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We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

Computed tomography (CT) is a beneficial imaging tool for diagnostic purposes. CT scans provide detailed information concerning the internal anatomic structures of a patient, but present higher radiation dose and costs compared to X-ray…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Benjamin Paulson , Joshua Goldshteyn , Sydney Balboni , John Cisler , Andrew Crisler , Natalia Bukowski , Julia Kalish , Theodore Colwell

We propose algorithms based on an optimisation method for inverse multislice ptychography in, e.g. electron microscopy. The multislice method is widely used to model the interaction between relativistic electrons and thick specimens. Since…

Using single-task deep learning methods to reconstruct Magnetic Resonance Imaging (MRI) data acquired with different imaging sequences is inherently challenging. The trained deep learning model typically lacks generalizability, and the…

Image and Video Processing · Electrical Eng. & Systems 2024-04-23 Wanyu Bian , Albert Jang , Fang Liu

Ptychography is a computational imaging technique using multiple, overlapping, coherently illuminated snapshots to achieve nanometer resolution by solving a nonlinear phase-field recovery problem. Ptychography is vital for imaging of…

Image and Video Processing · Electrical Eng. & Systems 2021-12-10 Qiuchen Zhai , Brendt Wohlberg , Gregery T. Buzzard , Charles A. Bouman

Reconstructing the unknown spectrum of a given X-ray source is a common problem in a wide range of X-ray imaging tasks. For high-energy sources, transmission measurements are mostly used to recover the X-ray spectrum, as a solution to an…

Applied Physics · Physics 2023-07-13 Arthur Walker , Alexandre Friou , Kevin Ginsburger

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

Imaging with multiple modalities or multiple channels is becoming increasingly important for our modern society. A key tool for understanding and early diagnosis of cancer and dementia is PET-MR, a combined positron emission tomography and…

Image and Video Processing · Electrical Eng. & Systems 2020-07-24 Matthias J. Ehrhardt

Dual-energy computed tomography (DECT) has been widely used to obtain quantitative elemental composition of imaged subjects for personalized and precise medical diagnosis. Compared with DECT leveraging advanced X-ray source and/or detector…

Medical Physics · Physics 2024-08-28 Qiaoxin Li , Ruifeng Chen , Peng Wang , Guotao Quan , Yanfeng Du , Dong Liang , Yinsheng Li

Dual-energy computed tomography (DECT) is of great significance for clinical practice due to its huge potential to provide material-specific information. However, DECT scanners are usually more expensive than standard single-energy CT…

Medical Physics · Physics 2020-06-02 Tianling Lyu , Zhan Wu , Yikun Zhang , Yang Chen , Lei Xing , Wei Zhao

Computed tomography (CT) segmentation models often contain classes that are not currently supported by magnetic resonance imaging (MRI) segmentation models. In this study, we show that a simple image inversion technique can significantly…

Image and Video Processing · Electrical Eng. & Systems 2025-09-25 Hartmut Häntze , Lina Xu , Maximilian Rattunde , Leonhard Donle , Felix J. Dorfner , Alessa Hering , Lisa C. Adams , Keno K. Bressem

The electronCT technique is an imaging method based on the multiple Coulomb scattering of relativistic electrons and has potential applications in medical and industrial imaging. It utilizes a pencil beam of electrons in the very high…

The reconstruction of the structure of biological tissue using electromyographic data is a non-invasive imaging method with diverse medical applications. Mathematically, this process is an inverse problem. Furthermore, electromyographic…

Numerical Analysis · Mathematics 2021-05-26 Anna Rörich , Tim A. Werthmann , Dominik Göddeke , Lars Grasedyck

The article presents an efficient image reconstruction algorithm for single scattering optical tomography (SSOT) in circular geometry of data acquisition. This novel medical imaging modality uses photons of light that scatter once in the…

Numerical Analysis · Mathematics 2016-03-08 Gaik Ambartsoumian , Souvik Roy

We consider the multi-target detection problem of estimating a two-dimensional target image from a large noisy measurement image that contains many randomly rotated and translated copies of the target image. Motivated by single-particle…

Image and Video Processing · Electrical Eng. & Systems 2022-09-05 Tamir Bendory , Ti-Yen Lan , Nicholas F. Marshall , Iris Rukshin , Amit Singer

This revisit gives a survey on the analytical methods for the inverse exponential Radon transform which has been investigated in the past three decades from both mathematical interests and medical applications such as nuclear medicine…

Image and Video Processing · Electrical Eng. & Systems 2020-02-06 Jason You

Electrical impedance tomography is an imaging modality for extracting information on the conductivity distribution inside a physical body from boundary measurements of current and voltage. In many practical applications, it is a priori…

Numerical Analysis · Mathematics 2014-06-06 Lauri Harhanen , Nuutti Hyvönen , Helle Majander , Stratos Staboulis

For nonlinear multispectral computed tomography (CT), accurate and fast image reconstruction is challenging when the scanning geometries under different X-ray energy spectra are inconsistent or mismatched. Motivated by this, we propose an…

Numerical Analysis · Mathematics 2025-07-28 Yu Gao , Chong Chen

We demonstrate a multi-beam scanning transmission electron microscopy (STEM) imaging that integrates down-sampling with super-resolution image reconstruction via a compressive sensing framework. A custom condenser aperture with six randomly…

Instrumentation and Detectors · Physics 2026-03-19 Akira Yasuhara , Takumi Sannomiya , Ryoichi Horisaki

Magnetic particle imaging (MPI) is a medical imaging modality of recent origin, and it exploits the nonlinear magnetization phenomenon to recover the spatially dependent concentration of the nanoparticles. Currently, image reconstruction in…

Numerical Analysis · Mathematics 2019-04-23 Tobias Kluth , Bangti Jin