Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging

Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar

doi:10.1088/1361-6420/aa9ae7

Cited by 13 publications

(12 citation statements)

References 38 publications

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“…Mathematically speaking, the problem corresponds to a least squares minimization problem for a non-convex functional. In our case, where we are given one-dimensional data of the form ( 6) or (7), unique reconstruction of the phase is not possible [15]. However, there exist convergent algorithms that produce satisfactory results under some assumptions on the signal, like bounded support and non-negativity constraints.…”

Section: The Inverse Problemmentioning

confidence: 98%

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Quantitative OCT reconstructions for dispersive media

Elbau¹,

Mindrinos²,

Veselka³

2019

Preprint

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We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multilayered described by a piece-wise inhomogeneous refractive index. The measurement data are from a frequency-domain OCT system and we address also the phase retrieval problem. The parameter identification problem can be formulated as an one-dimensional inverse problem. Initially, we deal with a non-dispersive medium and we derive an iterative scheme that is the core of the algorithm for the frequency-dependent parameter. The case of absorbing medium is also addressed.

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Section: The Inverse Problemmentioning

confidence: 98%

“…is also available. The main difference between the two setups is that (5) provide us with the full information of the backscattered field, amplitude and phase, which is not the case in (7), where we get phase-less data. We address later the problem of phase retrieval, meaning how to obtain (5) from (7).…”

Section: Introductionmentioning

confidence: 99%

Quantitative OCT reconstructions for dispersive media

Elbau¹,

Mindrinos²,

Veselka³

2019

Preprint

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“…These methods are so-named because the measurement involves the cross-generation of one type of wave from another [62]. Examples include PAT and Optical Coherence Tomography (OCT) [63], quasi-static elasticity imaging [64] and Acousto-Electric Tomography [65].…”

Section: A Taxonomy Of Problemsmentioning

confidence: 99%

“…Examples include PAT and Optical Coherence Tomography (OCT) [63], quasi-static elasticity imaging [64] and Acousto-Electric Tomography [65].…”

Section: (C) Synergistic Reconstructionmentioning

confidence: 99%

(An overview of) Synergistic reconstruction for multimodality/multichannel imaging methods

Arridge

Ehrhardt

Thielemans

2021

Phil. Trans. R. Soc. A.

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Imaging is omnipresent in modern society with imaging devices based on a zoo of physical principles, probing a specimen across different wavelengths, energies and time. Recent years have seen a change in the imaging landscape with more and more imaging devices combining that which previously was used separately. Motivated by these hardware developments, an ever increasing set of mathematical ideas is appearing regarding how data from different imaging modalities or channels can be synergistically combined in the image reconstruction process, exploiting structural and/or functional correlations between the multiple images. Here we review these developments, give pointers to important challenges and provide an outlook as to how the field may develop in the forthcoming years. This article is part of the theme issue ‘Synergistic tomographic image reconstruction: part 1’.

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“…The implementation of quantitative reconstruction usually includes two types. The first is incorporating PAT with other imaging modalities to quantitatively determine optical or acoustical properties, such as the combination with diffuse optical tomography (DOT) [7, 8], acousto‐optic tomography [9, 10], diffuse reflectance imaging [11] and optical coherence tomography [12], etc. The other is using q‐PAT as a direct and stand‐alone modality aiming to solve the optical inverse problem, which is more non‐trivial.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear iterative perturbation scheme with simplified spherical harmonics (SP₃) light propagation model for quantitative photoacoustic tomography

Wang

Gao

et al. 2021

Journal of Biophotonics

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When using quantitative photoacoustic tomography (q‐PAT) reconstruction to recover the optical absorption coefficients of tissue, the commonly used diffusion equation has several limitations in the case of the objects that have small geometries and high‐absorption or low‐scattering areas. Furthermore, the conventional perturbation reconstruction strategy is unsatisfactory when the target tissue containing large heterogeneous features. We herein present a modified q‐PAT implementation that employs the higher‐order photon migration model achieving the tradeoff between mathematical rigidity and computational efficiency. Besides, a nonlinear iterative method is proposed to obtain the perturbations of optical absorption considering the updating of the sensitivity matrix in calculating the fluence perturbations. Consequently, the distribution of tissue optical properties can be recovered in a robust way even if the targets with high absorption are included. The proposed approach has been validated by simulation, phantom and in vivo experiments, exhibiting promising performances in image fidelity and quantitative feasibility for practical applications.

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Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging

Cited by 13 publications

References 38 publications

Quantitative OCT reconstructions for dispersive media

Quantitative OCT reconstructions for dispersive media

(An overview of) Synergistic reconstruction for multimodality/multichannel imaging methods

Nonlinear iterative perturbation scheme with simplified spherical harmonics (SP₃) light propagation model for quantitative photoacoustic tomography

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Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging

Cited by 13 publications

References 38 publications

Quantitative OCT reconstructions for dispersive media

Quantitative OCT reconstructions for dispersive media

(An overview of) Synergistic reconstruction for multimodality/multichannel imaging methods

Nonlinear iterative perturbation scheme with simplified spherical harmonics (SP3) light propagation model for quantitative photoacoustic tomography

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Product

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Nonlinear iterative perturbation scheme with simplified spherical harmonics (SP₃) light propagation model for quantitative photoacoustic tomography