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In this article we study the inverse problem of thermoacoustic tomography (TAT) on a medium with attenuation represented by a time- convolution (or memory) term, and whose consideration is motivated by the modeling of ultrasound waves in…

Analysis of PDEs · Mathematics 2017-03-29 Sebastian Acosta , Benjamin Palacios

Photoacoustic imaging (PAI) represents an innovative biomedical imaging modality that harnesses the advantages of optical resolution and acoustic penetration depth while ensuring enhanced safety. Despite its promising potential across a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Lei Wang , Weiming Zeng , Kai Long , Hongyu Chen , Rongfeng Lan , Li Liu , Wai Ting Siok , Nizhuan Wang

The paper presents a unified, flexible framework for the tasks of audio inpainting, declipping, and dequantization. The concept is further extended to cover analogous degradation models in a transformed domain, e.g. quantization of the…

Audio and Speech Processing · Electrical Eng. & Systems 2021-01-05 Ondřej Mokrý , Pavel Rajmic , Pavel Záviška

We propose a strategy for quantitative photoacoustic mapping of chromophore concentrations that can be performed purely experimentally. We exploit the possibility of acousto-optic modulation using focused ultrasound, and the principle that…

Optics · Physics 2012-07-23 Khalid Daoudi , Wiendelt Steenbergen

In photoacoustic imaging, ultrasound waves generated by a temperature rise after illumination of light absorbing structures are measured on the sample surface. These measurements are then used to reconstruct the optical absorption. We…

Applied Physics · Physics 2018-12-05 Oliver Lang , Peter Kovacs , Christian Motz , Mario Huemer , Thomas Berer , Peter Burgholzer

Quantitative tissue information, like the light scattering properties, is considered as a key player in the detection of cancerous cells in medical diagnosis. A promising method to obtain these data is optical coherence tomography (OCT). In…

Numerical Analysis · Mathematics 2023-06-21 Leopold Veselka , Peter Elbau , Leonidas Mindrinos , Lisa Krainz , Wolfgang Drexler

We present a method for the recovery of compressively sensed acoustic fields using patterned, instead of point-by-point, detection. From a limited number of such compressed measurements, we propose to reconstruct the field on the sensor…

Numerical Analysis · Mathematics 2016-09-12 Marta M. Betcke , Ben T. Cox , Nam Huynh , Edward Z. Zhang , Paul C. Beard , Simon R. Arridge

We consider the imaging problem of the reconstruction of a three-dimensional object via optical diffraction tomography under the assumptions of the Born approximation. Our focus lies in the situation that a rigid object performs an…

Numerical Analysis · Mathematics 2024-07-11 Robert Beinert , Michael Quellmalz

Computed Tomography (CT) is widely used in engineering and medicine for imaging the interior of objects, patients, or animals. If the employed X-ray source is monoenergetic, image reconstruction essentially means the inversion of a ray…

Optimization and Control · Mathematics 2022-06-08 Georgios Papanikos , Benedikt Wirth

Quantitative Photoacoustic tomography (QPAT) is an emerging medical imaging modality which offers the possibility of combining the high resolution of the acoustic waves and large contrast of optical waves by quantifying the molecular…

Numerical Analysis · Mathematics 2014-10-30 Adriano De Cezaro , Fabiana Travessini De Cezaro

In ultrasound tomography, the speed of sound inside an object is estimated based on acoustic measurements carried out by sensors surrounding the object. An accurate forward model is a prominent factor for high-quality image reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-24 Janne Koponen , Timo Lähivaara , Jari Kaipio , Marko Vauhkonen

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

This letter announces and summarizes results obtained in arXiv:1111.5051 and considers several natural extensions. The aforementioned paper proposes a procedure to reconstruct coefficients in a second-order, scalar, elliptic equation from…

Analysis of PDEs · Mathematics 2012-03-07 Guillaume Bal , Gunther Uhlmann

The paper analyses the possibility to recover different biomedical signals if limited number of samples is available. Having in mind that monitoring of health condition is done by measuring and observing key parameters such as heart…

Signal Processing · Electrical Eng. & Systems 2018-02-02 Ivan Martinovic , Vesna Mandic

We describe and examine an algorithm for tomographic image reconstruction where prior knowledge about the solution is available in the form of training images. We first construct a nonnegative dictionary based on prototype elements from the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-18 Sara Soltani , Martin S. Andersen , Per Christian Hansen

Photoacoustic tomography (PAT) is a newly emerged imaging modality which enables both high optical contrast and acoustic depth of penetration. Reconstructing images of photoacoustic tomography from limited amount of senser data is among one…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Shangqing Tong , Hengrong Lan , Liming Nie , Jianwen Luo , Fei Gao

Photo-acoustic Tomography (PAT) and Thermo-acoustic Tomography (TAT) are medical imaging modalities that combine the high contrast of radiative properties of tissues with the high resolution of ultrasound. In both modalities, a first step…

Medical Physics · Physics 2012-02-15 Guillaume Bal

We address the problem of image reconstruction from incomplete measurements, encompassing both upsampling and inpainting, within a learning-based framework. Conventional supervised approaches require fully sampled ground truth data, while…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Benjamin Walder , Daniel Toader , Robert Nuster , Günther Paltauf , Peter Burgholzer , Gregor Langer , Lukas Krainer , Markus Haltmeier

First, we review existing attenuation models and discuss their causality properties, which we believe to be essential for algorithms for inversion with attenuated data. Then, we survey causality properties of common attenuation models. We…

Analysis of PDEs · Mathematics 2011-11-29 Richard Kowar , Otmar Scherzer

Segmentation of biomedical images is essential for studying and characterizing anatomical structures, detection and evaluation of pathological tissues. Segmentation has been further shown to enhance the reconstruction performance in many…

Medical Physics · Physics 2019-01-11 Subhamoy Mandal , Xosé Luís Deán-Ben , Daniel Razansky
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