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Photoacoustic computed tomography (PACT) is a non-invasive imaging modality, similar to ultrasound, with wide-ranging medical applications. Conventional PACT images are degraded by wavefront distortion caused by the heterogeneous speed of…

Image and Video Processing · Electrical Eng. & Systems 2025-08-05 Tianao Li , Manxiu Cui , Cheng Ma , Emma Alexander

In this article, we study several reconstruction methods for the inverse source problem of photoacoustic tomography (PAT) with spatially variable sound speed and damping. The backbone of these methods is the adjoint operators, which we…

Analysis of PDEs · Mathematics 2018-08-21 Linh V. Nguyen , Markus Haltmeier

Patient motion is well-known for degrading image quality during medical imaging. Especially positron emission tomography (PET) is susceptible to motion due to its usually long scan times. In hybrid PET/MRI (magnetic resonance imaging),…

Medical Physics · Physics 2019-05-21 Lynn Johann Frohwein , Florian Büther , Klaus Peter Schäfers

Photoacoustic tomography (PAT) is a novel and rapidly promising technique in the field of medical imaging, based on the generation of acoustic waves inside an object of interest by stimulating non-ionizing laser pulses. This acoustic wave…

Analysis of PDEs · Mathematics 2022-02-08 Hyungyeong Jung , Sunghwan Moon

Photoacoustic computed tomography (PACT) is an emerging computed imaging modality that exploits optical contrast and ultrasonic detection principles to form images of the absorbed optical energy density within tissue. If the object…

Medical Physics · Physics 2017-09-08 Joemini Poudel , Thomas P. Matthews , Lei Li , Mark A. Anastasio , Lihong V. Wang

Optical coherence tomography (OCT) and photoacoustic tomography (PAT) are emerging non-invasive biological and medical imaging techniques. It is a recent trend in experimental science to design experiments that perform PAT and OCT imaging…

Analysis of PDEs · Mathematics 2016-04-19 Peter Elbau , Leonidas Mindrinos , Otmar Scherzer

In cardiac CINE, motion-compensated MR reconstruction (MCMR) is an effective approach to address highly undersampled acquisitions by incorporating motion information between frames. In this work, we propose a novel perspective for…

Image and Video Processing · Electrical Eng. & Systems 2024-08-19 Jiazhen Pan , Wenqi Huang , Daniel Rueckert , Thomas Küstner , Kerstin Hammernik

Reconstructing a dynamic object with affine motion in computerized tomography (CT) leads to motion artifacts if the motion is not taken into account. In most cases, the actual motion is neither known nor can be determined easily. As a…

Numerical Analysis · Mathematics 2024-03-14 Gesa Sarnighausen , Anne Wald , Alexander Meaney

Cone Beam Computed Tomography (CBCT) is widely used in dentistry for diagnostics and treatment planning. CBCT Imaging has a long acquisition time and consequently, the patient is likely to move. This motion causes significant artifacts in…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Abdul Salam Rasmi Asraf Ali , Andrea Fusiello , Claudio Landi , Cristina Sarti , Anneke Annassia Putri Siswadi

In most photoacoustic (PA) measurements, variations in speed-of-sound (SOS) of the subject are neglected under the assumption of acoustic homogeneity. Biological tissue with spatially heterogeneous SOS cannot be accurately reconstructed…

This is the manuscript of the chapter for a planned Handbook of Mathematical Methods in Imaging that surveys the mathematical models, problems, and algorithms of the Thermoacoustic (TAT) and Photoacoustic (PAT) Tomography. TAT and PAT…

Analysis of PDEs · Mathematics 2011-10-04 Peter Kuchment , Leonid Kunyansky

The literature on reconstruction formulas for photoacoustic tomography (PAT) is vast. The various reconstruction formulas differ by used measurement devices and geometry on which the data are sampled. In standard photoacoustic imaging…

Analysis of PDEs · Mathematics 2015-05-30 Peter Elbau , Otmar Scherzer , Rainer Schulze

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

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…

We consider the problem of signal reconstruction for computed tomography (CT) under a nonlinear forward model that accounts for exponential signal attenuation, a polychromatic X-ray source, general measurement noise (e.g., Poisson shot…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Mengqi Lou , Kabir Aladin Verchand , Sara Fridovich-Keil , Ashwin Pananjady

The reconstruction task in photoacoustic tomography can vary a lot depending on measured targets, geometry, and especially the quantity we want to recover. Specifically, as the signal is generated due to the coupling of light and sound by…

Medical Physics · Physics 2023-11-28 Andreas Hauptmann , Tanja Tarvainen

Motion during acquisition of a set of projections can lead to significant motion artifacts in computed tomography reconstructions despite fast acquisition of individual views. In cases such as cardiac imaging, motion may be unavoidable and…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Kunal Gupta , Brendan Colvert , Francisco Contijoch

Photoacoustic tomography (PAT) is a novel and promising technology in hybrid medical imaging that involves generating acoustic waves in the object of interest by stimulating electromagnetic energy. The acoustic wave is measured outside the…

Numerical Analysis · Mathematics 2022-08-24 Minam Moon , Injo Hur , Sunghwan Moon

Whole-body PET imaging is often hindered by respiratory motion during acquisition, causing significant degradation in the quality of reconstructed activity images. An additional challenge in PET/CT imaging arises from the respiratory phase…

Photoacoustic computed tomography (PACT), also known as optoacoustic tomography, is an emerging imaging modality that has great potential for a wide range of biomedical imaging applications. In this Note, we derive a hybrid reconstruction…

Analysis of PDEs · Mathematics 2015-06-11 Kun Wang , Mark A. Anastasio