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A recently developed Projection-based Digital Image Correlation (P-DVC) method is here extended to 4D (space and time) displacement field measurement and mechanical identification based on a single radiograph per loading step instead of…

Computational Physics · Physics 2019-05-23 Clément Jailin , Ante Buljac , Amine Bouterf , François Hild , Stéphane Roux

Feedback control synthesis for nonlinear, parameter-dependent fluid flow control problems is considered. The optimal feedback law requires the solution of the Hamilton-Jacobi-Bellman (HJB) PDE suffering the curse of dimensionality. This is…

Optimization and Control · Mathematics 2023-11-29 Sergey Dolgov , Dante Kalise , Luca Saluzzi

The present work considers the optimal control of a convective Cahn-Hilliard system, where the control enters through the velocity in the transport term. We prove the existence of a solution to the considered optimal control problem. For an…

Optimization and Control · Mathematics 2018-03-08 Carmen Gräßle , Michael Hinze , Nicolas Scharmacher

Four different applications of spectral proper orthogonal decomposition (SPOD): low-rank reconstruction, denoising, frequency-time analysis, and prewhitening are demonstrated on large-eddy simulation data of a turbulent jet. SPOD-based…

Fluid Dynamics · Physics 2021-09-22 Akhil Nekkanti , Oliver T. Schmidt

Optical phase-spaces represent fields of any spatial coherence, and are typically measured through phase-retrieval methods involving a computational inversion, interference, or a resolution-limiting lenslet array. Recently, a weak-values…

Optics · Physics 2018-09-12 Samuel H. Knarr , Daniel J. Lum , James Schneeloch , John C. Howell

We aim to reconstruct the latent space dynamics of high dimensional, quasi-stationary systems using model order reduction via the spectral proper orthogonal decomposition (SPOD). The proposed method is based on three fundamental steps: in…

Numerical Analysis · Mathematics 2022-08-17 Andrea Lario , Romit Maulik , Oliver T. Schmidt , Gianluigi Rozza , Gianmarco Mengaldo

A novel algorithm for wide-baseline matching called MODS - Matching On Demand with view Synthesis - is presented. The MODS algorithm is experimentally shown to solve a broader range of wide-baseline problems than the state of the art while…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Dmytro Mishkin , Jiri Matas , Michal Perdoch

Multi-object tracking (MOT) methods often rely on Intersection-over-Union (IoU) for association. However, this becomes unreliable when objects are similar or occluded. Also, computing IoU for segmentation masks is computationally expensive.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Milad Khanchi , Maria Amer , Charalambos Poullis

Multi-object tracking (MOT) aims to associate target objects across video frames in order to obtain entire moving trajectories. With the advancement of deep neural networks and the increasing demand for intelligent video analysis, MOT has…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Gaoang Wang , Mingli Song , Jenq-Neng Hwang

In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The…

Numerical Analysis · Mathematics 2017-10-11 Fatma G. Eroglu , Songul Kaya , Leo G. Rebholz

This paper introduces a multifidelity formulation that reduces the computational cost of the proper orthogonal decomposition (POD) of a high-fidelity model by leveraging data from cheaper, lower-fidelity models. POD is a prevalent technique…

Numerical Analysis · Mathematics 2026-05-29 Nicole Aretz , Karen Willcox

Open-path Tunable Diode Laser Absorption Spectroscopy offers an effective method for measuring, mapping, and monitoring gas concentrations, such as leaking CO2 or methane. Compared to spatial sampling of gas distributions using in-situ…

Robotics · Computer Science 2026-02-25 Marius Schaab , Alisha Kiefer , Thomas Wiedemann , Patrick Hinsen , Achim J. Lilienthal

3D geometric shape completion hinges on representation learning and a deep understanding of geometric data. Without profound insights into the three-dimensional nature of the data, this task remains unattainable. Our work addresses this…

Computer Vision and Pattern Recognition · Computer Science 2024-11-11 Faezeh Zakeri , Raphael Braun , Lukas Ruppert , Henrik P. A. Lensch

Object pose estimation enables robots to understand and interact with their environments. Training with synthetic data is necessary in order to adapt to novel situations. Unfortunately, pose estimation under domain shift, i.e., training on…

Computer Vision and Pattern Recognition · Computer Science 2020-11-02 Stefan Thalhammer , Markus Leitner , Timothy Patten , Markus Vincze

Travelling wavepackets are key coherent features contributing to the dynamics of several advective flows. This work introduces the Hilbert proper orthogonal decomposition (HPOD) to distil these features from flow field data, leveraging…

Fluid Dynamics · Physics 2026-04-08 Marco Raiola , Jochen Kriegseis

The work provides an integrated pipeline for the model order reduction of turbulent flows around parametrised geometries in aerodynamics. In particular, Free-Form Deformation is applied for geometry parametrisation, whereas two different…

Numerical Analysis · Mathematics 2018-03-15 F. Salmoiraghi , A. Scardigli , H. Telib , G. Rozza

Particle Image Velocimetry (PIV) is the most commonly used optical technique for measuring 2D velocity fields. However, improving the spatial resolution of instantaneous velocity fields and having access to the velocity field in real time…

Fluid Dynamics · Physics 2024-07-04 Juan Pimienta , Jean-Luc Aider

Particle Image Velocimetry (PIV) estimates velocities through correlations of particle images within interrogation windows, leading to a spatial modulation of the velocity field. Although in principle Particle Tracking Velocimetry (PTV)…

Fluid Dynamics · Physics 2023-02-14 Iacopo Tirelli , Andrea Ianiro , Stefano Discetti

Video Anomaly Detection (VAD), aiming to identify abnormalities within a specific context and timeframe, is crucial for intelligent Video Surveillance Systems. While recent deep learning-based VAD models have shown promising results by…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Hao Shen , Lu Shi , Wanru Xu , Yigang Cen , Linna Zhang , Gaoyun An

We propose a numerical pipeline for shape optimization in naval engineering involving two different non-intrusive reduced order method (ROM) techniques. Such methods are proper orthogonal decomposition with interpolation (PODI) and dynamic…

Numerical Analysis · Mathematics 2019-05-15 Marco Tezzele , Nicola Demo , Gianluigi Rozza
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