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Small animal PET scanners require high spatial resolution and good sensitivity. To reconstruct high-resolution images in 3D-PET, iterative methods, such as OSEM, are superior to analytical reconstruction algorithms, although their high…

Medical Physics · Physics 2007-05-23 J. L. Herraiz , S. Espana , J. J. Vaquero , M. Desco , J. M. Udias

The problem of reconstructing and identifying intracellular protein signaling and biochemical networks is of critical importance in biology today. We sought to develop a mathematical approach to this problem using, as a test case, one of…

Data Analysis, Statistics and Probability · Physics 2012-06-15 D. Napoletani , T. Sauer , D. C. Struppa , E. Petricoin , L. Liotta

Purpose: To develop an algorithm for real-time volumetric image reconstruction and 3D tumor localization based on a single x-ray projection image for lung cancer radiotherapy. Methods: Given a set of volumetric images of a patient at N…

Medical Physics · Physics 2015-05-18 Ruijiang Li , Xun Jia , John H. Lewis , Xuejun Gu , Michael Folkerts , Chunhua Men , Steve B. Jiang

Single-particle electron cryomicroscopy is an essential tool for high-resolution 3D reconstruction of proteins and other biological macromolecules. An important challenge in cryo-EM is the reconstruction of non-rigid molecules with parts…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 Amit Moscovich , Amit Halevi , Joakim Andén , Amit Singer

Simulated images are essential in algorithm development and instrument testing for optical telescopes. During real observations, images obtained by optical telescopes are affected by spatially variable point spread functions (PSFs), a…

Instrumentation and Methods for Astrophysics · Physics 2025-02-17 Zeyu Bai , Peng Jia , Jiameng Lv , Xiang Zhang , Wennan Xiang , Lin Nie

We propose a variational approach to obtain super-resolution images from multiple low-resolution frames extracted from video clips. First the displacement between the low-resolution frames and the reference frame are computed by an optical…

Computer Vision and Pattern Recognition · Computer Science 2017-04-21 Rui Zhao , Raymond H. Chan

The ingenious idea of single molecule imaging by hard x-ray Free Electron Laser (X-FEL) pulses was recently proposed by Neutze et al. [Nature,406,752(2000)]. However, in their numerical modelling of the Coulomb explosion several…

Condensed Matter · Physics 2009-11-10 Zoltan Jurek , Gabor Oszlanyi , Gyula Faigel

X-ray is a ubiquitous imaging modality in clinical diagnostics and industrial inspections, thanks to its high penetration power. Conventional x-ray imaging system, equipped with energy-integrating detectors, collects approximately 1000 to…

Medical Physics · Physics 2020-08-24 Zheyuan Zhu , Shuo Pang

The advent of X-ray Free Electron Lasers promises the possibility to determine the structure of individual particles such as microcrystallites, viruses and biomolecules from single-shot diffraction snapshots obtained before the particle is…

Soft Condensed Matter · Physics 2010-05-06 Brian Moths , Abbas Ourmazd

We solve the orientation recovery of a tumbling protein in the gas phase from single-event measurements of the spatial positions of its ions after an X-ray laser induced explosion. We simulate diffracted X-ray signal and ion dynamics under…

Chemical Physics · Physics 2026-03-26 Tomas André , Alfredo Bellisario , Nicusor Timneanu , Carl Caleman

We present a MATLAB package for reconstructing sound-speed images from transmission ultrasound data. The package is based on two-point ray tracing and implements two complementary inversion strategies for image reconstruction. The first is…

Numerical Analysis · Mathematics 2025-11-25 Ashkan Javaherian

In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we focus on a special sampling pattern with a small number of…

Numerical Analysis · Mathematics 2025-10-22 Gerlind Plonka , Anahita Riahi

Electron tomographic reconstruction is a method for obtaining a three-dimensional image of a specimen with a series of two dimensional microscope images taken from different viewing angles. Filtered backprojection, one of the most popular…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Chen Mu , Chiwoo Park

Reconstructing continuous signals from a small number of discrete samples is a fundamental problem across science and engineering. In practice, we are often interested in signals with 'simple' Fourier structure, such as bandlimited,…

Data Structures and Algorithms · Computer Science 2018-12-24 Haim Avron , Michael Kapralov , Cameron Musco , Christopher Musco , Ameya Velingker , Amir Zandieh

In tomographic imaging, anatomical structures are reconstructed by applying a pseudo-inverse forward model to acquired signals. Geometric information within this process is usually depending on the system setting only, i. e., the scanner…

Image and Video Processing · Electrical Eng. & Systems 2020-06-19 Alexander Preuhs , Michael Manhart , Philipp Roser , Elisabeth Hoppe , Yixing Huang , Marios Psychogios , Markus Kowarschik , Andreas Maier

In computed tomography (CT), the relative trajectories of a sample, a detector, and a signal source are traditionally considered to be known, since they are caused by the intentional preprogrammed movement of the instrument parts. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-11 Mark Griguletskii , Mikhail Chekanov , Oleg Shipitko

X-ray tomography is a powerful volumetric imaging technique, but detailed three dimensional (3D) imaging requires the acquisition of a large number of individual X-ray images, which is time consuming. For applications where spatial…

Image and Video Processing · Electrical Eng. & Systems 2023-02-28 Zhenduo Shang , Thomas Blumensath

Single-particle cryo-electron microscopy (cryo-EM) has recently joined X-ray crystallography and NMR spectroscopy as a high-resolution structural method to resolve biological macromolecules. In a cryo-EM experiment, the microscope produces…

Information Theory · Computer Science 2022-10-28 Tamir Bendory , Nicolas Boumal , William Leeb , Eitan Levin , Amit Singer