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Magnetic resonance imaging (MRI) exam protocols consist of multiple contrast-weighted images of the same anatomy to emphasize different tissue properties. Due to the long acquisition times required to collect fully sampled k-space…

Image and Video Processing · Electrical Eng. & Systems 2023-06-08 Brett Levac , Ajil Jalal , Kannan Ramchandran , Jonathan I. Tamir

X-ray imaging, based on penetration, enables detailed visualization of internal structures. Building on this capability, existing implicit 3D reconstruction methods have adapted the NeRF model and its variants for internal CT…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Qinglei Cao , Ziyao Tang , Xiaoqin Tang

In the recent years, there has been a significant improvement in the quality of samples produced by (deep) generative models such as variational auto-encoders and generative adversarial networks. However, the representation capabilities of…

Image and Video Processing · Electrical Eng. & Systems 2026-03-31 Shady Abu Hussein , Tom Tirer , Raja Giryes

Compressed sensing is an image reconstruction technique to achieve high-quality results from limited amount of data. In order to achieve this, it utilizes prior knowledge about the samples that shall be reconstructed. Focusing on image…

Compressed sensing is an imaging paradigm that allows one to invert an underdetermined linear system by imposing the a priori knowledge that the sought after solution is sparse (i.e., mostly zeros). Previous works have shown that if one…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Nicholas Dwork , Erin K. Englund

This paper proposes a new two-step procedure for sparse-view tomographic image reconstruction. It is called RISING, since it combines an early-stopped Rapid Iterative Solver with a subsequent Iteration Network-based Gaining step. So far,…

Numerical Analysis · Mathematics 2022-01-25 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini

A non-destructive testing (NDT) application of X-ray computed tomography (CT) is inspection of subsea pipes in operation via 2D cross-sectional scans. Data acquisition is time-consuming and costly due to the challenging subsea environment.…

Numerical Analysis · Mathematics 2022-09-22 Silja L. Christensen , Nicolai A. B. Riis , Felipe Uribe , Jakob S. Jørgensen

Compressed sensing (CS) leverages the sparsity prior to provide the foundation for fast magnetic resonance imaging (fastMRI). However, iterative solvers for ill-posed problems hinder their adaption to time-critical applications. Moreover,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-16 Jingshuai Liu , Mehrdad Yaghoobi

Advances in compressive sensing provided reconstruction algorithms of sparse signals from linear measurements with optimal sample complexity, but natural extensions of this methodology to nonlinear inverse problems have been met with…

Information Theory · Computer Science 2020-08-25 Paul Hand , Oscar Leong , Vladislav Voroninski

Purpose: In this work, we present a workflow to construct generic and robust generative image priors from magnitude-only images. The priors can then be used for regularization in reconstruction to improve image quality. Methods: The…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Guanxiong Luo , Xiaoqing Wang , Mortiz Blumenthal , Martin Schilling , Erik Hans Ulrich Rauf , Raviteja Kotikalapudi , Niels Focke , Martin Uecker

High spatiotemporal resolution dynamic magnetic resonance imaging (MRI) is a powerful clinical tool for imaging moving structures as well as to reveal and quantify other physical and physiological dynamics. The low speed of MRI necessitates…

Image and Video Processing · Electrical Eng. & Systems 2019-10-14 Yuhua Chen , Jaime L. Shaw , Yibin Xie , Debiao Li , Anthony G. Christodoulou

Recently, neural implicit functions have demonstrated remarkable results in the field of multi-view reconstruction. However, most existing methods are tailored for dense views and exhibit unsatisfactory performance when dealing with sparse…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Han Huang , Yulun Wu , Junsheng Zhou , Ge Gao , Ming Gu , Yu-Shen Liu

Image prior modeling is the key issue in image recovery, computational imaging, compresses sensing, and other inverse problems. Recent algorithms combining multiple effective priors such as the sparse or low-rank models, have demonstrated…

Image and Video Processing · Electrical Eng. & Systems 2020-03-31 Bihan Wen , Yanjun Li , Yuqi Li , Yoram Bresler

Multi-View Stereo plays a pivotal role in civil engineering by facilitating 3D modeling, precise engineering surveying, quantitative analysis, as well as monitoring and maintenance. It serves as a valuable tool, offering high-precision and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Hongxin Peng , Yongjian Liao , Weijun Li , Chuanyu Fu , Guoxin Zhang , Ziquan Ding , Zijie Huang , Qiku Cao , Shuting Cai

In many applications of tomography, the acquired projections are either limited in number or contain a significant amount of noise. In these cases, standard reconstruction methods tend to produce artifacts that can make further analysis…

Numerical Analysis · Mathematics 2016-04-11 D. M. Pelt , K. J. Batenburg

We propose a snapshots-based method to compute reduction subspaces for physics-based simulations. Our method is applicable to any mesh with some artistic prior knowledge of the solution and only requires a record of existing solutions…

Dynamical Systems · Mathematics 2025-02-12 Shaimaa Monem , Peter Benner , Christian Lessig

Ill-posed inverse problems in imaging remain an active research topic in several decades, with new approaches constantly emerging. Recognizing that the popular dictionary learning and convolutional sparse coding are both essentially…

Image and Video Processing · Electrical Eng. & Systems 2019-10-25 Zhuonan He , Jinjie Zhou , Dong Liang , Yuhao Wang , Qiegen Liu

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

Numerical Analysis · Mathematics 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

Generalizable rendering of an animatable human avatar from sparse inputs relies on data priors and inductive biases extracted from training on large data to avoid scene-specific optimization and to enable fast reconstruction. This raises…

Computer Vision and Pattern Recognition · Computer Science 2025-02-14 Jing Wen , Alexander G. Schwing , Shenlong Wang

Objective: Improve the reconstructed image with fast and multi-class dictionaries learning when magnetic resonance imaging is accelerated by undersampling the k-space data. Methods: A fast orthogonal dictionary learning method is introduced…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Zhifang Zhan , Jian-Feng Cai , Di Guo , Yunsong Liu , Zhong Chen , Xiaobo Qu