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Here we present new joint reconstruction and regularization techniques inspired by ideas in microlocal analysis and lambda tomography, for the simultaneous reconstruction of the attenuation coefficient and electron density from X-ray…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 James Webber , Eric Todd Quinto , Eric L. Miller

We develop a method for sparse image reconstruction from polychromatic computed tomography (CT) measurements under the blind scenario where the material of the inspected object and the incident-energy spectrum are unknown. We obtain a…

Methodology · Statistics 2016-05-17 Renliang Gu , Aleksandar Dogandžić

Recent years have seen growing interest in exploiting dual- and multi-energy measurements in computed tomography (CT) in order to characterize material properties as well as object shape. Material characterization is performed by…

Computer Vision and Pattern Recognition · Computer Science 2015-09-30 Brian H. Tracey , Eric L. Miller

Many spectral CT applications require accurate material decomposition. Existing material decomposition algorithms are often susceptible to significant noise magnification or, in the case of one-step model-based approaches, hampered by slow…

Medical Physics · Physics 2025-07-22 Xiao Jiang , Grace J. Gang , J. Webster Stayman

In this paper we address the problem of recovering a matrix, with inherent low rank structure, from its lower dimensional projections. This problem is frequently encountered in wide range of areas including pattern recognition, wireless…

Numerical Analysis · Computer Science 2013-12-25 Anupriya Gogna , Ankita Shukla , Angshul Majumdar

To develop an efficient motion-compensated reconstruction technique for free-breathing cardiac magnetic resonance imaging (MRI) that allows high-quality images to be reconstructed from multiple undersampled single-shot acquisitions. The…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Aurelien Bustin , Anne Menini , Martin A. Janich , Darius Burschka , Jacques Felblinger , Anja C. S. Brau , Freddy Odille

Flat-panel cone-beam CT (CBCT) has been applied clinically in a number of high-resolution applications. Increasing geometric magnification can potentially improve resolution, but also increases blur due to an extended x-ray focal-spot. We…

Medical Physics · Physics 2016-10-18 Steven Tilley , Wojciech Zbijewski , Jeffrey H. Siewerdsen , J. Webster Stayman

Classical total variation (TV) based iterative reconstruction algorithms assume that the signal is piecewise smooth, which causes reconstruction results to suffer from the over-smoothing effect. To address this problem, this work presents a…

Medical Physics · Physics 2018-03-06 Peng Bao , Jiliu Zhou , Yi Zhang

Fluorescence molecular tomography (FMT) is an emerging powerful tool for biomedical research. There are two factors that influence FMT reconstruction most effectively. The first one is the regularization techniques. Traditional methods such…

Image and Video Processing · Electrical Eng. & Systems 2021-09-09 Yan Liu , Wuwei Ren , Habib Ammari

Material decomposition for imaging multiple contrast agents in a single acquisition has been made possible by spectral CT: a modality which incorporates multiple photon energy spectral sensitivities into a single data collection. This work…

Medical Physics · Physics 2020-08-11 Matthew Tivnan , Steven Tilley , J. Webster Stayman

We are interested in fast and stable iterative regularization methods for image deblurring problems with space invariant blur. The associated coefficient matrix has a Block Toeplitz Toeplitz Blocks (BTTB) like structure plus a small rank…

Numerical Analysis · Mathematics 2020-09-07 Davide Bianchi , Alessandro Buccini

Non-destructive characterization of multi-layered structures that can be accessed from only a single side is important for applications such as well-bore integrity inspection. Existing methods related to Synthetic Aperture Focusing…

Image and Video Processing · Electrical Eng. & Systems 2023-02-13 Abdulrahman M. Alanazi , Singanallur Venkatakrishnan , Gregery T. Buzzard , Charles A. Bouman

Model-Based Iterative Reconstruction (MBIR) is important because direct methods, such as Filtered Back-Projection (FBP) can introduce significant noise and artifacts in sparse-angle tomography, especially for time-evolving samples. Although…

Mathematical Software · Computer Science 2026-03-31 Dinesh Kumar , Jeffrey Donatelli

Computed tomography (CT) reconstructs volumetric images using X-ray projection data acquired from multiple angles around an object. For low-dose or sparse-view CT scans, the classic image reconstruction algorithms often produce severe noise…

Medical Physics · Physics 2024-03-04 Wenxiang Cong , Wenjun Xia , Ge Wang

Beam hardening (BH) is one of the major artifacts that severely reduces the quality of Computed Tomography (CT) imaging. In a polychromatic X-ray beam, since low-energy photons are more preferentially absorbed, the attenuation of the beam…

Image and Video Processing · Electrical Eng. & Systems 2022-03-10 Ammar Alsaffar , Kaicong Sun , Sven Simon

Filtered back projection (FBP) is the most widely used method for image reconstruction in X-ray computed tomography (CT) scanners. The presence of hyper-dense materials in a scene, such as metals, can strongly attenuate X-rays, producing…

Computer Vision and Pattern Recognition · Computer Science 2019-08-02 Muhammad Usman Ghani , W. Clem Karl

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) reveals the materials' internal structures non-destructively from a tilt series of projected images. Filtered back projection (FBP) is a widely-adopted reconstruction algorithm in CT owing to its small…

Spectral CT has shown promise for high-sensitivity quantitative imaging and material decomposition. This work presents a new device called a spatial-spectral filter (SSF) which consists of a tiled array of filter materials positioned near…

Medical Physics · Physics 2020-10-16 Matthew Tivnan , Wenying Wang , Grace Gang , J. Webster Stayman

Image reconstruction in Multispectral Computed Tomography (MSCT) requires solving a challenging nonlinear inverse problem, commonly tackled via iterative optimization algorithms. Existing methods necessitate computing the derivative of the…

Numerical Analysis · Mathematics 2024-02-20 Thomas Prohaszka , Lukas Neumann , Markus Haltmeier