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Related papers: Explicit Reconstructions in QPAT, QTAT, TE, and MR…

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Quantum state tomography provides a fundamental framework for reconstructing quantum states. When the measurement data are not informationally complete, the observed statistics admit multiple compatible density matrices, making the…

Quantum Physics · Physics 2026-05-01 V. A. Penas , M. Losada , D. Tielas , F. Holik

The theranostic paradigm enables personalization of treatment by selecting patients with a diagnostic radiopharmaceutical and monitoring therapy using a matched therapeutic isotope. This strategy relies on accurate image reconstruction of…

Spectral computed tomography (CT) has a great potential in material identification and decomposition. To achieve high-quality material composition images and further suppress the x-ray beam hardening artifacts, we first propose a one-step…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Weiwen Wu , Qian Wang , Fenglin Liu , Yining Zhu , Hengyong Yu

Motion degradation is a central problem in Magnetic Resonance Imaging (MRI). This work addresses the problem of how to obtain higher quality, super-resolved motion-free, reconstructions from highly undersampled MRI data. In this work, we…

Image and Video Processing · Electrical Eng. & Systems 2019-08-19 Veronica Corona , Angelica I. Aviles-Rivero , Noémie Debroux , Carole Le Guyader , Carola-Bibiane Schönlieb

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

We demonstrate a new attosecond pulse reconstruction modality which uses an algorithm that is derived from ptychography. In contrast to other methods, energy and delay sampling are not correlated, and as a result, the number of electron…

Optics · Physics 2015-11-17 M. Lucchini , M. H. Brügmann , A. Ludwig , L. Gallmann , U. Keller , T. Feurer

Electrical Impedance Tomography (EIT) aims to recover the internal conductivity and permittivity distributions of a body from electrical measurements taken on electrodes on the surface of the body. The reconstruction task is a severely…

Numerical Analysis · Mathematics 2016-05-25 Sarah Jane Hamilton , Jennifer L. Mueller , Melody Alsaker

Image reconstruction in optoacoustic tomography (OAT) is a trending learning task highly dependent on measured physical magnitudes present at sensing time. The large number of different settings, and also the presence of uncertainties or…

Image and Video Processing · Electrical Eng. & Systems 2023-05-17 Matias Vera , Martin G. Gonzalez , Leonardo Rey Vega

Novel Magnetic Resonance (MR) imaging modalities can quantify hemodynamics but require long acquisition times, precluding its widespread use for early diagnosis of cardiovascular disease. To reduce the acquisition times, reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2022-01-12 Lauren Partin , Daniele E. Schiavazzi , Carlos A. Sing Long

Partial transfer absorption imaging (PTAI) of ultracold atoms allows for repeated and minimally-destructive measurements of an atomic ensemble. Here, we present a reconstruction technique based on PTAI that can be used to piece together the…

Quantum Gases · Physics 2020-11-12 C. Mordini , D. Trypogeorgos , L. Wolswijk , G. Lamporesi , G. Ferrari

Noninvasive reconstruction of cardiac transmembrane potential (TMP) from surface electrocardiograms (ECG) involves an ill-posed inverse problem. Model-constrained regularization is powerful for incorporating rich physiological knowledge…

Image and Video Processing · Electrical Eng. & Systems 2019-05-14 Sandesh Ghimire , Jwala Dhamala , Prashnna Kumar Gyawali , John L Sapp , B. Milan Horacek , Linwei Wang

Magneto-acousto-electric tomography (MAET) combines ultrasound with a static magnetic field to infer the electrical conductivity of an object. In this paper, we present a rigorous quasi-static mathematical model for MAET with magnetic field…

Analysis of PDEs · Mathematics 2026-03-03 Lingyun Qiu , Siqin Zheng

Modern tomography involves gathering projection data from multiple directions and feeding them into a software algorithm for tomographic reconstruction. We focus our study on image reconstruction from Radon data in the setting of…

Numerical Analysis · Mathematics 2014-12-19 Maria Angela Narduzzo

X-ray computed tomography (CT) based on photon counting detectors (PCD) extends standard CT by counting detected photons in multiple energy bins. PCD data can be used to increase the contrast-to-noise ratio (CNR), increase spatial…

Image and Video Processing · Electrical Eng. & Systems 2024-02-05 Natalie M. Jadue , Madhuri Nagare , Jonathan S. Maltz , Gregery T. Buzzard , Charles A. Bouman

We propose a magnetic resonance (MR)-based method for estimation of continuous linear attenuation coefficients (LAC) in positron emission tomography (PET) using a physical compartmental model and ultrashort echo time (UTE)/multi-echo Dixon…

Radio Tomographic Imaging (RTI) is a phaseless imaging approach that can provide shape reconstruction and localization of objects using received signal strength (RSS) measurements. RSS measurements can be straightforwardly obtained from…

Applied Physics · Physics 2023-11-17 Amartansh Dubey , Zan Li , Ross Murch

MR-based attenuation correction (MRAC) is important for accurate quantification of the uptake of PET tracers in combined PET/MR scanners. However, current techniques for MRAC usually require multiple acquisitions or complex post-processing…

Medical Physics · Physics 2019-06-11 Matteo Cencini , Michela Tosetti , Guido Buonincontri

Objectives: Magnetic resonance elastography (MRE) is a noninvasive technique for assessing the viscoelastic properties of soft biological tissues in vivo, with potential relevance for pediatric tumor evaluation. This study aimed to evaluate…

Photo-acoustic tomography is a coupled-physics (hybrid) medical imaging modality that aims to reconstruct optical parameters in biological tissues from ultrasound measurements. As propagating light gets partially absorbed, the resulting…

Analysis of PDEs · Mathematics 2020-01-08 Guillaume Bal , Adrian Kirkeby

An image or volume of interest in positron emission tomography (PET) is reconstructed from pairs of gamma rays emitted from a radioactive substance. Many image reconstruction methods are based on estimation of pixels or voxels on some…

Signal Processing · Electrical Eng. & Systems 2019-06-18 Azra Tafro , Damir Seršić , Ana Sović Kržić