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Obtaining system parameters and reconstructing the full flow state from limited velocity observations using conventional fluid dynamics solvers can be prohibitively expensive. Here we employ machine learning algorithms to overcome the…

流体动力学 · 物理学 2024-10-17 Vladimir Parfenyev , Mark Blumenau , Ilia Nikitin

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…

流体动力学 · 物理学 2022-07-05 Alexandros Kontogiannis , Scott V. Elgersma , Andrew J. Sederman , Matthew P. Juniper

Simultaneously detecting hidden solid boundaries and reconstructing flow fields from sparse observations poses a significant inverse challenge in fluid mechanics. This study presents a physics-informed neural network (PINN) framework…

流体动力学 · 物理学 2025-04-01 Yongzheng Zhu , Weizheng Chen , Jian Deng , Xin Bian

4D flow MRI is a non-invasive imaging method that can measure blood flow velocities over time. However, the velocity fields detected by this technique have limitations due to low resolution and measurement noise. Coordinate-based neural…

图像与视频处理 · 电气工程与系统科学 2023-02-28 Simone Saitta , Marcello Carioni , Subhadip Mukherjee , Carola-Bibiane Schönlieb , Alberto Redaelli

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…

数值分析 · 数学 2026-04-02 Han Zhang , Xue-Cheng Tai , Jean-Michel Morel , Raymond H. Chan

Blood flow is sensitive to disease and provides insight into cardiac function, making flow field analysis valuable for diagnosis. However, while safer than radiation-based imaging and more suitable for patients with medical implants,…

机器学习 · 计算机科学 2025-11-04 Viraj Patel , Lisa Kreusser , Katharine Fraser

PURPOSE: Demonstrate a novel fast method for reconstruction of multi-dimensional MR Fingerprinting (MRF) data using Deep Learning methods. METHODS: A neural network (NN) is defined using the TensorFlow framework and trained on simulated MRF…

计算机视觉与模式识别 · 计算机科学 2024-07-17 Ouri Cohen , Bo Zhu , Matthew S. Rosen

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],…

最优化与控制 · 数学 2019-03-29 Guozhi Dong , Michael Hintermüller , Kostas Papafitsoros

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…

医学物理 · 物理学 2026-01-27 Atharva Hans , Abhishek Singh , Pavlos Vlachos , Ilias Bilionis

We present a framework, called MVG-NeRF, that combines classical Multi-View Geometry algorithms and Neural Radiance Fields (NeRF) for image-based 3D reconstruction. NeRF has revolutionized the field of implicit 3D representations, mainly…

计算机视觉与模式识别 · 计算机科学 2022-10-25 Marco Orsingher , Paolo Zani , Paolo Medici , Massimo Bertozzi

Recently, physics informed neural networks (PINNs) have been explored extensively for solving various forward and inverse problems and facilitating querying applications in fluid mechanics applications. However, work on PINNs for unsteady…

流体动力学 · 物理学 2024-02-28 Rahul Sundar , Dipanjan Majumdar , Didier Lucor , Sunetra Sarkar

Neural networks have emerged as a powerful tool for modeling physical systems, offering the ability to learn complex representations from limited data while integrating foundational scientific knowledge. In particular, neuro-symbolic…

机器学习 · 计算机科学 2025-07-30 Wenkai Tan , Alvaro Velasquez , Houbing Song

We formulate a physics-informed compressed sensing (PICS) method for the reconstruction of velocity fields from noisy and sparse phase-contrast magnetic resonance signals. The method solves an inverse Navier-Stokes boundary value problem,…

计算机视觉与模式识别 · 计算机科学 2023-01-04 Alexandros Kontogiannis , Matthew P. Juniper

Magnetic resonance fingerprinting (MRF) provides a unique concept for simultaneous and fast acquisition of multiple quantitative MR parameters. Despite acquisition efficiency, adoption of MRF into the clinics is hindered by its dictionary…

图像与视频处理 · 电气工程与系统科学 2020-08-11 Fabian Balsiger , Alain Jungo , Olivier Scheidegger , Pierre G. Carlier , Mauricio Reyes , Benjamin Marty

Hemodynamic quantities are valuable biomedical risk factors for cardiovascular pathology such as atherosclerosis. Non-invasive, in-vivo measurement of these quantities can only be performed using a select number of modalities that are not…

This article presents a graph neural network (GNN) based surrogate modeling approach for fluid-acoustic shape optimization. The GNN model transforms mesh-based simulations into a computational graph, enabling global prediction of pressure…

流体动力学 · 物理学 2024-12-24 Farnoosh Hadizadeh , Wrik Mallik , Rajeev K. Jaiman

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…

图像与视频处理 · 电气工程与系统科学 2020-04-16 Edward Ferdian , Avan Suinesiaputra , David Dubowitz , Debbie Zhao , Alan Wang , Brett Cowan , Alistair Young

An important tool for experimental fluids mechanics research is Particle Image Velocimetry (PIV). Several robust methodologies have been proposed to perform the estimation of velocity field from the images, however, alternative methods are…

计算机视觉与模式识别 · 计算机科学 2025-02-03 Efraín Magaña , Francisco Sahli Costabal , Wernher Brevis

Meshfree particle methods, such as Smoothed Particle Hydrodynamics (SPH) and the Moving Particle Semi-Implicit (MPS) method, are widely used to simulate complex free-surface and multiphase flows. A key challenge in these methods is the…

计算物理 · 物理学 2025-10-22 Nariman Mehranfar , Ahmad Shakibaeinia

Magnetic resonance imaging (MRI) is the gold standard imaging modality for numerous diagnostic tasks, yet its usefulness is tempered due to its high cost and infrastructural requirements. Low-cost very-low-field portable scanners offer new…

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