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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

Finding the minimum spanning tree (MST) of a graph is an important task in computer vision, as it enables a sparse and low-cost representation of connectivity among elements (such as superpixels, points, or regions), which is useful for…

This paper introduces an innovative approach for signal reconstruction using data acquired through multi-input-multi-output (MIMO) sampling. First, we show that it is possible to perfectly reconstruct a set of periodic band-limited signals…

Information Theory · Computer Science 2024-09-09 Dong Cheng , Xiaoxiao Hu , Kit Ian Kou

Purpose: To propose a novel deep learning-based method called RG-Net (reconstruction and generation network) for highly accelerated MR parametric mapping by undersampling k-space and reducing the acquired contrast number simultaneously.…

Image and Video Processing · Electrical Eng. & Systems 2021-12-03 Yanjie Zhu , Haoxiang Li , Yuanyuan Liu , Muzi Guo , Guanxun Cheng , Gang Yang , Haifeng Wang , Dong Liang

Quantum state tomography provides a fundamental framework for reconstructing quantum states. When the measurement data are not informationally complete, the observed statistics admit multiple compatible density matrices, making the…

Quantum Physics · Physics 2026-05-01 V. A. Penas , M. Losada , D. Tielas , F. Holik

Novel methods for quantitative, transient-state multiparametric imaging are increasingly being demonstrated for assessment of disease and treatment efficacy. Here, we build on these by assessing the most common Non-Cartesian readout…

When working with quantum states, analysis of the final quantum state generated through probabilistic measurements is essential. This analysis is typically conducted by constructing the density matrix from either partial or full tomography…

Quantum Physics · Physics 2025-01-14 Rohit Prasad , Pratyay Ghosh , Ronny Thomale , Tobias Huber-Loyola

Quantitative MR imaging is increasingly favoured for its richer information content and standardised measures. However, computing quantitative parameter maps, such as those encoding longitudinal relaxation rate (R1), apparent transverse…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Yael Balbastre , Mikael Brudfors , Michela Azzarito , Christian Lambert , Martina F. Callaghan , John Ashburner

Quantum state tomography (QST), the process of reconstructing some unknown quantum state $\hat\rho$ from repeated measurements on copies of said state, is a foundationally important task in the context of quantum computation and simulation.…

Quantum Physics · Physics 2025-10-21 Nathan Keenan , John Goold , Alex Nico-Katz

Quantum state tomography (QST) is essential for validating quantum devices but suffers from exponential scaling in system size. Neural-network quantum states, such as Restricted Boltzmann Machines (RBMs), can efficiently parameterize…

Quantum Physics · Physics 2026-01-30 Simon Tonner , Viet T. Tran , Richard Kueng

Magnetic Resonance Fingerprinting (MRF) is a new approach to quantitative magnetic resonance imaging that allows simultaneous measurement of multiple tissue properties in a single, time-efficient acquisition. Standard MRF reconstructs…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Ilkay Oksuz , Gastao Cruz , James Clough , Aurelien Bustin , Nicolo Fuin , Rene M. Botnar , Claudia Prieto , Andrew P. King , Julia A. Schnabel

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

Synthetic Magnetic Resonance (MR) imaging predicts images at new design parameter settings from a few observed MR scans. Model-based methods, that use both the physical and statistical properties underlying the MR signal and its…

Applications · Statistics 2023-08-25 Subrata Pal , Somak Dutta , Ranjan Maitra

Parallel magnetic resonance imaging has served as an effective and widely adopted technique for accelerating scans. The advent of sparse sampling offers aggressive acceleration, allowing flexible sampling and better reconstruction.…

Medical Physics · Physics 2019-09-09 Xinlin Zhang , Di Guo , Yiman Huang , Ying Chen , Liansheng Wang , Feng Huang , Xiaobo Qu

Quantum state tomography (QST) aiming at reconstructing the density matrix of a quantum state plays an important role in various emerging quantum technologies. Recognizing the challenges posed by imperfect measurement data, we develop a…

Quantum Physics · Physics 2025-03-31 Hailan Ma , Daoyi Dong , Ian R. Petersen , Chang-Jiang Huang , Guo-Yong Xiang

Magnetic resonance fingerprinting (MRF) quantifies multiple nuclear magnetic resonance parameters in a single and fast acquisition. Standard MRF reconstructs parametric maps using dictionary matching, which lacks scalability due to…

Computer Vision and Pattern Recognition · Computer Science 2019-06-06 Fabian Balsiger , Amaresha Shridhar Konar , Shivaprasad Chikop , Vimal Chandran , Olivier Scheidegger , Sairam Geethanath , Mauricio Reyes

Purpose: Development of a generic model-based reconstruction framework for multi-parametric quantitative MRI that can be used with data from different pulse sequences. Methods: Generic nonlinear model-based reconstruction for quantitative…

Medical Physics · Physics 2023-07-21 Nick Scholand , Xiaoqing Wang , Volkert Roeloffs , Sebastian Rosenzweig , Martin Uecker

Purpose: To develop and evaluate methods for 1) reconstructing 3D-quantification using an interleaved Look-Locker acquisition sequence with T2 preparation pulse (3D-QALAS) time-series images using a low-rank subspace method, which enables…

Image and Video Processing · Electrical Eng. & Systems 2024-01-25 Yohan Jun , Yamin Arefeen , Jaejin Cho , Shohei Fujita , Xiaoqing Wang , P. Ellen Grant , Borjan Gagoski , Camilo Jaimes , Michael S. Gee , Berkin Bilgic

Quantitative magnetic resonance (MR) T1\r{ho} mapping is a promising approach for characterizing intrinsic tissue-dependent information. However, long scan time significantly hinders its widespread applications. Recently, low-rank tensor…

Image and Video Processing · Electrical Eng. & Systems 2023-01-31 Yuanyuan Liu , Dong Liang , Zhuo-Xu Cui , Yuxin Yang , Chentao Cao , Qingyong Zhu , Jing Cheng , Caiyun Shi , Haifeng Wang , Yanjie Zhu

In MR fingerprinting (MRF) reconstruction, measured data is pattern-matched to simulated signals to extract quantitative tissue parameters. A critical drawback to this approach is the exponentially increasing compute time for mapping of…

Medical Physics · Physics 2024-07-17 Victoria Y. Yu , Kathryn R. Tringale , Ricardo Otazo , Ouri Cohen