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This paper aims to mathematically advance the field of quantitative thermo-acoustic imaging. Given several electromagnetic data sets, we establish for the first time an analytical formula for reconstructing the absorption coefficient from…

Analysis of PDEs · Mathematics 2014-03-25 Habib Ammari , Josselin Garnier , Wenjia Jing , Loc Nguyen

Curvelet frame is of special significance for photoacoustic tomography (PAT) due to its sparsifying and microlocalisation properties. We derive a one-to-one map between wavefront directions in image and data spaces in PAT which suggests…

Computer Vision and Pattern Recognition · Computer Science 2021-08-09 Bolin Pan , Simon R. Arridge , Felix Lucka , Ben T. Cox , Nam Huynh , Paul C. Beard , Edward Z. Zhang , Marta M. Betcke

Photoacoustic (PA) computed tomography (PACT) reconstructs the initial pressure distribution from raw PA signals. The standard reconstruction of medical image could cause the artifacts due to interferences or ill-posed setup. Recently, deep…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Hengrong Lan , Changchun Yang , Fei Gao

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 photoacoustic tomography (PAT), the computation of the initial pressure distribution within an object from its time-dependent boundary measurements over time is considered. This problem can be approached from two well-established points…

Numerical Analysis · Mathematics 2025-07-04 Jaakko Kultima , Ronny Ramlau , Teemu Sahlström , Tanja Tarvainen

In this paper, we study the photoacoustic tomography problem for which we seek to recover both the initial state of the pressure field and the wave speed of the medium from the knowledge of a single boundary measurement. The goal is to…

Analysis of PDEs · Mathematics 2020-07-01 Sebastian Acosta

Photoacoustic computed tomography (PACT) is a hybrid imaging modality, which combines the high optical contrast of pure optical imaging and the high penetration depth of ultrasound imaging. However, photoacoustic image dataset with good…

Medical Physics · Physics 2022-05-24 Tengbo Lyu , Changchun Yang , Jiadong Zhang , Shanshan Guo , Feng Gao , Fei Gao

We study the inverse source problem in photoacoustic tomography (PAT) for mixed data, which denote a weighted linear combination of the acoustic pressure and its normal derivative on an observation surface. We consider in particular the…

Analysis of PDEs · Mathematics 2022-07-06 Florian Dreier , Markus Haltmeier

Photoacoustic (PA) imaging technology combines the advantages of optical imaging and ultrasound imaging, showing great potential in biomedical applications. Many preclinical studies and clinical applications urgently require fast,…

Image and Video Processing · Electrical Eng. & Systems 2024-08-13 Yuwei Zheng , Zijian Gao , Yuting Shen , Jiadong Zhang , Daohuai Jiang , Fengyu Liu , Feng Gao , Fei Gao

Image reconstruction in photoacoustic tomography relies on an accurate knowledge of the speed of sound in the target. However, the speed of sound distribution is not generally known, which may result in artefacts in the reconstructed…

Medical Physics · Physics 2025-11-06 Miika Suhonen , Felix Lucka , Aki Pulkkinen , Simon Arridge , Ben Cox , Tanja Tarvainen

Current 3D photoacoustic tomography (PAT) systems offer either high image quality or high frame rates but are not able to deliver high spatial and temporal resolution simultaneously, which limits their ability to image dynamic processes in…

Numerical Analysis · Mathematics 2016-12-21 Simon Arridge , Paul Beard , Marta Betcke , Ben Cox , Nam Huynh , Felix Lucka , Olumide Ogunlade , Edward Zhang

Photoacoustic tomography (PAT) offers high optical contrast with acoustic imaging depth, making it essential for biomedical applications. While many all-optical systems have been developed to address limitations of ultrasound transducers,…

Optics · Physics 2024-10-11 Taeil Yoon , Hakseok Ko , Jeongmyo Im , Euiheon Chung , Wonshik Choi , Byeong Ha Lee

A framework for reconstruction of optical diffusion and absorption coefficients in quantitative photoacoustic tomography is presented. This framework is based on a Tikhonov-type functional with a regularization term promoting sparsity of…

Optimization and Control · Mathematics 2024-02-01 Anwesa Dey , Alfio Borzi , Souvik Roy

To obtain the initial pressure from the collected data on a planar sensor arrangement in Photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

Numerical Analysis · Mathematics 2015-01-14 Julian Schmid , Thomas Glatz , Behrooz Zabihian , Mengyang Liu , Wolfgang Drexler , Otmar Scherzer

The development of efficient and accurate reconstruction methods is an important aspect of tomographic imaging. In this article, we address this issue for photoacoustic tomography. To this aim, we use models for acoustic wave propagation…

Numerical Analysis · Mathematics 2017-11-22 Markus Haltmeier , Richard Kowar , Linh V. Nguyen

Optoacoustic tomography (OAT), also known as photoacoustic tomography, is a rapidly emerging hybrid imaging technique that possesses great potential for a wide range of biomedical imaging applications. In OAT, a laser is employed to…

Medical Physics · Physics 2016-12-21 Yang Lou , Kun Wang , Alexander. A. Oraevsky , Mark. A. Anastasio

We present a new nonlinear optimization approach for the sparse reconstruction of single-photon absorption and two-photon absorption coefficients in photoacoustic tomography (PAT). This framework comprises of minimizing an objective…

Optimization and Control · Mathematics 2020-06-30 Madhu Gupta , Rohit Kumar Mishra , Souvik Roy

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…

Purpose: Optoacoustic tomography (OAT) is inherently a three-dimensional (3D) inverse problem. However, most studies of OAT image reconstruction still employ two-dimensional (2D) imaging models. One important reason is because 3D image…

Medical Physics · Physics 2013-04-09 Kun Wang , Chao Huang , Yu-Jiun Kao , Cheng-Ying Chou , Alexander A. Oraevsky , Mark A. Anastasio

A central task in medical imaging is the reconstruction of an image or function from data collected by medical devices (e.g., CT, MRI, and PET scanners). We provide quantum algorithms for image reconstruction with exponential speedup over…

Quantum Physics · Physics 2020-04-27 Bobak Toussi Kiani , Agnes Villanyi , Seth Lloyd