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We consider algebraic iterative reconstruction methods with applications in image reconstruction. In particular, we are concerned with methods based on an unmatched projector/backprojector pair; i.e., the backprojector is not the exact…

Numerical Analysis · Mathematics 2019-02-14 Yiqiu Dong , Per Christian Hansen , Michiel E. Hochstenbach , Nicolai Andre Brogaard Riis

Reconstructing the shape and spatially varying surface appearances of a physical-world object as well as its surrounding illumination based on 2D images (e.g., photographs) of the object has been a long-standing problem in computer vision…

Computer Vision and Pattern Recognition · Computer Science 2024-02-02 Cheng Sun , Guangyan Cai , Zhengqin Li , Kai Yan , Cheng Zhang , Carl Marshall , Jia-Bin Huang , Shuang Zhao , Zhao Dong

Wavelength-resolved (WR) neutron transmission tomography is an emerging technique to characterize engineering materials. While tomographic reconstruction for amorphous samples is straightforward, it is challenging to reconstruct samples…

Image and Video Processing · Electrical Eng. & Systems 2019-02-19 S. V. Venkatakrishnan , Luc Dessieux , Philip Bingham

In dental cone-beam computed tomography (CBCT), compact and cost-effective system designs often use small detectors, resulting in a truncated field of view (FOV) that does not fully encompass the patient's head. In iterative reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Hyoung Suk Park , Kiwan Jeon

Model-Based Image Reconstruction (MBIR) methods significantly enhance the quality of computed tomographic (CT) reconstructions relative to analytical techniques, but are limited by high computational cost. In this paper, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2019-11-22 Venkatesh Sridhar , Xiao Wang , Gregery T. Buzzard , Charles A. Bouman

Current state-of-the-art motion-based dynamic computed tomography reconstruction techniques estimate the deformation by considering motion models in the entire object volume although occasionally the proper change is local. In this article,…

Optimization and Control · Mathematics 2023-09-06 Anh-Tuan Nguyen , Jens Renders , Jan Sijbers , Jan De Beenhouwer

The inversion of linear systems is a fundamental step in many inverse problems. Computational challenges exist when trying to invert large linear systems, where limited computing resources mean that only part of the system can be kept in…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Yushan Gao , Thomas Blumensath

Purpose: CT image reconstruction techniques have two major categories: analytical reconstruction (AR) method and iterative reconstruction (IR) method. AR reconstructs images through analytical formulas, such as filtered backprojection (FBP)…

Medical Physics · Physics 2013-10-08 Liu Yang , Yu Gao , Sharon X. Qi , Hao Gao

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

Image and Video Processing · Electrical Eng. & Systems 2023-11-22 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

X-ray tomography has been studied in various fields. Although a great deal of effort has been directed at reconstructing the projection image set from a rigid-type specimen, little attention has been addressed to the reconstruction of…

Computational Physics · Physics 2018-07-04 Kyungtaek Jun , Dongwook Kim

Traditional model-based image reconstruction (MBIR) methods combine forward and noise models with simple object priors. Recent application of deep learning methods for image reconstruction provides a successful data-driven approach to…

Image and Video Processing · Electrical Eng. & Systems 2022-05-20 Ling Chen , Zhishen Huang , Yong Long , Saiprasad Ravishankar

The recent application of Fourier Based Iterative Reconstruction Method (FIRM) has made it possible to achieve high-quality 2D images from a fan beam Computed Tomography (CT) scan with a limited number of projections in a fast manner. The…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 N. Teyfouri , H. Rabbani , R. Kafieh , Iraj Jabbari

Lorentz Transmission Electron Microscopy (TEM) observations of magnetic nanoparticles contain information on the magnetic and electrostatic potentials. Vector Field Electron Tomography (VFET) can be used to reconstruct electromagnetic…

Computation · Statistics 2017-04-28 Prabhat KC , K. Aditya Mohan , Charudatta Phatak , Charles Bouman , Marc De Graef

Industrial X-ray cone-beam CT (XCT) scanners are widely used for scientific imaging and non-destructive characterization. Industrial CBCT scanners use large detectors containing millions of pixels and the subsequent 3D reconstructions can…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Aniket Pramanik , Singanallur V. Venkatakrishnan , Obaidullah Rahman , Amirkoushyar Ziabari

In this paper, we present a deep learning algorithm to rapidly obtain high quality CT reconstructions for AM parts. In particular, we propose to use CAD models of the parts that are to be manufactured, introduce typical defects and simulate…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Amirkoushyar Ziabari , Michael Kirka , Vincent Paquit , Philip Bingham , Singanallur Venkatakrishnan

Computed Tomography (CT) is a technology that reconstructs cross-sectional images using X-ray images taken from multiple directions. In CT, hundreds of X-ray images acquired as the X-ray source and detector rotate around a central axis, are…

Image and Video Processing · Electrical Eng. & Systems 2024-12-05 Shin Kim

This is a review paper on some of the physics, modeling, and iterative algorithms in proton computed tomography (pCT) image reconstruction. The primary challenge in pCT image reconstruction lies in the degraded spatial resolution resulting…

Medical Physics · Physics 2015-10-30 Scott Penfold , Yair Censor

Time-resolved CT is an advanced measurement technique that has been widely used to observe dynamic objects, including periodically varying structures such as hearts, lungs, or hearing structures. To reconstruct these objects from CT…

Medical Physics · Physics 2025-06-05 Qianwei Qu , Christian M. Schlepütz , Marco Stampanoni

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

Detector lag and gantry motion during x-ray exposure and integration both result in azimuthal blurring in CT reconstructions. These effects can degrade image quality both for high-resolution features as well as low-contrast details. In this…

Medical Physics · Physics 2018-05-31 Steven Tilley , Alejandro Sisniega , Jeffrey H. Siewerdsen , J. Webster Stayman