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Algorithm unrolling methods have proven powerful for solving the regularized least squares problem in computational magnetic resonance imaging (MRI). These approaches unfold an iterative algorithm with a fixed number of iterations,…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Junno Yun , Yaşar Utku Alçalar , Mehmet Akçakaya

Magnetic Resonance Fingerprinting (MRF) enables simultaneous mapping of multiple tissue parameters such as T1 and T2 relaxation times. The working principle of MRF relies on varying acquisition parameters pseudo-randomly, so that each…

Image and Video Processing · Electrical Eng. & Systems 2020-12-03 Refik Soyak , Ebru Navruz , Eda Ozgu Ersoy , Gastao Cruz , Claudia Prieto , Andrew P. King , Devrim Unay , Ilkay Oksuz

MR Fingerprinting is a novel quantitative MR technique that could simultaneously provide multiple tissue property maps. When optimizing MRF scans, modeling undersampling errors and field imperfections in cost functions will make the…

Image and Video Processing · Electrical Eng. & Systems 2021-05-26 Siyuan Hu , Stephen Jordan , Rasim Boyacioglu , Ignacio Rozada , Matthias Troyer , Mark Griswold , Debra McGivney , Dan Ma

We study signal processing tasks in which the signal is mapped via some generalized time-frequency transform to a higher dimensional time-frequency space, processed there, and synthesized to an output signal. We show how to approximate such…

Numerical Analysis · Mathematics 2021-09-07 Ron Levie , Haim Avron , Gitta Kutyniok

Quantitative MRI is highly desirable in terms of intrinsic tissue parameters such as T1, T2 and proton density. This approach promises to minimize diagnostic variability and differentiate normal and pathological tissues by comparing tissue…

Medical Physics · Physics 2018-06-21 Qing Lyu , Ge Wang

Quantitative MRI (qMRI) refers to a class of MRI methods for quantifying the spatial distribution of biological tissue parameters. Traditional qMRI methods usually deal separately with artifacts arising from accelerated data acquisition,…

Image and Video Processing · Electrical Eng. & Systems 2025-02-21 Xiaojian Xu , Weijie Gan , Satya V. V. N. Kothapalli , Dmitriy A. Yablonskiy , Ulugbek S. Kamilov

Magnetic Resonance Fingerprinting (MRF) is a time-efficient approach to quantitative MRI for multiparametric tissue mapping. The reconstruction of quantitative maps requires tailored algorithms for removing aliasing artefacts from the…

Image and Video Processing · Electrical Eng. & Systems 2024-12-19 Perla Mayo , Matteo Cencini , Carolin M. Pirkl , Marion I. Menzel , Michela Tosetti , Bjoern H. Menze , Mohammad Golbabaee

Quantitative Magnetic Resonance Imaging (qMRI) provides researchers insight into pathological and physiological alterations of living tissue, with the help of which researchers hope to predict (local) therapeutic efficacy early and…

Applications · Statistics 2008-07-30 Xiaoxi Zhang , Timothy D. Johnson , Roderick J. A. Little , Yue Cao

This study presents a comparison of quantitative MRI methods based on an efficiency metric that quantifies their intrinsic ability to extract information about tissue parameters. Under a regime of unbiased parameter estimates, an intrinsic…

To realize Quantitative MRI (QMRI) with clinically acceptable scan time, acceleration factors achieved by conventional parallel imaging techniques are often inadequate. Further acceleration is possible using model-based reconstruction. We…

Signal Processing · Electrical Eng. & Systems 2022-02-23 Riwaj Byanju , Stefan Klein , Alexandra Cristobal-Huerta , J. A. Hernandez-Tamames , Dirk H. J. Poot

Magnetic Resonance Fingerprinting (MRF) methods typically rely on dictionary matching to map the temporal MRF signals to quantitative tissue parameters. These methods suffer from heavy storage and computation requirements as the dictionary…

Image and Video Processing · Electrical Eng. & Systems 2019-11-25 Dongdong Chen , Mohammad Golbabaee , Pedro A. Gomez , Marion I. Menzel , Mike E. Davies

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

The Magnetic Resonance Fingerprinting (MRF) approach aims to estimate multiple MR or physiological parameters simultaneously with a single fast acquisition sequence. Most of the MRF studies proposed so far have used simple MR sequence types…

Neurons and Cognition · Quantitative Biology 2024-07-16 Antoine Barrier , Thomas Coudert , Aurélien Delphin , Benjamin Lemasson , Thomas Christen

Quantitative susceptibility mapping (QSM) has been increasingly applied in longitudinal studies of neurodegenerative diseases and aging to assess temporal alterations in brain iron and myelin. The accuracy of such investigations depends on…

Quantitative Methods · Quantitative Biology 2026-05-05 Jiye Kim , Hwihun Jeong , Taechang Kim , Eunseon Jeong , Jinhee Jang , Yangsean Choi , Jongho Lee

Magnetic resonance fingerprinting (MRF) can successfully recover quantitative multi-parametric maps of human tissue in a very short acquisition time. Due to their pseudo-random nature, the large spatial undersampling artifacts can be…

Magnetic Resonance Imaging (MRI) is a non-invasive diagnostic and radiotherapy (RT) planning tool, offering detailed insights into the anatomy of the human body. The extensive scan time is stressful for patients, who must remain motionless…

Image and Video Processing · Electrical Eng. & Systems 2023-11-23 Shahinur Alam , Jinsoo Uh , Alexander Dresner , Chia-ho Hua , Khaled Khairy

Magnetic Resonance Imaging (MRI) acquisitions require extensive scan times, limiting patient throughput and increasing susceptibility to motion artifacts. Accelerated parallel MRI techniques reduce acquisition time by undersampling k-space…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Mingi Kang

Magnetic Resonance Imaging (MRI) offers unparalleled soft-tissue contrast but is fundamentally limited by long acquisition times. While deep learning-based accelerated MRI can dramatically shorten scan times, the reconstruction from…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Paul Fischer , Jan Nikolas Morshuis , Thomas Küstner , Christian Baumgartner

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Because of their robustness, efficiency and non-intrusiveness, Monte Carlo methods are probably the most popular approach in uncertainty quantification to computing expected values of quantities of interest (QoIs). Multilevel Monte Carlo…

Numerical Analysis · Mathematics 2022-04-12 Marcus J. Grote , Simon Michel , Fabio Nobile