose: In the context of fluorescence diffuse optical tomography, determining the optimal way to exploit the time-resolved information has been receiving much attention and different features of the time-resolved signals have been introduced. In this article, the authors revisit and generalize the notion of feature, considering the projection of the measurements onto some basis functions. This leads the authors to propose a novel approach based on the wavelet transform of the measurements. Methods: A comparative study between the reconstructions obtained from the proposed waveletbased approach and the reconstructions obtained from the reference temporal moments is provided. An inhomogeneous cubic medium is considered. Reconstructions are performed from synthetic measurements assuming Poisson noise statistics. In order to provide fairly comparable reconstructions, the reconstruction scheme is associated with a particular procedure for selecting the regularization parameter. Results: In the noise-free case, the reconstruction quality is shown to be mainly driven by the number of selected features. In the presence of noise, however, the reconstruction quality depends on the type of the features. In this case, the wavelet approach is shown to outperform the moment approach. While the optimal time-resolved reconstruction quality, which is obtained considering the whole set of time samples, is recovered using only eight wavelet functions, it cannot be attained using moments. It is finally observed that the time-resolved information is of limited utility, in terms of reconstruction, when the maximum number of detected photons is lower than 10 5 . Conclusions: The wavelet approach allows for better exploiting the time-resolved information, especially when the number of detected photons is low. However, when the number of detected photons decreases below a certain threshold, the time-resolved information itself is shown to be of limited utility.

show abstract

Section: Iia1 Light Propagationmentioning

confidence: 99%

A time‐domain wavelet‐based approach for fluorescence diffuse optical tomography

et al. 2010

View full text Add to dashboard Cite

show abstract

“…The system of Eq. (26) is further discretized and solved numerically in the Fourier domain on the adaptive Cartesian grid [15,24] by use of the conjugate gradient method with early termination of the iterative process, which has a regularization effect. The number of iterations is found empirically from the discrepancy principle [25].…”

Section: Inverse Problem: the Time Domain Versus The Fourier Domainmentioning

confidence: 99%

Fluorescence lifetime imaging by using time-gated data acquisition

et al. 2007

Self Cite

View full text Add to dashboard Cite

The use of the time gating technique for lifetime reconstruction in the Fourier domain is a novel technique. Time gating provides sufficient data points in the time domain for reliable application of the Fourier transform, which is essential for the time deconvolution of the system of the integral equations employed in the reconstruction. The Fourier domain telegraph equation is employed to model the light transport, which allows a sufficiently broad interval of frequencies to be covered. Reconstructed images contain enough information needed for recovering the lifetime distribution in a sample for any given frequency within the megahertz-gigahertz band. The use of this technique is essential for recovering time-dependent information in fluorescence imaging. This technique was applied in reconstruction of the lifetime distribution of four tubes filled with Rhodamine 6G embedded inside a highly scattering slab. Relatively accurate fluorescence lifetime reconstruction demonstrates the effectiveness and the potential of the proposed technique.

show abstract

“…The solution of this system is used for iterative reconstruction of optical and fluorescent parameters. Equations are solved on a Cartesian mesh by utilizing the Finite Volume numerical scheme [25,26] and the ray tracing technique [27]. Although in our experimental setup relative positions of the laser source and the CCD camera are fixed, while the object under study is rotated, computationally we rotate source positions and the CCD camera in the opposite direction.…”

Section: B Inverse Problem: Variational Frameworkmentioning

confidence: 99%

“…In the reconstruction algorithm Eqs. (23)(24)(25)(26) are replaced with two Helmholtz equations for adjoint average integrated intensities, ψ and ψ′, [19] and all terms containing I, I′, J and J′ are dropped in Eqs. (28)(29)(30)(31).…”

Section: A the Telegraph Equation Approximationmentioning

confidence: 99%

Förster resonance energy transfer imaging in vivo with approximated radiative transfer equation

Soloviev¹,

McGinty²,

Stuckey³

et al. 2011

Appl. Opt.

Self Cite

View full text Add to dashboard Cite

We describe a new light transport model that we have applied to 3-D image reconstruction of in vivo fluorescence lifetime tomography data applied to read out Förster Resonance Energy Transfer in mice. The model is an approximation to the Radiative Transfer Equation and combines light diffusion and rays optics. This approximation is well adopted to wide-field time-gated intensity based data acquisition. Reconstructed image data are presented and compared with results obtained by using the Telegraph Equation approximation. The new approach provides improved recovery of absorption and scattering parameters while returning similar values for the fluorescence parameters.

show abstract

Dynamically adaptive mesh refinement technique for image reconstruction in optical tomography

Cited by 17 publications

References 16 publications

A time‐domain wavelet‐based approach for fluorescence diffuse optical tomography

A time‐domain wavelet‐based approach for fluorescence diffuse optical tomography

Fluorescence lifetime imaging by using time-gated data acquisition

Förster resonance energy transfer imaging in vivo with approximated radiative transfer equation

Contact Info

Product

Resources

About