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Reconstructing high-quality magnetic resonance images (MRI) from undersampled raw data is of great interest from both technical and clinical point of views. To this date, however, it is still a mathematically and computationally challenging…

Numerical Analysis · Mathematics 2021-09-01 T. Schmoderer , A. I Aviles-Rivero , V. Corona , N. Debroux , C-B. Schönlieb

Supervised Deep-Learning (DL)-based reconstruction algorithms have shown state-of-the-art results for highly-undersampled dynamic Magnetic Resonance Imaging (MRI) reconstruction. However, the requirement of excessive high-quality…

Image and Video Processing · Electrical Eng. & Systems 2025-11-11 Jie Feng , Ruimin Feng , Qing Wu , Zhiyong Zhang , Yuyao Zhang , Hongjiang Wei

Implicit Neural Representations (INRs) aim to parameterize discrete signals through implicit continuous functions. However, formulating each image with a separate neural network~(typically, a Multi-Layer Perceptron (MLP)) leads to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Wenyong Zhou , Taiqiang Wu , Zhengwu Liu , Yuxin Cheng , Chen Zhang , Ngai Wong

One important property of imaging modalities and related applications is the resolution of image reconstructions which relies on various factors such as instrumentation or data processing. Restrictions in resolution can have manifold…

Numerical Analysis · Mathematics 2020-12-30 Tobias Kluth , Christine Bathke , Ming Jiang , Peter Maass

Conventional Magnetic Resonance Imaging (MRI) is hampered by long scan times and only qualitative image contrasts that prohibit a direct comparison between different systems. To address these limitations, model-based reconstructions…

Image and Video Processing · Electrical Eng. & Systems 2022-10-24 Xiaoqing Wang , Zhengguo Tan , Nick Scholand , Volkert Roeloffs , Martin Uecker

Purpose: Although recent deep energy-based generative models (EBMs) have shown encouraging results in many image generation tasks, how to take advantage of the self-adversarial cogitation in deep EBMs to boost the performance of Magnetic…

Image and Video Processing · Electrical Eng. & Systems 2021-09-10 Yu Guan , Zongjiang Tu , Shanshan Wang , Qiegen Liu , Yuhao Wang , Dong Liang

Undersampling the k-space during MR acquisitions saves time, however results in an ill-posed inversion problem, leading to an infinite set of images as possible solutions. Traditionally, this is tackled as a reconstruction problem by…

Image and Video Processing · Electrical Eng. & Systems 2022-02-10 Kerem C. Tezcan , Neerav Karani , Christian F. Baumgartner , Ender Konukoglu

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

Magnetic Resonance Imaging (MRI) has long been considered to be among "the gold standards" of diagnostic medical imaging. The long acquisition times, however, render MRI prone to motion artifacts, let alone their adverse contribution to the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Tomer Weiss , Ortal Senouf , Sanketh Vedula , Oleg Michailovich , Michael Zibulevsky , Alex Bronstein

Purpose: Long scan time in phase encoding for forming complete K-space matrices is a critical drawback of MRI, making patients uncomfortable and wasting important time for diagnosing emergent diseases. This paper aims to reducing the scan…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Yiming Liu , Yanwei Pang , Ruiqi Jin , Zhenchang Wang

Magnetic Resonance Imaging (MRI) is a widely utilized diagnostic tool in clinical settings, but its application is limited by the relatively long acquisition time. As a result, fast MRI reconstruction has become a significant area of…

Image and Video Processing · Electrical Eng. & Systems 2025-06-09 Lixuan Rao , Xinlin Zhang , Yiman Huang , Tao Tan , Tong Tong

Over the past decade, reflection matrix microscopy (RMM) and advanced image reconstruction algorithms have emerged to address the fundamental imaging depth limitations of optical microscopy in thick biological tissues and complex media. In…

Optics · Physics 2024-07-03 Sungsam Kang , Seokchan Yoon , Wonshik Choi

High resolution magnetic resonance~(MR) imaging~(MRI) is desirable in many clinical applications, however, there is a trade-off between resolution, speed of acquisition, and noise. It is common for MR images to have worse through-plane…

Image and Video Processing · Electrical Eng. & Systems 2018-02-27 Can Zhao , Aaron Carass , Blake E. Dewey , Jerry L. Prince

Medical imaging is an invaluable resource in medicine as it enables to peer inside the human body and provides scientists and physicians with a wealth of information indispensable for understanding, modelling, diagnosis, and treatment of…

Image and Video Processing · Electrical Eng. & Systems 2022-08-25 Hanene Ben Yedder , Ben Cardoen , Ghassan Hamarneh

Imaging in thick biological tissues is often degraded by sample-induced aberrations, which reduce image quality and resolution, particularly in super-resolution techniques. While hardware-based adaptive optics, which correct aberrations…

Magnetic resonance imaging (MRI) is an essential medical tool with inherently slow data acquisition process. Slow acquisition process requires patient to be long time exposed to scanning apparatus. In recent years significant efforts are…

Computer Vision and Pattern Recognition · Computer Science 2015-03-05 Jelena Badnjar

Magnetic Resonance (MR) Fingerprinting is an emerging multi-parametric quantitative MR imaging technique, for which image reconstruction methods utilizing low-rank and subspace constraints have achieved state-of-the-art performance.…

Image and Video Processing · Electrical Eng. & Systems 2023-05-26 Hengfa Lu , Huihui Ye , Lawrence L. Wald , Bo Zhao

We present a novel approach for super-resolution that utilizes implicit neural representation (INR) to effectively reconstruct and enhance low-resolution videos and images. By leveraging the capacity of neural networks to implicitly encode…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Mary Aiyetigbo , Wanqi Yuan , Feng Luo , Nianyi Li

In this work, we propose Regularization-by-Equivariance (REV), a novel structure-adaptive regularization scheme for solving imaging inverse problems under incomplete measurements. This regularization scheme utilizes the equivariant…

Optimization and Control · Mathematics 2022-02-15 Junqi Tang

Differentiable rendering has been widely adopted in computer graphics as a powerful approach to inverse problems, enabling efficient gradient-based optimization by differentiating the image formation process with respect to millions of…