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

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Given an inverse problem with a normalizing flow prior, we wish to estimate the distribution of the underlying signal conditioned on the observations. We approach this problem as a task of conditional inference on the pre-trained…

Machine Learning · Statistics 2021-06-16 Jay Whang , Erik M. Lindgren , Alexandros G. Dimakis

Motion estimation is one of the core challenges in computer vision. With traditional dual-frame approaches, occlusions and out-of-view motions are a limiting factor, especially in the context of environmental perception for vehicles due to…

Computer Vision and Pattern Recognition · Computer Science 2020-11-05 René Schuster , Christian Unger , Didier Stricker

Estimating motion in videos is an essential computer vision problem with many downstream applications, including controllable video generation and robotics. Current solutions are primarily trained using synthetic data or require tuning of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Stefan Stojanov , David Wendt , Seungwoo Kim , Rahul Venkatesh , Kevin Feigelis , Jiajun Wu , Daniel LK Yamins

In this paper we study a variational problem in the space of functions of bounded Hessian. Our model constitutes a straightforward higher-order extension of the well known ROF functional (total variation minimisation) to which we add a…

Numerical Analysis · Mathematics 2013-08-09 Konstantinos Papafitsoros , Carola-Bibiane Schönlieb

Optical flow estimation with occlusion or large displacement is a problematic challenge due to the lost of corresponding pixels between consecutive frames. In this paper, we discover that the lost information is related to a large quantity…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Yang Jiao , Guangming Shi , Trac D. Tran

End-to-end trained convolutional neural networks have led to a breakthrough in optical flow estimation. The most recent advances focus on improving the optical flow estimation by improving the architecture and setting a new benchmark on the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-03 D. B. de Jong , F. Paredes-Vallés , G. C. H. E. de Croon

This paper presents a novel architecture for simultaneous estimation of highly accurate optical flows and rigid scene transformations for difficult scenarios where the brightness assumption is violated by strong shading changes. In the case…

Computer Vision and Pattern Recognition · Computer Science 2022-09-15 Torben Fetzer , Gerd Reis , Didier Stricker

Recently, variational methods were successfully applied for computing the optical flow in gray and RGB-valued image sequences. A crucial assumption in these models is that pixel-values do not change under transformations. Nowadays, modern…

Optimization and Control · Mathematics 2021-09-06 Manuel Gräf , Sebastian Neumayer , Ralf Hielscher , Gabriele Steidl , Moritz Liesegang , Tilman Beck

In this paper, a variational, multi-dimensional model for image reconstruction is proposed, in which the regularization term consists of the $r$-order (an)-isotropic total variation seminorms $TV^r$, with $r\in \mathbb R^+$, defined via the…

Analysis of PDEs · Mathematics 2019-01-17 Pan Liu , Xin Yang Lu

We recently developed a new approach to get a stabilized image from a sequence of frames acquired through atmospheric turbulence. The goal of this algorihtm is to remove the geometric distortions due by the atmosphere movements. This method…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Yu Mao , Jerome Gilles

We investigate continuous regularization methods for linear inverse problems of static and dynamic type. These methods are based on dynamic programming approaches for linear quadratic optimal control problems. We prove regularization…

Optimization and Control · Mathematics 2021-01-27 S. Kindermann , A. Leitao

We propose and analyze an algorithm for the solution of the $L^2$-subgradient flow of the total variation functional. The algorithm involves no regularization, thus the numerical solution preserves the main features that motivate…

Numerical Analysis · Mathematics 2012-12-06 Ricardo H. Nochetto , Soeren Bartels , Abner J. Salgado

Real-time computational speed and a high degree of precision are requirements for computer-assisted interventions. Applying a segmentation network to a medical video processing task can introduce significant inter-frame prediction noise.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Robert Mendel , Tobias Rueckert , Dirk Wilhelm , Daniel Rueckert , Christoph Palm

We study image inverse problems with a normalizing flow prior. Our formulation views the solution as the maximum a posteriori estimate of the image conditioned on the measurements. This formulation allows us to use noise models with…

Machine Learning · Computer Science 2021-07-02 Jay Whang , Qi Lei , Alexandros G. Dimakis

In this work, we consider methods for solving large-scale optimization problems with a possibly nonsmooth objective function. The key idea is to first specify a class of optimization algorithms using a generic iterative scheme involving…

Optimization and Control · Mathematics 2020-02-19 Sebastian Banert , Axel Ringh , Jonas Adler , Johan Karlsson , Ozan Öktem

In moving camera videos, motion segmentation is commonly performed using the image plane motion of pixels, or optical flow. However, objects that are at different depths from the camera can exhibit different optical flows even if they share…

Computer Vision and Pattern Recognition · Computer Science 2015-11-06 Manjunath Narayana , Allen Hanson , Erik Learned-Miller

A central theme in classical algorithms for the reconstruction of discontinuous functions from observational data is perimeter regularization via the use of the total variation. On the other hand, sparse or noisy data often demands a…

Optimization and Control · Mathematics 2020-04-13 Oliver R. A. Dunbar , Matthew M. Dunlop , Charles M. Elliott , Viet Ha Hoang , Andrew M. Stuart

A comparative study of different block matching alternatives for motion estimation is presented. The study is focused on computational burden and objective measures on the accuracy of prediction. Together with existing algorithms several…

Computer Vision and Pattern Recognition · Computer Science 2022-02-25 Marcos Faundez-Zanuy , Francesc Tarres-Ruiz

Event cameras rely on motion to obtain information about scene appearance. This means that appearance and motion are inherently linked: either both are present and recorded in the event data, or neither is captured. Previous works treat the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Shuang Guo , Friedhelm Hamann , Guillermo Gallego

In this paper, we study univariate and planar random motions with variable propagation speeds. We first consider motions with space-varying velocity, which can be reduced to constant-velocity motions by means of suitable nonlinear…

Probability · Mathematics 2026-01-27 Manfred Marvin Marchione , Enzo Orsingher