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Related papers: Optical Flow on Moving Manifolds

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The importance and demands of visual scene understanding have been steadily increasing along with the active development of autonomous systems. Consequently, there has been a large amount of research dedicated to semantic segmentation and…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Junhwa Hur , Stefan Roth

For visual estimation of optical flow, a crucial function for many vision tasks, unsupervised learning, using the supervision of view synthesis has emerged as a promising alternative to supervised methods, since ground-truth flow is not…

Computer Vision and Pattern Recognition · Computer Science 2023-04-17 Zitang Sun , Shin'ya Nishida , Zhengbo Luo

We show some computations related to the motion by mean curvature flow of a submanifold inside an ambient Riemannian manifold evolving by Ricci or backward Ricci flow. Special emphasis is given to the possible generalization of Huisken's…

Differential Geometry · Mathematics 2013-10-29 Annibale Magni , Carlo Mantegazza , Efstratios Tsatis

This paper studies optical flow estimation, a critical task in motion analysis with applications in autonomous navigation, action recognition, and film production. Traditional optical flow methods require consecutive frames, which are often…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Mo Zhou , Jianwei Wang , Xuanmeng Zhang , Dylan Campbell , Kai Wang , Long Yuan , Wenjie Zhang , Xuemin Lin

We present a self-supervised approach to estimate flow in camera image and top-view grid map sequences using fully convolutional neural networks in the domain of automated driving. We extend existing approaches for self-supervised optical…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Sascha Wirges , Johannes Gräter , Qiuhao Zhang , Christoph Stiller

We introduce a new parabolic flow deforming any Riemannian metric on a spin manifold by following a constrained gradient flow of the total scalar curvature. This flow is built out of the well-known Dirac-Einstein functional. We prove local…

Analysis of PDEs · Mathematics 2024-09-20 Yannick Sire , Tian Xu

The optical flow of humans is well known to be useful for the analysis of human action. Given this, we devise an optical flow algorithm specifically for human motion and show that it is superior to generic flow methods. Designing a method…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Anurag Ranjan , Javier Romero , Michael J. Black

We propose a number of variational regularisation methods for the estimation and decomposition of motion fields on the $2$-sphere. While motion estimation is based on the optical flow equation, the presented decomposition models are…

Optimization and Control · Mathematics 2014-03-05 Clemens Kirisits , Lukas F. Lang , Otmar Scherzer

In the domain of computer vision, optical flow stands as a cornerstone for unraveling dynamic visual scenes. However, the challenge of accurately estimating optical flow under conditions of large nonlinear motion patterns remains an open…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Chanuka Algama , Kasun Amarasinghe

In this work we consider optical flow on evolving Riemannian 2-manifolds which can be parametrised from the 2-sphere. Our main motivation is to estimate cell motion in time-lapse volumetric microscopy images depicting fluorescently labelled…

Optimization and Control · Mathematics 2015-06-11 Lukas F. Lang , Otmar Scherzer

Temporal coherence is a valuable source of information in the context of optical flow estimation. However, finding a suitable motion model to leverage this information is a non-trivial task. In this paper we propose an unsupervised online…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Daniel Maurer , Andrés Bruhn

Reconstructing high-quality images from undersampled dynamic MRI data is a challenging task and important for the success of this imaging modality. To remedy the naturally occurring artifacts due to measurement undersampling, one can…

Optimization and Control · Mathematics 2025-04-29 Matthias J. Ehrhardt , Marco Mauritz

Optical flow techniques are becoming increasingly performant and robust when estimating motion in a scene, but their performance has yet to be proven in the area of facial expression recognition. In this work, a variety of optical flow…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Benjamin Allaert , Isaac Ronald Ward , Ioan Marius Bilasco , Chaabane Djeraba , Mohammed Bennamoun

In this work, we extract the optical flow field corresponding to moving objects from an image sequence of a scene impacted by atmospheric turbulence \emph{and} captured from a moving camera. Our procedure first computes the optical flow…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Nicholas Ferrante , Jerome Gilles , Shibin Parameswaran

Optical flow is a classical task that is important to the vision community. Classical optical flow estimation uses two frames as input, whilst some recent methods consider multiple frames to explicitly model long-range information. The…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Qiaole Dong , Yanwei Fu

Normalizing flows have shown great promise for modelling flexible probability distributions in a computationally tractable way. However, whilst data is often naturally described on Riemannian manifolds such as spheres, torii, and hyperbolic…

Machine Learning · Statistics 2020-12-10 Emile Mathieu , Maximilian Nickel

Optical flow estimation is one of the fundamental tasks in low-level computer vision, which describes the pixel-wise displacement and can be used in many other tasks. From the apparent aspect, the optical flow can be viewed as the…

Computer Vision and Pattern Recognition · Computer Science 2024-05-22 Yuhao Cheng , Siru Zhang , Yiqiang Yan

The optical flow of humans is well known to be useful for the analysis of human action. Recent optical flow methods focus on training deep networks to approach the problem. However, the training data used by them does not cover the domain…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Anurag Ranjan , David T. Hoffmann , Dimitrios Tzionas , Siyu Tang , Javier Romero , Michael J. Black

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

Optical flow provides information on relative motion that is an important component in many computer vision pipelines. Neural networks provide high accuracy optical flow, yet their complexity is often prohibitive for application at the edge…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Yannick Schnider , Stanislaw Wozniak , Mathias Gehrig , Jules Lecomte , Axel von Arnim , Luca Benini , Davide Scaramuzza , Angeliki Pantazi