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This work investigates the problem of signal recovery from undersampled noisy sub-Gaussian measurements under the assumption of a synthesis-based sparsity model. Solving the $\ell^1$-synthesis basis pursuit allows for a simultaneous…

Information Theory · Computer Science 2020-04-16 Maximilian März , Claire Boyer , Jonas Kahn , Pierre Weiss

Electron microscopy has enabled many scientific breakthroughs across multiple fields. A key challenge is the tuning of microscope parameters based on images to overcome optical aberrations that deteriorate image quality. This calibration…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Jilles S. van Hulst , W. P. M. H. Heemels , Duarte J. Antunes

This study presents a noise-robust framework for 1-bit diffraction tomography, a novel imaging approach that relies on intensity-only binary measurements obtained through coded apertures. The proposed reconstruction scheme leverages random…

Information Theory · Computer Science 2025-05-27 Pengwen Chen , Albert Fannjiang

Size effects are ubiquitous in the structural, mechanical, and physical properties of materials, making it highly desirable to study the intrinsic properties of thick objects through high-resolution structural analysis in transmission…

Materials Science · Physics 2025-02-26 Wenfeng Yang , Haozhi Sha , Jizhe Cui , Rong Yu

Electrical impedance tomography (EIT) is a noninvasive medical imaging modality utilizing the current-density/voltage data measured on the surface of the subject. Calder\'on's method is a relatively recent EIT imaging algorithm that is…

Numerical Analysis · Mathematics 2023-11-01 Siyu Cen , Bangti Jin , Kwancheol Shin , Zhi Zhou

In ultrasound nondestructive testing, a widespread approach is to take synthetic aperture measurements from the surface of a specimen to detect and locate defects within it. Based on these measurements, imaging is usually performed using…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Jan Kirchhof , Sebastian Semper , Christoph W. Wagner , Eduardo Pérez , Florian Römer , Giovanni Del Galdo

We propose a probabilistic framework for interpreting and developing hard thresholding sparse signal reconstruction methods and present several new algorithms based on this framework. The measurements follow an underdetermined linear model,…

Information Theory · Computer Science 2010-11-08 Kun Qiu , Aleksandar Dogandzic

Among all tissue imaging modalities, photo-acoustic tomography (PAT) has been getting increasing attention in the recent past due to the fact that it has high contrast, high penetrability, and has capability of retrieving high resolution.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-20 Nadaparambil Aravindakshan Rejesh , Muthuvel Arigovindan

In this paper, we formulate the reconstruction problem in diffuse optical tomography (DOT) in a statistical setting for determining the optical parameters, scattering and absorption, from boundary photon density measurements. A special kind…

Numerical Analysis · Mathematics 2020-02-20 Thilo Strauss , Sanwar Ahmad , Taufiquar Khan

Iterative image reconstruction (IIR) with sparsity-exploiting methods, such as total variation (TV) minimization, investigated in compressive sensing (CS) claim potentially large reductions in sampling requirements. Quantifying this claim…

Medical Physics · Physics 2012-08-21 Jakob H. Jørgensen , Emil Y. Sidky , Xiaochuan Pan

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

Due to excessive need for faster propagations of signals and necessity to reduce number of measurements and rapidly increase efficiency, new sensing theories have been proposed. Conventional sampling approaches that follow Shannon-Nyquist…

Signal Processing · Electrical Eng. & Systems 2019-02-21 Milan Resetar , Gojko Ratkovic , Svetlana Zecevic

In the current paper we consider the Helical Cone Beam CT. This scanning method exposes the patient to large quantities of radiation and results in very large amounts of data being collected and stored. Both these facts are prime motivators…

Information Theory · Computer Science 2016-02-11 Tamir Bendory , Arie Feuer

Multi-energy CT takes advantage of the non-linearly varying attenuation properties of elemental media with respect to energy, enabling more precise material identification than single-energy CT. The increased precision comes with the cost…

Medical Physics · Physics 2020-02-14 Jussi Toivanen , Alexander Meaney , Samuli Siltanen , Ville Kolehmainen

Electrical Capacitance Tomography (ECT) is an imaging technique providing the distribution of permittivity in a medium by the mean of electrodes. As for any imaging systems, the reachable spatial resolution is a key parameter. In this paper…

Instrumentation and Detectors · Physics 2015-03-05 Jérôme Lucas , Cédric Margo , Yacine Oussar , Stéphane Holé

This work is concerned with applying iterative image reconstruction, based on constrained total-variation minimization, to low-intensity X-ray CT systems that have a high sampling rate. Such systems pose a challenge for iterative image…

Medical Physics · Physics 2016-11-17 Emil Y. Sidky , Rick Chartrand , Yuval Duchin , Christer Ullberg , Xiaochuan Pan

We study the numerical reconstruction problem in acousto-electric tomography of recovering the conductivity distribution in a bounded domain from interior power density data. We propose a numerical method for recovering discontinuous…

Optimization and Control · Mathematics 2019-02-20 Bolaji James Adesokan , Bjørn Jensen , Bangti Jin , Kim Knudsen

This publication presents an investigation of the performance of different analytical electron ptychography methods for low-dose imaging. In particular, benchmarking is performed for two model-objects, monolayer MoS$_2$ and apoferritin, by…

Applied Physics · Physics 2025-05-20 Hoelen L. Lalandec Robert , Max Leo Leidl , Knut Müller-Caspary , Jo Verbeeck

Deep learning has emerged as a technique of choice for rapid feature extraction across imaging disciplines, allowing rapid conversion of the data streams to spatial or spatiotemporal arrays of features of interest. However, applications of…

Data Analysis, Statistics and Probability · Physics 2021-01-25 Ayana Ghosh , Bobby G. Sumpter , Ondrej Dyck , Sergei V. Kalinin , Maxim Ziatdinov

Ultrasound imaging faces a trade-off between image quality and hardware complexity caused by dense transducers. Sparse arrays are one popular solution to mitigate this challenge. This work proposes an end-to-end optimization framework that…

Image and Video Processing · Electrical Eng. & Systems 2026-04-01 Sergio Urrea , Adrian Basarab , Hervé Liebgott , Henry Arguello