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Related papers: Optical Flow on Moving Manifolds

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We extend the concept of optical flow with spatiotemporal regularisation to a dynamic non-Euclidean setting. Optical flow is traditionally computed from a sequence of flat images. The purpose of this paper is to introduce variational motion…

Optimization and Control · Mathematics 2014-06-26 Clemens Kirisits , Lukas F. Lang , Otmar Scherzer

The optical flow of natural scenes is a combination of the motion of the observer and the independent motion of objects. Existing algorithms typically focus on either recovering motion and structure under the assumption of a purely static…

Computer Vision and Pattern Recognition · Computer Science 2017-05-04 Jonas Wulff , Laura Sevilla-Lara , Michael J. Black

Existing optical flow methods make generic, spatially homogeneous, assumptions about the spatial structure of the flow. In reality, optical flow varies across an image depending on object class. Simply put, different objects move…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 Laura Sevilla-Lara , Deqing Sun , Varun Jampani , Michael J. Black

We argue that the time derivative in a fixed coordinate frame may not be the most appropriate measure of time regularity of an optical flow field. Instead, for a given velocity field $v$ we consider the convective acceleration $v_t + \nabla…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Clemens Kirisits

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

We present a global optimization approach to optical flow estimation. The approach optimizes a classical optical flow objective over the full space of mappings between discrete grids. No descriptor matching is used. The highly regular…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Qifeng Chen , Vladlen Koltun

In this paper, we propose mathematical models for reconstructing the optical flow in time-harmonic elastography. In this image acquisition technique, the object undergoes a special time-harmonic oscillation with known frequency so that only…

Numerical Analysis · Mathematics 2025-01-14 Oleh Melnyk , Michael Quellmalz , Gabriele Steidl , Noah Jaitner , Jakob Jordan , Ingolf Sack

In this paper we present a decomposition algorithm for computation of the spatial-temporal optical flow of a dynamic image sequence. We consider several applications, such as the extraction of temporal motion features and motion detection…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Aniello Raffale Patrone , Otmar Scherzer

We extend the concept of optical flow to a dynamic non-Euclidean setting. Optical flow is traditionally computed from a sequence of flat images. It is the purpose of this paper to introduce variational motion estimation for images that are…

Optimization and Control · Mathematics 2013-05-22 Clemens Kirisits , Lukas F. Lang , Otmar Scherzer

An optical flow variational model is proposed for a sequence of images defined on a domain in $\mathbb{R}^2$. We introduce a regularization term given by the $L^1$ norm of a fractional differential operator. To solve the minimization…

Numerical Analysis · Mathematics 2015-12-07 Somayeh Gh. Bardeji , Isabel N. Figueiredo , Ercília Sousa

Video super-resolution is currently one of the most active research topics in computer vision as it plays an important role in many visual applications. Generally, video super-resolution contains a significant component, i.e., motion…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Zhigang Tu , Hongyan Li , Wei Xie , Yuanzhong Liu , Shifu Zhang , Baoxin Li , Junsong Yuan

Optical flow is the motion of a pixel between at least two consecutive video frames and can be estimated through an end-to-end trainable convolutional neural network. To this end, large training datasets are required to improve the accuracy…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Roman Seidel , André Apitzsch , Gangolf Hirtz

In most of computer vision applications, motion blur is regarded as an undesirable artifact. However, it has been shown that motion blur in an image may have practical interests in fundamental computer vision problems. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Dawit Mureja Argaw , Junsik Kim , Francois Rameau , Jae Won Cho , In So Kweon

Optical flow, inspired by the mechanisms of biological visual systems, calculates spatial motion vectors within visual scenes that are necessary for enabling robotics to excel in complex and dynamic working environments. However, current…

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

Real-time moving object detection in unconstrained scenes is a difficult task due to dynamic background, changing foreground appearance and limited computational resource. In this paper, an optical flow based moving object detection…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 Junjie Huang , Wei Zou , Jiagang Zhu , Zheng Zhu

Computed Tomography is a powerful imaging technique that allows non-destructive visualization of the interior of physical objects in different scientific areas. In traditional reconstruction techniques the object of interest is mostly…

Image and Video Processing · Electrical Eng. & Systems 2019-05-03 Koen Ruymbeek , Wim Vanroose

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

Optical flow is the pattern of apparent motion of objects in a scene. The computation of optical flow is a critical component in numerous computer vision tasks such as object detection, visual object tracking, and activity recognition.…

Signal Processing · Electrical Eng. & Systems 2024-01-15 Muhammad Wasim Nawaz , Abdesselam Bouzerdoum , Muhammad Mahboob Ur Rahman , Ghulam Abbas , Faizan Rashid

This paper presents an applied analysis of local and global methods, with a focus on the Horn-Schunck algorithm for optical flow computation. We explore the theoretical and practical aspects of local approaches, such as the Lucas-Kanade…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Haytham Ziani
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