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We investigate the inverse problem of recovering an initial source for the wave equation with fractional attenuation, motivated by photoacoustic tomography (PAT). The attenuation is modeled by a Caputo fractional derivative of order…

Analysis of PDEs · Mathematics 2025-10-10 Sebastian Acosta , Benjamin Palacios

Photoacoustic (PA) imaging is a biomedical imaging modality capable of acquiring high-contrast images of optical absorption at depths much greater than traditional optical imaging techniques. However, practical instrumentation and geometry…

Computer Vision and Pattern Recognition · Computer Science 2021-06-02 Mengjie Guo , Hengrong Lan , Changchun Yang , Fei Gao

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

A crucial limitation of current high-resolution 3D photoacoustic tomography (PAT) devices that employ sequential scanning is their long acquisition time. In previous work, we demonstrated how to use compressed sensing techniques to improve…

Numerical Analysis · Mathematics 2020-09-07 Felix Lucka , Nam Huynh , Marta Betcke , Edward Zhang , Paul Beard , Ben Cox , Simon Arridge

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

Iterative image reconstruction algorithms for optoacoustic tomography (OAT), also known as photoacoustic tomography, have the ability to improve image quality over analytic algorithms due to their ability to incorporate accurate models of…

Analysis of PDEs · Mathematics 2015-06-05 Kun wang , Richard Su , Alexander A. Oraevsky , Mark A. Anastasio

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…

Photoacoustic tomography (PAT) has the potential to recover morphological and functional tissue properties with high spatial resolution. However, previous attempts to solve the optical inverse problem with supervised machine learning were…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Melanie Schellenberg , Janek Gröhl , Kris K. Dreher , Jan-Hinrich Nölke , Niklas Holzwarth , Minu D. Tizabi , Alexander Seitel , Lena Maier-Hein

Photoacoustic computed tomography (PACT) is a rapidly emerging bioimaging modality that seeks to reconstruct an estimate of the absorbed optical energy density within an object. Conventional PACT image reconstruction methods assume a…

Medical Physics · Physics 2016-11-18 Chao Huang , Kun Wang , Robert W. Schoonover , Lihong V. Wang , Mark A. Anastasio

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

Photoacoustic imaging (PAI) uniquely combines the advantages of optical contrast with deep tissue penetration capability of acoustic waves, enabling imaging at depths of several centimeters. Conventional photoacoustic imaging methods have…

Applied Physics · Physics 2026-02-24 Xingchi Yan , Siyuan Song , Hanxun Jin

Optoacoustic tomography image reconstruction has been a problem of interest in recent years. By exploiting the exceptional generative power of the recently proposed diffusion models we consider a scheme which is based on a conditional…

Image and Video Processing · Electrical Eng. & Systems 2024-11-26 Martin G. Gonzalez , Matias Vera , Leonardo Rey Vega

We propose a combined reconstruction-classification method for simultaneously recovering absorption and scattering in turbid media from images of absorbed optical energy. This method exploits knowledge that optical parameters are determined…

Medical Physics · Physics 2016-01-20 Emma Malone , Samuel Powell , Ben T. Cox , Simon R. Arridge

Inspired by the recent advances on minimizing nonsmooth or bound-constrained convex functions on models using varying degrees of fidelity, we propose a line search multigrid (MG) method for full-wave iterative image reconstruction in…

Numerical Analysis · Mathematics 2016-11-22 Ashkan Javaherian , Sean Holman

In this paper we consider the problem of acoustic inversion in the context of the optoacoustic tomography image reconstruction problem. By leveraging the ability of the recently proposed diffusion models for image generative tasks among…

Image and Video Processing · Electrical Eng. & Systems 2024-04-17 M. G. González , M. Vera , A. Dreszman , L. J. Rey Vega

A new development in photoacoustic (PA) imaging has been the use of compact, portable and low-cost laser diodes (LDs), but LD-based PA imaging suffers from low signal intensity recorded by the conventional transducers. A common method to…

Image and Video Processing · Electrical Eng. & Systems 2023-03-28 Vincent Vousten , Hamid Moradi , Emad M. Boctor , Septimiu E. Salcudean

Quantitative photoacoustic tomography (qPAT) is an imaging technique aimed at estimating chromophore concentrations inside tissues from photoacoustic images, which are formed by combining optical information and ultrasonic propagation. The…

Computational Physics · Physics 2019-12-23 Hwan Goh , Timo Lahivaara , Tanja Tarvainen , Aki Pulkkinen , Owen Dillon , Ruanui Nicholson , Jari Kaipio

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

Performing a large number of spatial measurements enables high-resolution photoacoustic imaging without specific prior information. However, the acquisition of spatial measurements is time-consuming, costly, and technically challenging. By…

Numerical Analysis · Mathematics 2021-01-12 Gerhard Zangerl , Markus Haltmeier

The development of efficient and accurate image reconstruction algorithms is one of the cornerstones of computed tomography. Existing algorithms for quantitative photoacoustic tomography currently operate in a two-stage procedure: First an…

Analysis of PDEs · Mathematics 2015-05-20 Markus Haltmeier , Lukas Neumann , Simon Rabanser
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