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This paper proposes a new method for joint design of radiofrequency (RF) and gradient waveforms in Magnetic Resonance Imaging (MRI), and applies it to the design of 3D spatially tailored saturation and inversion pulses. The joint design of…

Image and Video Processing · Electrical Eng. & Systems 2021-05-27 Tianrui Luo , Douglas C. Noll , Jeffrey A. Fessler , Jon-Fredrik Nielsen

A magnitude-least-squares radiofrequency pulse design algorithm is reported which uses interleaved exact and stochastically-generated inexact updates to escape local minima and find low-cost solutions. Inexact updates are performed using a…

Medical Physics · Physics 2024-07-23 Jonathan B. Martin , Charlotte R. Sappo , Benjamin M. Hardy , William A. Grissom

Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging modality based on non-ionizing radiation which gives excellent images and soft tissue contrast of living tissues. We consider the modified Bloch problem as a model of…

Numerical Analysis · Mathematics 2017-09-12 Arijit Hazra , Gert Lube , Hans-Georg Raumer

Magnetic Resonance Fingerprinting (MRF) is a method to extract quantitative tissue properties such as T1 and T2 relaxation rates from arbitrary pulse sequences using conventional magnetic resonance imaging hardware. MRF pulse sequences have…

Passive resonators have been widely used in MRI to manipulate RF field distributions. However, optimizing these structures using full-wave electromagnetic simulations is computationally prohibitive, particularly for large passive resonator…

Medical Physics · Physics 2025-09-18 Zhonghao Zhang , Ming Lu , Hao Liang , Zhongliang Zu , Yi Gu , Xiao Wang , Yuankai Huo , John C. Gore , Xinqiang Yan

The radiofrequency (RF) transmit field is severely inhomogeneous at ultrahigh field due to both RF penetration and RF coil design issues. This particularly impairs image quality for sequences that use inversion pulses such as magnetization…

Computational Engineering, Finance, and Science · Computer Science 2010-07-05 Aaron C Hurley , Ali Al-Radaideh , Bai Li , Uwe Aickelin , Ron Coxon , Paul Glover , Penny A. Gowland

Nuclear magnetic resonance signal dynamics as described by the Bloch equations are highly complex and often are without closed form solutions. This is especially the case for quantitative magnetic resonance fingerprinting (MRF) scans in…

Medical Physics · Physics 2020-10-05 Nikolai J. Mickevicius , Andrew S. Nencka , Eric S. Paulson

Purpose: Conventional MRI is relying on the assumption of the magnetic field being homogeneous in direction and amplitude. However, with the growing interest in portable, affordable point-of-care MRI systems, these assumptions do not…

Medical Physics · Physics 2026-02-17 Fabian Bschorr , Thomas Hüfken , Tobias Lobmeyer , Volker Rasche

In research activities regarding Magnetic Resonance Imaging in medicine, simulation tools with a universal approach are rare. Usually, simulators are developed and used which tend to be restricted to a particular, small range of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-30 Jürgen Kürsch

Nuclear magnetic resonance (NMR) concepts are rooted in quantum mechanics, but MR imaging principles are well described and more easily grasped using classical ideas and formalisms such as Larmor precession and the phenomenological Bloch…

Medical Physics · Physics 2020-09-08 ML Lauzon

Mathematical models are becoming increasingly important in magnetic resonance imaging (MRI), as they provide a mechanistic approach for making a link between tissue microstructure and signals acquired using the medical imaging instrument.…

Medical Physics · Physics 2021-06-10 Viktor Vegh , Shahrzad Moinian , Qianqian Yang , David C. Reutens

Two-dimensional, resonant scanners have been utilized in a large variety of imaging modules due to their compact form, low power consumption, large angular range, and high speed. However, resonant scanners have problems with non-optimal and…

Image and Video Processing · Electrical Eng. & Systems 2023-05-05 Zhanghao Sun , Ronald Quan , Olav Solgaard

Functional magnetic resonance imaging (fMRI) technology is popularly used in many fields for studying how the brain reacts to mental stimuli. The identification of optimal fMRI experimental designs is crucial for rendering precise…

Statistics Theory · Mathematics 2015-10-30 Ching-Shui Cheng , Ming-Hung Kao

Quantitative magnetic resonance imaging (qMRI) is concerned with estimating (in physical units) values of magnetic and tissue parameters e.g., relaxation times $T_1$, $T_2$, or proton density $\rho$. Recently in [Ma et al., Nature, 2013],…

Optimization and Control · Mathematics 2019-03-29 Guozhi Dong , Michael Hintermüller , Kostas Papafitsoros

Magnetic Resonance Fingerprinting (MRF) reconstructs tissue maps based on a sequence of very highly undersampled images. In order to be able to perform MRF reconstruction, state-of-the-art MRF methods rely on priors such as the MR physics…

Image and Video Processing · Electrical Eng. & Systems 2020-10-20 Simon Arberet , Xiao Chen , Boris Mailhe , Peter Speier , Gregor Koerzdoerfer , Mathias Nittka , Heiko Meyer , Mariappan S. Nadar

Magnetic resonance fingerprinting (MRF) is one novel fast quantitative imaging framework for simultaneous quantification of multiple parameters with pseudo-randomized acquisition patterns. The accuracy of the resulting multi-parameters is…

Medical Physics · Physics 2019-04-05 Haifeng Wang , Lixian Zou , Huihui Ye , Shi Su , Yuchou Chang , Xin Liu , Dong Liang

Magnetic Resonance Spectroscopy (MRS) offers a unique non-invasive window into metabolic processes, yet its potential remains strictly constrained by severe spectral congestion and intrinsic insensitivity. Traditional pulse sequence design,…

Quantum Physics · Physics 2026-04-03 Gaocheng Fu , Shiji Zhang , Kai Huang , Xue Yang , Huilin Zhang , Daxiu Wei , Ye-Feng Yao

Proper X-ray radiation design (via dynamic fluence field modulation, FFM) allows to reduce effective radiation dose in computed tomography without compromising image quality. It takes into account patient anatomy, radiation sensitivity of…

Medical Physics · Physics 2024-01-02 Anatoli Juditsky , Arkadi Nemirovski , Michael Zibulevsky

Response functions of resonant circuits create ringing artefacts if their input changes rapidly. When physical limits of electromagnetic spectroscopies are explored, this creates two types of problems. Firstly, simulation: the system must…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Uluk Rasulov , Anupama Acharya , Marina Carravetta , Guinevere Mathies , Ilya Kuprov

Magnetic Resonance Force Microscopy (MRFM) describes a range of approaches to detect nuclear spins with mechanical sensors. MRFM has the potential to enable magnetic resonance imaging (MRI) with near-atomic spatial resolution, opening up…

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