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Dynamic Photoacoustic Computed Tomography (PACT) is an important imaging technique for monitoring physiological processes, capable of providing high-contrast images of optical absorption at much greater depths than traditional optical…

Image and Video Processing · Electrical Eng. & Systems 2025-06-05 Youshen Xiao , Yiling Shi , Ruixi Sun , Hongjiang Wei , Fei Gao , Yuyao Zhang

We investigate resolution in photoacoustic tomography (PAT). Using Shannon theory, we investigate the theoretical resolution limit of sparse view PAT theoretically, and empirically demonstrate that all reconstruction methods used exceed…

Numerical Analysis · Mathematics 2023-10-17 Markus Haltmeier , Daniel Obmann , Karoline Felbermayer , Florian Hinterleitner , Peter Burgholzer

Ultrasound modulated optical tomography, also called acousto-optics tomography, is a hybrid imaging modality that aims to combine the high contrast of optical waves with the high resolution of ultrasound. We follow the model of the…

Analysis of PDEs · Mathematics 2015-06-15 Guillaume Bal , Shari Moskow

We discuss a quantum mechanical indirect measurement method to recover a position dependent Hamilton matrix from time evolution of coherent quantum mechanical states through an object. A mathematical formulation of this inverse problem…

Mathematical Physics · Physics 2016-06-21 Joonas Ilmavirta

Photoacoustic imaging is an emerging imaging modality that is based upon the photoacoustic effect. In photoacoustic tomography (PAT), the induced acoustic pressure waves are measured by an array of detectors and used to reconstruct an image…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Steven Guan , Amir Khan , Siddhartha Sikdar , Parag V. Chitnis

This paper surveys inverse problems arising in several coupled-physics imaging modalities for both medical and geophysical purposes. These include Photo-acoustic Tomography (PAT), Thermo-acoustic Tomography (TAT), Electro-Seismic…

Analysis of PDEs · Mathematics 2016-08-12 Ilker Kocyigit , Ru-Yu Lai , Lingyun Qiu , Yang Yang , Ting Zhou

In this paper, we propose a hybrid method to reconstruct the absorption coefficient by fluorescence photoacoustic tomography (FPAT), which combines a squeeze iterative method (SIM) and a nonlinear optimization method. The SIM is to use two…

Numerical Analysis · Mathematics 2019-01-30 Chao Wang , Tie Zhou

We consider image reconstruction in full-field photoacoustic tomography, where 2D projections of the full 3D acoustic pressure distribution at a given time T>0 are collected. We discuss existing results on the stability and uniqueness of…

Numerical Analysis · Mathematics 2024-12-20 Markus Haltmeier , Gerhard Zangerl , Robert Nuster , Linh V. Nguyen

We consider the inverse problem of recovering the optical properties of a highly-scattering medium from acousto-optic measurements. Using such measurements, we show that the scattering and absorption coefficients of the radiative transport…

Analysis of PDEs · Mathematics 2016-09-27 Francis J Chung , John C Schotland

While in standard photoacoustic imaging the propagation of sound waves is modeled by the standard wave equation, our approach is based on a generalized wave equation with variable sound speed and material density, respectively. In this…

Analysis of PDEs · Mathematics 2018-04-18 Alexander Beigl , Peter Elbau , Kamran Sadiq , Otmar Scherzer

Photoacoustic tomography is a hybrid imaging technique that combines high optical tissue contrast with high ultrasound resolution. Direct reconstruction methods such as filtered backprojection, time reversal and least squares suffer from…

The goal of quantitative photoacoustic tomography is to determine optical and acoustical material properties from initial pressure maps as obtained, for instance, from photoacoustic imaging. The most relevant parameters are absorption,…

Analysis of PDEs · Mathematics 2015-09-21 Wolf Naetar , Otmar Scherzer

Photoacoustic computed tomography (PACT) combines the optical contrast of optical imaging and the penetrability of sonography. In this work, we develop a novel PACT system to provide real-time imaging, which is achieved by a 120-elements…

Image and Video Processing · Electrical Eng. & Systems 2021-05-10 Hengrong Lan , Daohuai Jiang , Feng Gao , Fei Gao

In this article, we consider the inverse problem of determining spatially heterogeneous absorption and diffusion coefficients from a single measurement of the absorbed energy (in the steady-state diffusion approximation of light transfer).…

Analysis of PDEs · Mathematics 2015-10-09 Elena Beretta , Monika Muszkieta , Wolf Naetar , Otmar Scherzer

Photoacoustic (PA) computed tomography (PACT) shows great potentials in various preclinical and clinical applications. A great number of measurements are the premise that obtains a high-quality image, which implies a low imaging rate or a…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Hengrong Lan , Juze Zhang , Changchun Yang , Fei Gao

This paper investigates photoacoustic tomography with two spatially varying acoustic parameters, the compressibility and the density. We consider the reconstruction of the absorption density parameter (imaging parameter of Photoacoustics)…

Optimization and Control · Mathematics 2016-01-05 Zakaria Belhachmi , Thomas Glatz , Otmar Scherzer

We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

Analysis of PDEs · Mathematics 2018-08-01 Ngoc Do , Leonid Kunyansky

The stochastic differential and integral equations describing the system of particles weakly interacting among themselves which are absorbed and scattered by particles of a medium are considered. The time-dependent transport equation with…

Mathematical Physics · Physics 2010-03-15 Igor Kharin

The development of fast and accurate image reconstruction algorithms is a central aspect of computed tomography. In this paper, we investigate this issue for the sparse data problem in photoacoustic tomography (PAT). We develop a direct and…

Computer Vision and Pattern Recognition · Computer Science 2018-08-31 Stephan Antholzer , Markus Haltmeier , Johannes Schwab

In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this…

Analysis of PDEs · Mathematics 2019-10-14 Francis J. Chung , Jeremy G. Hoskins , John C. Schotland
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