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In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical proximal algorithms for image reconstruction. It is known that a broad class of linear denoisers can be expressed as the proximal operator of a convex…

Optimization and Control · Mathematics 2024-11-05 Arghya Sinha , Kunal N Chaudhury

Snapshot compressive imaging (SCI) refers to compressive imaging systems where multiple frames are mapped into a single measurement, with video compressive imaging and hyperspectral compressive imaging as two representative applications.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Yang Liu , Xin Yuan , Jinli Suo , David J. Brady , Qionghai Dai

Magnetic Resonance Imaging (MRI) is a widely used imaging technique, however it has the limitation of long scanning time. Though previous model-based and learning-based MRI reconstruction methods have shown promising performance, most of…

Image and Video Processing · Electrical Eng. & Systems 2024-05-10 Yue Cai , Yu Luo , Jie Ling , Shun Yao

We aim at the solution of inverse problems in imaging, by combining a penalized sparse representation of image patches with an unconstrained smooth one. This allows for a straightforward interpretation of the reconstruction. We formulate…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Stanislas Ducotterd , Sebastian Neumayer , Michael Unser

Parallel imaging techniques reduce magnetic resonance imaging (MRI) scan time but image quality degrades as the acceleration factor increases. In clinical practice, conservative acceleration factors are chosen because no mechanism exists to…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Ilias I. Giannakopoulos , Lokesh B Gautham Muthukumar , Yvonne W. Lui , Riccardo Lattanzi

In this paper, the problem of Magnetic Resonance (MR) image reconstruction from partial Fourier samples has been considered. To this aim, we leverage the evidence that MR images are sparser than their zero-filled reconstructed ones from…

Information Theory · Computer Science 2015-08-19 Fateme Ghayem , Farokh Marvasti

The image reconstruction problem of the tomographic imaging technique magnetic particle imaging (MPI) requires the solution of a linear inverse problem. One prerequisite for this task is that the imaging operator that describes the mapping…

Computational Physics · Physics 2019-07-12 Tobias Kluth , Patryk Szwargulski , Tobias Knopp

Much research has been devoted to the problem of restoring Poissonian images, namely for medical and astronomical applications. However, the restoration of these images using state-of-the-art regularizers (such as those based on multiscale…

Optimization and Control · Mathematics 2012-10-10 Mário A. T. Figueiredo , José M. Bioucas-Dias

Purpose: To introduce a novel deep learning based approach for fast and high-quality dynamic multi-coil MR reconstruction by learning a complementary time-frequency domain network that exploits spatio-temporal correlations simultaneously…

Image and Video Processing · Electrical Eng. & Systems 2021-06-21 Chen Qin , Jinming Duan , Kerstin Hammernik , Jo Schlemper , Thomas Küstner , René Botnar , Claudia Prieto , Anthony N. Price , Joseph V. Hajnal , Daniel Rueckert

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

Magnetic resonance (MR)-$T_2^*$ mapping is widely used to study hemorrhage, calcification and iron deposition in various clinical applications, it provides a direct and precise mapping of desired contrast in the tissue. However, the long…

Image and Video Processing · Electrical Eng. & Systems 2020-08-06 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

Reconstructing perceived images from human brain activity monitored by functional magnetic resonance imaging (fMRI) is hard, especially for natural images. Existing methods often result in blurry and unintelligible reconstructions with low…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Mali Halac , Murat Isik , Hasan Ayaz , Anup Das

The motivation of this work is the detection of cerebrovascular accidents by microwave tomographic imaging. This requires the solution of an inverse problem relying on a minimization algorithm (for example, gradient-based), where successive…

Computational Engineering, Finance, and Science · Computer Science 2020-03-23 P. -H. Tournier , I. Aliferis , M. Bonazzoli , M. de Buhan , M. Darbas , V. Dolean , F. Hecht , P. Jolivet , I. El Kanfoud , C. Migliaccio , F. Nataf , C. Pichot , S. Semenov

Recovering corrupted images is one of the most challenging problems in image processing. Among various restoration tasks, blind image deblurring has been extensively studied due to its practical importance and inherent difficulty. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Heng Zhang , Reza Parvaz , Rui Yang

Reconstructing high-quality images from substantially undersampled k-space data for accelerated MRI presents a challenging ill-posed inverse problem. While supervised deep learning has revolutionized this field, it relies heavily on large…

Image and Video Processing · Electrical Eng. & Systems 2025-12-22 Xinzhe Luo , Yingzhen Li , Chen Qin

Parallel imaging has been an essential technique to accelerate MR imaging. Nevertheless, the acceleration rate is still limited due to the ill-condition and challenges associated with the undersampled reconstruction. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2019-08-07 Yanxia Chen , Taohui Xiao , Cheng Li , Qiegen Liu , Shanshan Wang

We consider the problem of reconstructing an image from compressive measurements using a multi-resolution grid. In this context, the reconstructed image is divided into multiple regions, each one with a different resolution. This problem…

Computer Vision and Pattern Recognition · Computer Science 2016-02-19 Adriana Gonzalez , Hong Jiang , Gang Huang , Laurent Jacques

Magnetic Particle Imaging is an emerging imaging modality through which it is possible to detect tracers containing superparamagnetic nanoparticles. The exposure of the particles to dynamic magnetic fields generates a non-linear response…

Numerical Analysis · Mathematics 2024-06-19 Vladyslav Gapyak , Thomas März , Andreas Weinmann

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

This article presents a novel undersampled magnetic resonance imaging (MRI) technique that leverages the concept of Neural Radiance Field (NeRF). With radial undersampling, the corresponding imaging problem can be reformulated into an image…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Tae Jun Jang , Chang Min Hyun