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Currently, the most common motion representation for action recognition is optical flow. Optical flow is based on particle tracking which adheres to a Lagrangian perspective on dynamics. In contrast to the Lagrangian perspective, the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-17 Omar Hommos , Silvia L. Pintea , Pascal S. M. Mettes , Jan C. van Gemert

Borrowing terminology from fluid mechanics, the concepts of {\em Eulerian} and {\em Lagrangian optical flow sensing} are introduced. Eulerian optical flow sensing assumes that each photoreceptor in the camera or eye can instantaneously…

Systems and Control · Electrical Eng. & Systems 2021-03-02 John Baillieul , Feiyang Kang

In this paper, we propose a convolutional layer inspired by optical flow algorithms to learn motion representations. Our representation flow layer is a fully-differentiable layer designed to capture the `flow' of any representation channel…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 AJ Piergiovanni , Michael S. Ryoo

Recent advancements in image animation have utilized diffusion models to breathe life into static images. However, existing controllable frameworks typically rely on Lagrangian motion guidance, where optical flow is estimated relative to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Thong Nguyen , Khoi M. Le , Cong-Duy Nguyen , Luu Anh Tuan , See-Kiong Ng , Chunyan Miao

We present MovingParts, a NeRF-based method for dynamic scene reconstruction and part discovery. We consider motion as an important cue for identifying parts, that all particles on the same part share the common motion pattern. From the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Kaizhi Yang , Xiaoshuai Zhang , Zhiao Huang , Xuejin Chen , Zexiang Xu , Hao Su

Microexpressions are fast and spatially small facial expressions that are difficult to detect. Therefore motion magnification techniques, which aim at amplifying and hence revealing subtle motion in videos, appear useful for handling such…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Philipp Flotho , Cosmas Heiss , Gabriele Steidl , Daniel J. Strauss

The standard approach to densely reconstruct the motion in a volume of fluid is to inject high-contrast tracer particles and record their motion with multiple high-speed cameras. Almost all existing work processes the acquired multi-view…

Computer Vision and Pattern Recognition · Computer Science 2019-11-25 Katrin Lasinger , Christoph Vogel , Thomas Pock , Konrad Schindler

Lagrangian formulation of kinematic wave provides a more accurate representation than the most commonly used Eulerian formulation. Furthermore, Lagrangian representation offers a flexibility to study certain traffic phenomena (e.g. capacity…

Optimization and Control · Mathematics 2018-04-26 Sosina Gashaw , Jérôme Härri , Paola Goatin

Motion magnification helps us visualize subtle, imperceptible motion. However, prior methods only work for 2D videos captured with a fixed camera. We present a 3D motion magnification method that can magnify subtle motions from scenes…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Brandon Y. Feng , Hadi Alzayer , Michael Rubinstein , William T. Freeman , Jia-Bin Huang

We examine the process of particle capture by large deformable drops in turbulent channel flow. We simulate the solid-liquid-liquid three-phase flow with an Eulerian-Lagrangian method based on Direct Numerical Simulation of turbulence…

Fluid Dynamics · Physics 2020-11-05 Arash Hajisharifi , Cristian Marchioli , Alfredo Soldati

The dominant paradigms for video prediction rely on opaque transition models where neither the equations of motion nor the underlying physical quantities of the system are easily inferred. The equations of motion, as defined by Newton's…

Machine Learning · Computer Science 2020-10-27 Christine Allen-Blanchette , Sushant Veer , Anirudha Majumdar , Naomi Ehrich Leonard

In this paper, we demonstrate a fully automatic method for converting a still image into a realistic animated looping video. We target scenes with continuous fluid motion, such as flowing water and billowing smoke. Our method relies on the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Aleksander Holynski , Brian Curless , Steven M. Seitz , Richard Szeliski

Learning with neural networks from a continuous stream of visual information presents several challenges due to the non-i.i.d. nature of the data. However, it also offers novel opportunities to develop representations that are consistent…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Simone Marullo , Matteo Tiezzi , Marco Gori , Stefano Melacci

Video representation is a key challenge in many computer vision applications such as video classification, video captioning, and video surveillance. In this paper, we propose a novel approach for video representation that captures…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Mohammadreza Babaee , David Full , Gerhard Rigoll

Motion, measured via optical flow, provides a powerful cue to discover and learn objects in images and videos. However, compared to using appearance, it has some blind spots, such as the fact that objects become invisible if they do not…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Subhabrata Choudhury , Laurynas Karazija , Iro Laina , Andrea Vedaldi , Christian Rupprecht

Predicting particle transport in complex flows is traditionally achieved by solving the Navier-Stokes equations. While various numerical and experimental methods exist, they typically require deep physical insights and incur high…

Fluid Dynamics · Physics 2025-11-03 Jingdi Wan , Hongping Wang , Bo Liu , Xiaolei Yang , Xiaodong Hu , Shengze Cai , Guowei He , Yang Liu

We introduce an Eulerian approach for problems involving one or more soft solids immersed in a fluid, which permits mechanical interactions between all phases. The reference map variable is exploited to simulate finite-deformation…

Computational Physics · Physics 2015-12-16 Boris Valkov , Chris H. Rycroft , Ken Kamrin

Video motion magnification techniques allow us to see small motions previously invisible to the naked eyes, such as those of vibrating airplane wings, or swaying buildings under the influence of the wind. Because the motion is small, the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Tae-Hyun Oh , Ronnachai Jaroensri , Changil Kim , Mohamed Elgharib , Frédo Durand , William T. Freeman , Wojciech Matusik

The puzzle of computer vision might find new challenging solutions when we realize that most successful methods are working at image level, which is remarkably more difficult than processing directly visual streams, just as happens in…

Computer Vision and Pattern Recognition · Computer Science 2018-07-18 Alessandro Betti , Marco Gori , Stefano Melacci

We consider the evolution of an incompressible two-dimensional perfect fluid as the boundary of its domain is deformed in a prescribed fashion. The flow is taken to be initially steady, and the boundary deformation is assumed to be slow…

Analysis of PDEs · Mathematics 2007-05-23 J. Vanneste , D. Wirosoetisno
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