Quantitative photoacoustic imaging in radiative transport regime

Abstract

The objective of quantitative photoacoustic tomography (QPAT) is to reconstruct optical and thermodynamic properties of heterogeneous media from data of absorbed energy distribution inside the media. There have been extensive theoretical and computational studies on the inverse problem in QPAT, however, mostly in the diffusive regime. We present in this work some numerical reconstruction algorithms for multi-source QPAT in the radiative transport regime with energy data collected at either single or multiple wavelengths. We show that when the medium to be probed is non-scattering, explicit reconstruction schemes can be derived to reconstruct the absorption and the Gruneisen coefficients. When data at multiple wavelengths are utilized, we can reconstruct simultaneously the absorption, scattering and Gruneisen coefficients. We show by numerical simulations that the reconstructions are stable.

40 pages, 13 figures

References in corpus (3)

• Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm
• A Reconstruction Procedure for Thermoacoustic Tomography in the Case of Limited Boundary Data
• A Uniqueness Theorem for Thermoacoustic Tomography in the Case of Limited Boundary Data

Cited by in corpus (18)

• Single-stage reconstruction algorithm for quantitative photoacoustic tomography
• A one-step reconstruction algorithm for quantitative photoacoustic imaging
• Perturbation Monte Carlo Method for Quantitative Photoacoustic Tomography
• Applications of Kinetic Tools to Inverse Transport Problems
• Inverse transport problems in quantitative PAT for molecular imaging
• Quantitative Photoacoustic Imaging of Two-photon Absorption
• Stochastic Proximal Gradient Algorithms for Multi-Source Quantitative Photoacoustic Tomography
• Inverse transport calculations in optical imaging with subspace optimization algorithms
• A Hybrid Reconstruction Approach for Absorption Coefficient by Fluorescence Photoacoustic Tomography
• On Iterative Algorithms for Quantitative Photoacoustic Tomography in the Radiative Transport Regime
• Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation
• Unique determination of absorption coefficients in a semilinear transport equation
• A global stability estimate for the photo-acoustic inverse problem in layered media
• Characterizing impacts of model uncertainties in quantitative photoacoustics
• Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography
• Image reconstruction in quantitative photoacoustic tomography with the simplified $P_2$ approximation
• Nonlinear quantitative photoacoustic tomography with two-photon absorption
• Efficient inclusion of total variation type priors in quantitative photoacoustic tomography