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Since the early 1970s, inversion techniques have become the most useful tool for inferring the magnetic, dynamic, and thermodynamic properties of the solar atmosphere. The intrinsic model dependence makes it necessary to formulate specific…

Solar and Stellar Astrophysics · Physics 2016-12-07 Jose Carlos del Toro Iniesta , Basilio Ruiz Cobo

Computed Tomography (CT) reconstruction of objects with cylindrical symmetry can be performed with a single projection. When the measured rays are parallel, and the axis of symmetry is perpendicular to the optical axis, the data can be…

Medical Physics · Physics 2024-10-15 Kyle M. Champley , Ibrahim Oksuz , Matthew G. Bisbee , Joseph W. Tringe , Brian Maddox

Computed tomography (CT) has become an essential part of modern science and medicine. A CT scanner consists of an X-ray source that is spun around an object of interest. On the opposite end of the X-ray source, a detector captures X-rays…

Image and Video Processing · Electrical Eng. & Systems 2023-09-14 Thomas Germer , Jan Robine , Sebastian Konietzny , Stefan Harmeling , Tobias Uelwer

Photon-counting computed tomography (PCCT) marks a significant advancement over conventional energy-integrating detector (EID) CT systems. This review highlights PCCT's superior spatial and contrast resolution, reduced radiation dose, and…

Neutron Computed Tomography (CT) is an increasingly utilised non-destructive analysis tool in material science, palaeontology, and cultural heritage. With the development of new neutron imaging facilities (such as DINGO, ANSTO, Australia)…

Instrumentation and Detectors · Physics 2019-09-04 Jeremy M. C. Brown , Ulf Garbe , Daniele Pelliccia

Scanning transmission electron microscopy (STEM) has become the technique of choice for quantitative characterization of atomic structure of materials, where the minute displacements of atomic columns from high-symmetry positions can be…

Materials Science · Physics 2021-10-05 Kevin M. Roccapriore , Nicole Creange , Maxim Ziatdinov , Sergei V. Kalinin

Statistical event reconstruction techniques can give better results for gamma cameras than the traditional centroid method. However, implementation of such techniques requires detailed knowledge of the PMT light response functions. Here we…

Medical Physics · Physics 2015-06-11 A. Morozov , V. Solovov , F. Alves , V. Domingos , R. Martins , F. Neves , V. Chepel

The dose of X-ray radiation and the scanning time are crucial factors in computed tomography (CT) for clinical applications. In this work, we introduce a multi-source static CT imaging system designed to rapidly acquire sparse view and…

Medical Physics · Physics 2025-01-03 Ziju Shen , Haimiao Zhang , Bin Dong , Jun Qiu , Yunxiang Li , Zhili Cui

Efficiently acquired and precisely reconstructed imaging are crucial to the success of modern radiation therapy (RT). Computed tomography (CT) and magnetic resonance imaging (MRI) are two common modalities for providing RT treatment…

Image and Video Processing · Electrical Eng. & Systems 2025-04-15 Di Xu

In this paper, we address analytically and numerically the inversion of the integral transform (\emph{cone} or \emph{Compton} transform) that maps a function on $\mathbb{R}^3$ to its integrals over conical surfaces. It arises in a variety…

Data Analysis, Statistics and Probability · Physics 2016-08-18 Peter Kuchment , Fatma Terzioglu

Computed Tomography (CT) reconstruction is a fundamental component to a wide variety of applications ranging from security, to healthcare. The classical techniques require measuring projections, called sinograms, from a full 180$^\circ$…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Rushil Anirudh , Hyojin Kim , Jayaraman J. Thiagarajan , K. Aditya Mohan , Kyle Champley , Timo Bremer

This paper reviewed the machine learning-based studies for quantitative positron emission tomography (PET). Specifically, we summarized the recent developments of machine learning-based methods in PET attenuation correction and low-count…

Image and Video Processing · Electrical Eng. & Systems 2020-01-22 Tonghe Wang , Yang Lei , Yabo Fu , Walter J. Curran , Tian Liu , Xiaofeng Yang

Purpose: We analyze a recently proposed polyenergetic version of the simultaneous algebraic reconstruction technique (SART). This algorithm, denoted pSART, replaces the monoenergetic forward projection operation used by SART with a…

Numerical Analysis · Mathematics 2017-01-17 Thomas Humphries

Proton computed tomography (pCT) is an image modality that will improve treatment planning for patients receiving proton radiation therapy compared with the current treatment techniques, which are based on X-ray CT. Reconstruction of a pCT…

Medical Physics · Physics 2021-08-30 Micah Witt , Blake Schultze , Reinhard Schulte , Keith Schubert , Ernesto Gomez

This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the theoretical foundation…

Numerical Analysis · Mathematics 2024-07-04 Gaik Ambartsoumian , Rohit Kumar Mishra , Indrani Zamindar

We consider the inverse problem of the broken ray transform (sometimes also referred to as the V-line transform). Explicit image reconstruction formulas are derived and tested numerically. The obtained formulas are generalizations of the…

Mathematical Physics · Physics 2011-01-07 Lucia Florescu , Vadim A. Markel , John C. Schotland

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

Multi-target tracking (MTT) is a classical signal processing task, where the goal is to estimate the states of an unknown number of moving targets from noisy sensor measurements. In this paper, we revisit MTT from a deep learning…

Signal Processing · Electrical Eng. & Systems 2024-05-15 Damian Owerko , Charilaos I. Kanatsoulis , Jennifer Bondarchuk , Donald J. Bucci , Alejandro Ribeiro

We propose a novel numerical inversion algorithm for the coefficients of parabolic partial differential equations, based on model reduction. The study is motivated by the application of controlled source electromagnetic exploration, where…

Numerical Analysis · Mathematics 2014-11-21 Liliana Borcea , Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

CT images have been used to generate radiation therapy treatment plans for more than two decades. Dual-energy CT (DECT) has shown high accuracy in estimating electronic density or proton stopping-power maps used in treatment planning.…

Image and Video Processing · Electrical Eng. & Systems 2022-02-02 Tao Ge , Maria Medrano , Rui Liao , Jeffrey F. Williamson , David G. Politte , Bruce R. Whiting , Joseph A. O'Sullivan