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Related papers: On Optical Flow Models for Variational Motion Esti…

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In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

Numerical Analysis · Mathematics 2018-03-28 Martin Burger , Hendrik Dirks , Lena Frerking , Andreas Hauptmann , Tapio Helin , Samuli Siltanen

Various research studies indicate that action recognition performance highly depends on the types of motions being extracted and how accurate the human actions are represented. In this paper, we investigate different optical flow, and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Lei Wang , Piotr Koniusz

Optical flow refers to the visual motion observed between two consecutive images. Since the degree of freedom is typically much larger than the constraints imposed by the image observations, the straightforward formulation of optical flow…

Machine Learning · Statistics 2018-08-21 Jie Sun , Fernando J. Quevedo , Erik Bollt

Interpreting motion captured in image sequences is crucial for a wide range of computer vision applications. Typical estimation approaches include optical flow (OF), which approximates the apparent motion instantaneously in a scene, and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-30 Tanner D. Harms , Steven L. Brunton , Beverley J. McKeon

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 paper, we are interested in the application to video segmentation of the discrete shape optimization problem involving the shape weighted perimeter and an additional term depending on a parameter. Based on recent works and in…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Florent Ranchin , Antonin Chambolle , Françoise Dibos

The aim of this paper is to introduce and study a two-step debiasing method for variational regularization. After solving the standard variational problem, the key idea is to add a consecutive debiasing step minimizing the data fidelity on…

Numerical Analysis · Mathematics 2017-06-23 Eva-Maria Brinkmann , Martin Burger , Julian Rasch , Camille Sutour

This paper introduces a robust framework for motion segmentation and egomotion estimation using event-based normal flow, tailored specifically for neuromorphic vision sensors. In contrast to traditional methods that rely heavily on optical…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Zhiyuan Hua , Dehao Yuan , Cornelia Fermüller

Conventional image motion based structure from motion methods first compute optical flow, then solve for the 3D motion parameters based on the epipolar constraint, and finally recover the 3D geometry of the scene. However, errors in optical…

Computer Vision and Pattern Recognition · Computer Science 2018-05-18 Francisco Barranco , Cornelia Fermüller , Yiannis Aloimonos , Eduardo Ros

Accurate velocity estimation is critical in mobile robotics, particularly for driver assistance systems and autonomous driving. Wheel odometry fused with Inertial Measurement Unit (IMU) data is a widely used method for velocity estimation;…

Robotics · Computer Science 2025-05-19 Liam Boyle , Jonas Kühne , Nicolas Baumann , Niklas Bastuck , Michele Magno

We introduce a class of higher-order anisotropic total variation regularisers, which are defined for possibly inhomogeneous, smooth elliptic anisotropies, that extends the Total Generalized Variation (TGV) regulariser and its variants. We…

Numerical Analysis · Mathematics 2020-07-10 Simone Parisotto , Jan Lellmann , Simon Masnou , Carola-Bibiane Schönlieb

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

Real-time motion detection in non-stationary scenes is a difficult task due to dynamic background, changing foreground appearance and limited computational resource. These challenges degrade the performance of the existing methods in…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Junjie Huang , Wei Zou , Zheng Zhu , Jiagang Zhu

In this paper, we propose image restoration models using optimal transport (OT) and total variation regularization. We present theoretical results of the proposed models based on the relations between the dual Lipschitz norm from OT and the…

Numerical Analysis · Mathematics 2025-03-20 Weijia Huang , Zhongyi Huang , Wenli Yang , Wei Zhu

Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this article we study a Horn-Schunck type spatio-temporal regularization functional for image sequences that have a non-Euclidean, time varying…

Numerical Analysis · Mathematics 2014-10-02 Martin Bauer , Markus Grasmair , Clemens Kirisits

Event-based motion field estimation is an important task. However, current optical flow methods face challenges: learning-based approaches, often frame-based and relying on CNNs, lack cross-domain transferability, while model-based methods,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Dehao Yuan , Levi Burner , Jiayi Wu , Minghui Liu , Jingxi Chen , Yiannis Aloimonos , Cornelia Fermüller

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

The goal of this paper is to discover, segment, and track independently moving objects in complex visual scenes. Previous approaches have explored the use of optical flow for motion segmentation, leading to imperfect predictions due to…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Junyu Xie , Weidi Xie , Andrew Zisserman

Optical flow estimation is a widely known problem in computer vision introduced by Gibson, J.J(1950) to describe the visual perception of human by stimulus objects. Estimation of optical flow model can be achieved by solving for the motion…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Noranart Vesdapunt , Utkarsh Sinha

This paper proves error estimates for $H^2$ conforming finite elements for equations which model the flow of surfaces by different powers of the mean curvature (this includes mean curvature flow). for an adapted scheme originally proposed…

Numerical Analysis · Mathematics 2021-03-26 Axel Kröner , Heiko Kröner