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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…

Cardiovascular MRI (CMR) is a non-invasive imaging modality that provides excellent soft-tissue contrast without the use of ionizing radiation. Physiological motions and limited speed of MRI data acquisition necessitate development of…

Image and Video Processing · Electrical Eng. & Systems 2020-08-13 Chong Chen , Yingmin Liu , Philip Schniter , Matthew Tong , Karolina Zareba , Orlando Simonetti , Lee Potter , Rizwan Ahmad

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

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

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

Optimization and Control · Mathematics 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

We present a method for quantum state tomography that enables the efficient estimation, with fixed precision, of any of the matrix elements of the density matrix of a state, provided that the states from the basis in which the matrix is…

Quantum Physics · Physics 2015-06-12 Ariel Bendersky , Juan Pablo Paz

Diffusion magnetic resonance imaging (dMRI) is a crucial non-invasive technique for exploring the microstructure of the living human brain. Traditional hand-crafted and model-based tissue microstructure reconstruction methods often require…

Image and Video Processing · Electrical Eng. & Systems 2025-02-26 Xinrui Ma , Jian Cheng , Wenxin Fan , Ruoyou Wu , Yongquan Ye , Shanshan Wang

Magnetic resonance imaging (MRI) reconstruction is an active inverse problem which can be addressed by conventional compressed sensing (CS) MRI algorithms that exploit the sparse nature of MRI in an iterative optimization-based manner.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-13 Yuxiang Dai , Peixian Zhuang

This paper introduces a fast, general method for dictionary-free parameter estimation in quantitative magnetic resonance imaging (QMRI) via regression with kernels (PERK). PERK first uses prior distributions and the nonlinear MR signal…

Machine Learning · Statistics 2019-06-14 Gopal Nataraj , Jon-Fredrik Nielsen , Clayton Scott , Jeffrey A. Fessler

Knowledge of the noise distribution in magnitude diffusion MRI images is the centerpiece to quantify uncertainties arising from the acquisition process. The use of parallel imaging methods, the number of receiver coils and imaging filters…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Samuel St-Jean , Alberto De Luca , Max A. Viergever , Alexander Leemans

Magnetic Resonance Imaging (MRI) is a powerful imaging technique widely used for visualizing structures within the human body and in other fields such as plant sciences. However, there is a demand to develop fast 3D-MRI reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Arya Bangun , Zhuo Cao , Alessio Quercia , Hanno Scharr , Elisabeth Pfaehler

In modern medical diagnostics, magnetic resonance imaging (MRI) is an important technique that provides detailed insights into anatomical structures. In this paper, we present a comprehensive methodology focusing on streamlining the…

Image and Video Processing · Electrical Eng. & Systems 2024-04-25 Siddharth Jha , Zichen Gui , Benjamin Delbos , Richard Moreau , Arnaud Leleve , Irene Cheng

Magnetic resonance imaging (MRI) is a crucial tool for clinical diagnosis while facing the challenge of long scanning time. To reduce the acquisition time, fast MRI reconstruction aims to restore high-quality images from the undersampled…

Image and Video Processing · Electrical Eng. & Systems 2025-03-14 Yucong Meng , Zhiwei Yang , Minghong Duan , Yonghong Shi , Zhijian Song

Fast coverage of k-space is a major concern to speed up data acquisition in Magnetic Resonance Imaging (MRI) and limit image distortions due to long echo train durations. The hardware gradient constraints (magnitude, slew rate) must be…

Optimization and Control · Mathematics 2014-12-31 Nicolas Chauffert , Pierre Weiss , Jonas Kahn , Philippe CIUCIU

Heart is one of the vital organs of human body. A minor dysfunction of heart even for a short time interval can be fatal, therefore, efficient monitoring of its physiological state is essential for the patients with cardiovascular diseases.…

Image and Video Processing · Electrical Eng. & Systems 2019-11-22 Shakeel Muhammad Ibrahim , Muhammad Sohail Ibrahim , Muhammad Usman , Imran Naseem , Muhammad Moinuddin

Magnetic resonance imaging (MRI) of thigh and calf muscles is one of the most effective techniques for estimating fat infiltration into muscular dystrophies. The infiltration of adipose tissue into the diseased muscle region varies in its…

Image and Video Processing · Electrical Eng. & Systems 2019-10-14 Rula Amer , Jannette Nassar , David Bendahan , Hayit Greenspan , Noam Ben-Eliezer

Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Mona Zehni , Minh N. Do , Zhizhen Zhao

In spite of its extensive adaptation in almost every medical diagnostic and examinatorial application, Magnetic Resonance Imaging (MRI) is still a slow imaging modality which limits its use for dynamic imaging. In recent years, Parallel…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 George Yiasemis , Chaoping Zhang , Clara I. Sánchez , Jan-Jakob Sonke , Jonas Teuwen

Medical image segmentation is particularly critical as a prerequisite for relevant quantitative analysis in the treatment of clinical diseases. For example, in clinical cervical cancer radiotherapy, after acquiring subabdominal MRI images,…

Image and Video Processing · Electrical Eng. & Systems 2023-06-30 Yu Xiao , Xin Yang , Sijuan Huang , Lihua Guo

Quantitative phase imaging (QPI) recovers the exact wavefront of light from the intensity measured by a camera. Topographical maps of translucent microscopic bodies can be extracted from these quantified phase shifts. We demonstrate…

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