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An optical flow gradient algorithm was applied to spontaneously forming net- works of neurons and glia in culture imaged by fluorescence optical microscopy in order to map functional calcium signaling with single pixel resolution. Optical…

Computational Engineering, Finance, and Science · Computer Science 2010-01-22 Marius Buibas , Diana Yu , Krystal Nizar , Gabriel A. Silva

We learn to compute optical flow by combining a classical spatial-pyramid formulation with deep learning. This estimates large motions in a coarse-to-fine approach by warping one image of a pair at each pyramid level by the current flow…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Anurag Ranjan , Michael J. Black

We address the problem of joint optical flow and camera motion estimation in rigid scenes by incorporating geometric constraints into an unsupervised deep learning framework. Unlike existing approaches which rely on brightness constancy and…

Computer Vision and Pattern Recognition · Computer Science 2020-02-28 Shihao Jiang , Dylan Campbell , Miaomiao Liu , Stephen Gould , Richard Hartley

Optical flow estimation is a basic task in self-driving and robotics systems, which enables to temporally interpret traffic scenes. Autonomous vehicles clearly benefit from the ultra-wide Field of View (FoV) offered by 360{\deg} panoramic…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Hao Shi , Yifan Zhou , Kailun Yang , Xiaoting Yin , Ze Wang , Yaozu Ye , Zhe Yin , Shi Meng , Peng Li , Kaiwei Wang

We reframe scene flow as the task of estimating a continuous space-time ODE that describes motion for an entire observation sequence, represented with a neural prior. Our method, EulerFlow, optimizes this neural prior estimate against…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Kyle Vedder , Neehar Peri , Ishan Khatri , Siyi Li , Eric Eaton , Mehmet Kocamaz , Yue Wang , Zhiding Yu , Deva Ramanan , Joachim Pehserl

The shape of liquid surface in a rotating frame depends on the angular velocity. In this experiment, a fluid in a rectangular container with a small width is placed on a rotating table. A smartphone fixed to the rotating frame…

Physics Education · Physics 2019-08-14 Martín Monteiro , Fernando Tornaría , Arturo C. Marti

Event cameras are bio-inspired sensors that asynchronously report intensity changes in microsecond resolution. DAVIS can capture high dynamics of a scene and simultaneously output high temporal resolution events and low frame-rate intensity…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Liyuan Pan , Miaomiao Liu , Richard Hartley

Optical flow is a crucial component of the feature space for early visual processing of dynamic scenes especially in new applications such as self-driving vehicles, drones and autonomous robots. The dynamic vision sensors are well suited…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Himanshu Akolkar , SioHoi Ieng , Ryad Benosman

We tackle the problem of estimating optical flow from a monocular camera in the context of autonomous driving. We build on the observation that the scene is typically composed of a static background, as well as a relatively small number of…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Min Bai , Wenjie Luo , Kaustav Kundu , Raquel Urtasun

The potential flow of two-dimensional ideal incompressible fluid with a free surface is studied. Using the theory of conformal mappings and Hamiltonian formalism allows us to derive exact equations of surface evolution. Simple form of the…

Fluid Dynamics · Physics 2012-06-12 V. E. Zakharov , A. I. Dyachenko

It is investigated a possibility of physical interpretation of vector fields (dynamic flows) in Euclidean spaces of higher dimension. There are analyzed the methods of measurements of dynamic flows, the characteristics of dynamic flow and…

General Mathematics · Mathematics 2007-05-23 I. V. Bayak

Optical flow estimation with convolutional neural networks (CNNs) has recently solved various tasks of computer vision successfully. In this paper we adapt a state-of-the-art approach for optical flow estimation to omnidirectional images.…

Computer Vision and Pattern Recognition · Computer Science 2018-12-07 André Apitzsch , Roman Seidel , Gangolf Hirtz

This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem is transformed into a quasilinear pseudodifferential…

Analysis of PDEs · Mathematics 2015-05-14 Adrian Constantin , Eugen Varvaruca

Dynamic inverse problems are challenging to solve due to the need to identify and incorporate appropriate regularization in both space and time. Moreover, the very large scale nature of such problems in practice presents an enormous…

Numerical Analysis · Mathematics 2025-01-23 Toluwani Okunola , Mirjeta Pasha , Misha Kilmer , Melina Freitag

There hardly exists any large-scale datasets with dense optical flow of non-rigid motion from real-world imagery as of today. The reason lies mainly in the required setup to derive ground truth optical flows: a series of images with known…

Computer Vision and Pattern Recognition · Computer Science 2021-09-16 Hoàng-Ân Lê , Tushar Nimbhorkar , Thomas Mensink , Anil S. Baslamisli , Sezer Karaoglu , Theo Gevers

Real-time high-accuracy optical flow estimation is a crucial component in various applications, including localization and mapping in robotics, object tracking, and activity recognition in computer vision. While recent learning-based…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Zhiyong Zhang , Huaizu Jiang , Hanumant Singh

Optical flow estimation is a well-studied topic for automated driving applications. Many outstanding optical flow estimation methods have been proposed, but they become erroneous when tested in challenging scenarios that are commonly…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Shihao Shen , Louis Kerofsky , Senthil Yogamani

Event cameras respond to scene dynamics and offer advantages to estimate motion. Following recent image-based deep-learning achievements, optical flow estimation methods for event cameras have rushed to combine those image-based methods…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Shintaro Shiba , Yoshimitsu Aoki , Guillermo Gallego

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

Estimating continuous optical flow is a fundamental yet challenging problem in dynamic visual perception. Event-based cameras, with microsecond latency and high dynamic range, capture brightness changes asynchronously, offering a unique…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Rui Hu , Song Wu , Wen Yang , Jinjian Wu