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A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is missing vital information that prevents its (individual)…

Numerical Analysis · Mathematics 2022-05-13 Yao Xiao , Jan Glaubitz , Anne Gelb , Guohui Song

Recent medical image reconstruction techniques focus on generating high-quality medical images suitable for clinical use at the lowest possible cost and with the fewest possible adverse effects on patients. Recent works have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-01-07 Shijun Liang , Anish Lahiri , Saiprasad Ravishankar

3D Magnetic Resonance Imaging (MRI) is often a trade-off between fast but low-resolution image acquisition and highly detailed but slow image acquisition. Fast imaging is required for targets that move to avoid motion artefacts. This is in…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Steven McDonagh , Benjamin Hou , Konstantinos Kamnitsas , Ozan Oktay , Amir Alansary , Mary Rutherford , Jo V. Hajnal , Bernhard Kainz

The iterative refinement method (IRM) has been very successfully applied in many different fields for examples the modern quantum chemical calculation and CT image reconstruction. It is proved that the refinement method can create an exact…

Medical Physics · Physics 2015-12-23 Kang Yang , Kevin Yang , Xintie Yang , Shuang-Ren Zhao

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 crucial non-invasive imaging modality. In routine clinical practice, multi-stack thick-slice acquisitions are widely used to reduce scan time and motion sensitivity, particularly in challenging…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Kangyuan Zheng , Xuan Cai , Jiangqi Wang , Guixing Fu , Zhuoshuo Li , Yazhou Chen , Xinting Ge , Liangqiong Qu , Mengting Liu

Light spectra are a very important source of information for diverse classification problems, e.g., for discrimination of materials. To lower the cost for acquiring this information, multispectral cameras are used. Several techniques exist…

Image and Video Processing · Electrical Eng. & Systems 2022-09-19 Frank Sippel , Jürgen Seiler , Nils Genser , André Kaup

In spite of its extensive adaptation in almost every medical diagnostic and examinatorial application, Magnetic Resonance Imaging (MRI) is still a slow imaging modality which limits its use for dynamic imaging. In recent years, Parallel…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 George Yiasemis , Chaoping Zhang , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Sparse reconstruction is an important aspect of MRI, helping to reduce acquisition time and improve spatial-temporal resolution. Popular methods are based mostly on compressed sensing (CS), which relies on the random sampling of k-space to…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Marlon E. Bran Lorenzana , Shekhar S. Chandra , Feng Liu

The goal of MRI reconstruction is to restore a high fidelity image from partially observed measurements. This partial view naturally induces reconstruction uncertainty that can only be reduced by acquiring additional measurements. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-02-11 Zizhao Zhang , Adriana Romero , Matthew J. Muckley , Pascal Vincent , Lin Yang , Michal Drozdzal

Applying standard algorithms to sparse data problems in photoacoustic tomography (PAT) yields low-quality images containing severe under-sampling artifacts. To some extent, these artifacts can be reduced by iterative image reconstruction…

Numerical Analysis · Mathematics 2024-12-20 Stephan Antholzer , Johannes Schwab , Robert Nuster , Markus Haltmeier

Most existing bounds for signal reconstruction from compressive measurements make the assumption of additive signal-independent noise. However in many compressive imaging systems, the noise statistics are more accurately represented by…

Information Theory · Computer Science 2018-02-13 Deepak Garg , Pakshal Bohra , Karthik S. Gurumoorthy , Ajit Rajwade

Magnetic Resonance Imaging (MRI) is one of the fields that the compressed sensing theory is well utilized to reduce the scan time significantly leading to faster imaging or higher resolution images. It has been shown that a small fraction…

Information Theory · Computer Science 2014-06-03 Cagdas Bilen , Yao Wang , Ivan Selesnick

Magnetic resonance (MR) image re-parameterization refers to the process of generating via simulations of an MR image with a new set of MRI scanning parameters. Different parameter values generate distinct contrast between different tissues,…

Image and Video Processing · Electrical Eng. & Systems 2024-04-15 Abhijeet Narang , Abhigyan Raj , Mihaela Pop , Mehran Ebrahimi

We study the problem of sparse reconstruction from noisy undersampled measurements when the following two things are available. (1) We are given partial, and partly erroneous, knowledge of the signal's support, denoted by $T$. (2) We are…

Information Theory · Computer Science 2016-11-17 Wei Lu , Namrata Vaswani

Cardiac magnetic resonance imaging (CMR) is vital for diagnosing heart diseases, but long scan time remains a major drawback. To address this, accelerated imaging techniques have been introduced by undersampling k-space, which reduces the…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Donghang Lyu , Chinmay Rao , Marius Staring , Matthias J. P. van Osch , Mariya Doneva , Hildo J. Lamb , Nicola Pezzotti

We present a novel approach to transcranial ultrasound computed tomography that utilizes normalizing flows to improve the speed of imaging and provide Bayesian uncertainty quantification. Our method combines physics-informed methods and…

Image and Video Processing · Electrical Eng. & Systems 2023-03-08 Rafael Orozco , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Tristan van Leeuwen , Felix Herrmann

Acquiring fully-sampled MRI $k$-space data is time-consuming, and collecting accelerated data can reduce the acquisition time. Employing 2D Cartesian-rectilinear subsampling schemes is a conventional approach for accelerated acquisitions;…

Image and Video Processing · Electrical Eng. & Systems 2023-08-11 George Yiasemis , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Magnetic resonance imaging (MRI) is one of the most commonly applied tests in neurology and neurosurgery. However, the utility of MRI is largely limited by its long acquisition time, which might induce many problems including patient…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Xiongchao Chen , Yoshihisa Shinagawa , Zhigang Peng , Gerardo Hermosillo Valadez

Magnetic resonance imaging (MRI) is known to be a slow imaging modality and undersampling in k-space has been used to increase the imaging speed. However, image reconstruction from undersampled k-space data is an ill-posed inverse problem.…

Image and Video Processing · Electrical Eng. & Systems 2019-08-08 Jing Cheng , Haifeng Wang , Leslie Ying , Dong Liang