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The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial…

Numerical Analysis · Mathematics 2015-12-01 Martin Burger , Jan Modersitzki , Sebastian Suhr

Dynamic MRI reconstruction from undersampled measurements is a challenging inverse problem that requires preserving both spatial reconstruction quality and temporal consistency across the frames of the cine series. While recent…

Image and Video Processing · Electrical Eng. & Systems 2026-05-19 Yongliang Sun , Siddhant Gautam , Chaoyan Huang , Nicole Seiberlich , Ismail Alkhouri , Saiprasad Ravishankar

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

Numerical Analysis · Computer Science 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

Magnetic Resonance Imaging allows high resolution data acquisition with the downside of motion sensitivity due to relatively long acquisition times. Even during the acquisition of a single 2D slice, motion can severely corrupt the image.…

Numerical Analysis · Mathematics 2024-04-12 Mathias S. Feinler , Bernadette N. Hahn

Purpose: To develop a framework to reconstruct large-scale volumetric dynamic MRI from rapid continuous and non-gated acquisitions, with applications to pulmonary and dynamic contrast enhanced (DCE) imaging. Theory and Methods: The problem…

In multi-contrast magnetic resonance imaging (MRI), compressed sensing theory can accelerate imaging by sampling fewer measurements within each contrast. The conventional optimization-based models suffer several limitations: strict…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Liyan Sun , Zhiwen Fan , Yue Huang , Xinghao Ding , John Paisley

We study counterfactual classification as a new tool for decision-making under hypothetical (contrary to fact) scenarios. We propose a doubly-robust nonparametric estimator for a general counterfactual classifier, where we can incorporate…

Machine Learning · Computer Science 2023-01-31 Kwangho Kim , Edward H. Kennedy , José R. Zubizarreta

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

This dissertation is devoted to provide advanced nonconvex nonsmooth variational models of (Magnetic Resonance Image) MRI reconstruction, efficient learnable image reconstruction algorithms and parameter training algorithms that improve the…

Optimization and Control · Mathematics 2023-03-06 Wanyu Bian

A number of reconstruction methods have been proposed recently for accelerated functional Magnetic Resonance Imaging (fMRI) data collection. However, existing methods suffer with the challenge of greater artifacts at high acceleration…

Medical Physics · Physics 2017-11-03 Priya Aggarwal , Anubha Gupta

Compressive sensing (CS) reconstructs images from sub-Nyquist measurements by solving a sparsity-regularized inverse problem. Traditional CS solvers use iterative optimizers with hand crafted sparsifiers, while early data-driven methods…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Pamuditha Somarathne , Tharindu Wickremasinghe , Amashi Niwarthana , A. Thieshanthan , Chamira U. S. Edussooriya , Dushan N. Wadduwage

With the advent of multi-coil imaging and compressed sensing, a number of model based reconstruction algorithms have been created. They incorporate a multitude of different regularization functions based on physics, observed phenomenology,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Nicholas Dwork , Ethan M. I. Johnson , Daniel O'Connor , Jeremy W. Gordon , Adam B. Kerr , Corey A. Baron , John M. Pauly , Peder E. Z. Larson

The present paper introduces a method for substantial reduction of the number of diffusion encoding gradients required for reliable reconstruction of HARDI signals. The method exploits the theory of compressed sensing (CS), which…

Information Theory · Computer Science 2010-09-21 Oleg Michailovich , Yogesh Rathi , Sudipto Dolui

Magnetic resonance imaging (MRI) has revolutionized medical imaging, providing a non-invasive and highly detailed look into the human body. However, the long acquisition times of MRI present challenges, causing patient discomfort, motion…

Medical Physics · Physics 2026-01-16 Mojtaba Safari , Zach Eidex , Chih-Wei Chang , Richard L. J. Qiu , Xiaofeng Yang

This paper presents a new method to solve a dynamic sensor fusion problem. We consider a large number of remote sensors which measure a common Gauss-Markov process and encoders that transmit the measurements to a data fusion center through…

Optimization and Control · Mathematics 2022-10-19 Hyunho Jung , Ali Reza Pedram , Travis Craig Cuvelier , Takashi Tanaka

It is of importance to develop statistical techniques to analyze high-dimensional data in the presence of both complex dependence and possible outliers in real-world applications such as imaging data analyses. We propose a new robust…

Methodology · Statistics 2021-10-01 Bingyuan Liu , Qi Zhang , Lingzhou Xue , Peter X. K. Song , Jian Kang

Improving the image resolution and acquisition speed of magnetic resonance imaging (MRI) is a challenging problem. There are mainly two strategies dealing with the speed-resolution trade-off: (1) $k$-space undersampling with high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Wenqi Huang , Sen Jia , Ziwen Ke , Zhuo-Xu Cui , Jing Cheng , Yanjie Zhu , Dong Liang

Diffusion Tensor Cardiac Magnetic Resonance (DT-CMR) enables us to probe the microstructural arrangement of cardiomyocytes within the myocardium in vivo and non-invasively, which no other imaging modality allows. This innovative technology…

Image and Video Processing · Electrical Eng. & Systems 2022-06-22 Michael Tanzer , Pedro Ferreira , Andrew Scott , Zohya Khalique , Maria Dwornik , Dudley Pennell , Guang Yang , Daniel Rueckert , Sonia Nielles-Vallespin

Magnetic resonance imaging is a powerful imaging modality that can provide versatile information but it has a bottleneck problem "slow imaging speed". Reducing the scanned measurements can accelerate MR imaging with the aid of powerful…

Image and Video Processing · Electrical Eng. & Systems 2020-12-17 Shanshan Wang , Taohui Xiao , Qiegen Liu , Hairong Zheng

Magnetic Resonance Imaging (MRI) is a powerful medical imaging modality, but unfortunately suffers from long scan times which, aside from increasing operational costs, can lead to image artifacts due to patient motion. Motion during the…

Image and Video Processing · Electrical Eng. & Systems 2023-10-02 Brett Levac , Sidharth Kumar , Ajil Jalal , Jonathan I. Tamir