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Related papers: 4D-Flow MRI Pressure Estimation Using Velocity Mea…

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A novel uncertainty-based pressure reconstruction method is proposed to evaluate the instantaneous pressure fields from velocity fields measured using particle image velocimetry (PIV) or particle tracking velocimetry (PTV). First, the…

Fluid Dynamics · Physics 2019-12-03 Jiacheng Zhang , Sayantan Bhattacharya , Pavlos P. Vlachos

As the original velocity field obtained from four-dimensional (4D) flow magnetic resonance imaging (MRI) contains considerable amount of noises and errors, the available Divergence-free smoothing (DFS) method can be used to process the 4D…

Computational Engineering, Finance, and Science · Computer Science 2019-12-10 Qi Gao , Xingli Liu , Hongping Wang , Fei Li , Peng Wu , Zhaozhuo Niu , Mansu Jin , RunJie Wei

Magnetic resonance imaging (MRI) can estimate three-dimensional (3D) time-resolved relative pressure fields using 4D-flow MRI, thereby providing rich pressure field information. Clinical alternatives include catheterization and Doppler…

Simulation-based imaging (SBI) is a blood flow imaging technique that optimally fits a computational fluid dynamics (CFD) simulation to low-resolution, noisy magnetic resonance (MR) flow data to produce a high-resolution velocity field. In…

Numerical Analysis · Mathematics 2021-10-01 Charles J. Naudet , Johannes Toger , Matthew J. Zahr

We propose an improved density integration methodology for Background Oriented Schlieren (BOS) measurements that overcomes the noise sensitivity of the commonly used Poisson solver. The method employs a weighted least-squares (WLS)…

Fluid Dynamics · Physics 2020-12-02 Lalit Rajendran , Jiacheng Zhang , Sally Bane , Pavlos Vlachos

4D Flow MRI is the state of the art technique for measuring blood flow, and it provides valuable information for inverse problems in the cardiovascular system. However, 4D Flow MRI has a very long acquisition time, straining healthcare…

Numerical Analysis · Mathematics 2025-12-09 Miriam Löcke , Pim van Ooij , Cristóbal Bertoglio

Phase-contrast magnetic resonance imaging (MRI) provides time-resolved quantification of blood flow dynamics that can aid clinical diagnosis. Long in vivo scan times due to repeated three-dimensional (3D) volume sampling over cardiac phases…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Valery Vishnevskiy , Jonas Walheim , Sebastian Kozerke

Wall shear stress (WSS) has been suggested as a potential biomarker in various cardiovascular diseases and it can be estimated from phase-contrast Magnetic Resonance Imaging (PC-MRI) velocity measurements. We present a new parametric…

4D-flow magnetic resonance imaging (MRI) is an emerging imaging technique where spatiotemporal 3D blood velocity can be captured with full volumetric coverage in a single non-invasive examination. This enables qualitative and quantitative…

Image and Video Processing · Electrical Eng. & Systems 2020-04-16 Edward Ferdian , Avan Suinesiaputra , David Dubowitz , Debbie Zhao , Alan Wang , Brett Cowan , Alistair Young

We introduce SMURF, a scalable and unsupervised machine learning method for simultaneously segmenting vascular geometries and reconstructing velocity fields from 4D flow MRI data. SMURF models geometry and velocity fields using multilayer…

Medical Physics · Physics 2026-01-27 Atharva Hans , Abhishek Singh , Pavlos Vlachos , Ilias Bilionis

This paper proposes a method for reconstructing three-dimensional turbulent flows from sparse measurements without the need for ground truth data during training. A weight-sharing network is developed to infer the full flow fields from…

Fluid Dynamics · Physics 2026-03-11 Yaxin Mo , Luca Magri

In this work we propose, {analyze}, and validate a stabilized finite element method for a flow problem arising from the assessment of {4D Flow Magnetic Resonance Imaging quality}. Starting from the Navier-Stokes equation and splitting its…

Numerical Analysis · Mathematics 2026-01-27 Gabriel Barrenechea , Cristian Cárcamo , Abner Poza

We investigate the reconstruction of a turbulent flow field in the atmospheric boundary layer from a time series of lidar measurements, using Large-Eddy Simulations (LES) and a 4D-Var data assimilation algorithm. This leads to an…

Fluid Dynamics · Physics 2020-11-17 Pieter Bauweraerts , Johan Meyers

In many practical fluid dynamics experiments, measuring variables such as velocity and pressure is possible only at a limited number of sensor locations, \textcolor{black}{for a few two-dimensional planes, or for a small 3D domain in the…

Fluid Dynamics · Physics 2023-07-14 Ali Girayhan Özbay , Sylvain Laizet

We formulate and solve a generalized inverse Navier-Stokes problem for the joint velocity field reconstruction and boundary segmentation of noisy flow velocity images. To regularize the problem we use a Bayesian framework with Gaussian…

Wall shear stress (WSS) is a crucial hemodynamic quantity extensively studied in cardiovascular research, yet its numerical computation is not straightforward. This work aims to compare WSS results obtained from two different finite element…

Numerical Analysis · Mathematics 2025-01-07 Jana Brunátová , Jørgen Schartum Dokken , Kristian Valen-Sendstad , Jaroslav Hron

Blood flow imaging provides important information for hemodynamic behavior within the vascular system and plays an essential role in medical diagnosis and treatment planning. However, obtaining high-quality flow images remains a significant…

Numerical Analysis · Mathematics 2026-04-02 Han Zhang , Xue-Cheng Tai , Jean-Michel Morel , Raymond H. Chan

We propose a meshless method to compute pressure fields from image velocimetry data, regardless of whether this is available on a regular grid as in cross-correlation based velocimetry or on scattered points as in tracking velocimetry. The…

Fluid Dynamics · Physics 2022-06-22 Pietro Sperotto , Sandra Pieraccini , Miguel A. Mendez

Purpose: To introduce a fast and improved direct reconstruction method for multi-shot diffusion weighted (msDW) scans for high-resolution studies. Methods:Multi-shot EPI methods can enable higher spatial resolution for diffusion MRI…

Medical Physics · Physics 2019-06-26 Merry Mani , Hemant Kumar Aggarwal , Vincent Magnotta , Mathews Jacob

Four-dimensional Flow MRI enables non-invasive, time-resolved imaging of blood flow in three spatial dimensions, offering valuable insights into complex hemodynamics. However, its clinical utility is limited by low spatial resolution and…

Image and Video Processing · Electrical Eng. & Systems 2026-03-17 Aurélien de Turenne , Rémi Cart-Lamy , Denis Kouamé
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