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We propose a novel method to accurately reconstruct a set of images representing a single scene from few linear multi-view measurements. Each observed image is modeled as the sum of a background image and a foreground one. The background…

Computer Vision and Pattern Recognition · Computer Science 2013-09-19 Gilles Puy , Pierre Vandergheynst

Multi-contrast MRI sequences allow for the acquisition of images with varying tissue contrast within a single scan. The resulting multi-contrast images can be used to extract quantitative information on tissue microstructure. To make such…

Image and Video Processing · Electrical Eng. & Systems 2025-09-08 Natascha Niessen , Carolin M. Pirkl , Ana Beatriz Solana , Hannah Eichhorn , Veronika Spieker , Wenqi Huang , Tim Sprenger , Marion I. Menzel , Julia A. Schnabel

The discovery of the theory of compressed sensing brought the realisation that many inverse problems can be solved even when measurements are "incomplete". This is particularly interesting in magnetic resonance imaging (MRI), where long…

Fast Magnetic Resonance Imaging (MRI) is highly in demand for many clinical applications in order to reduce the scanning cost and improve the patient experience. This can also potentially increase the image quality by reducing the motion…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Simiao Yu , Hao Dong , Guang Yang , Greg Slabaugh , Pier Luigi Dragotti , Xujiong Ye , Fangde Liu , Simon Arridge , Jennifer Keegan , David Firmin , Yike Guo

Parallel imaging is a commonly used technique to accelerate magnetic resonance imaging (MRI) data acquisition. Mathematically, parallel MRI reconstruction can be formulated as an inverse problem relating the sparsely sampled k-space…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Ruimin Feng , Qing Wu , Jie Feng , Huajun She , Chunlei Liu , Yuyao Zhang , Hongjiang Wei

MR imaging is a valuable diagnostic tool allowing to non-invasively visualize patient anatomy and pathology with high soft-tissue contrast. However, MRI acquisition is typically time-consuming, leading to patient discomfort and increased…

Image and Video Processing · Electrical Eng. & Systems 2025-12-23 Jan Nikolas Morshuis , Matthias Hein , Christian F. Baumgartner

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

Dynamic Magnetic Resonance Imaging (MRI) is a crucial non-invasive method used to capture the movement of internal organs and tissues, making it a key tool for medical diagnosis. However, dynamic MRI faces a major challenge: long…

Image and Video Processing · Electrical Eng. & Systems 2024-09-20 Tamir Shor , Chaim Baskin , Alex Bronstein

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

Information Theory · Computer Science 2016-02-03 Yen-Huan Li , Volkan Cevher

22. Shortening acquisition time and reducing the motion-artifact are two of the most critical issues in MRI. As a promising solution, high-quality MRI image restoration provides a new approach to achieve higher resolution without costing…

Image and Video Processing · Electrical Eng. & Systems 2021-02-02 Hao Li , Jianan Liu

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

Magnetic resonance imaging (MRI) is a versatile imaging technique that allows different contrasts depending on the acquisition parameters. Many clinical imaging studies acquire MRI data for more than one of these contrasts---such as for…

Numerical Analysis · Mathematics 2017-10-06 Matthias J. Ehrhardt , Marta M. Betcke

In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

Numerical Analysis · Mathematics 2018-03-28 Martin Burger , Hendrik Dirks , Lena Frerking , Andreas Hauptmann , Tapio Helin , Samuli Siltanen

Magnetic resonance imaging (MRI) is highly susceptible to patient motion due to its relatively long acquisition times and the fact that data are acquired sequentially in k-space. Even small patient movements introduce phase inconsistencies…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Antonio Ortiz-Gonzalez , Erich Kobler , Lukas Schletter , Alexander Effland

Motion artifacts in Magnetic Resonance Imaging (MRI) arise due to relatively long acquisition times and can compromise the clinical utility of acquired images. Traditional motion correction methods often fail to address severe motion,…

Image and Video Processing · Electrical Eng. & Systems 2024-07-04 Ziad Al-Haj Hemidi , Christian Weihsbach , Mattias P. Heinrich

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic tool that provides excellent soft-tissue contrast without the use of ionizing radiation. Compared to other clinical imaging modalities (e.g., CT or ultrasound), however, the data…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Rizwan Ahmad , Charles A. Bouman , Gregery T. Buzzard , Stanley Chan , Sizhou Liu , Edward T. Reehorst , Philip Schniter

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

The key to dynamic or multi-contrast magnetic resonance imaging (MRI) reconstruction lies in exploring inter-frame or inter-contrast information. Currently, the unrolled model, an approach combining iterative MRI reconstruction steps with…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Bingyu Xin , Meng Ye , Leon Axel , Dimitris N. Metaxas

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

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li