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A spectral decomposition method is used to obtain solutions to a class of nonlinear differential equations. We extend this approach to the analysis of the fractional form of these equations and demonstrate the method by applying it to the…

Mathematical Physics · Physics 2015-08-14 Malgorzata Turalska , Bruce J. West

In the field of computer vision, a crucial task is the detection of motion (also called optical flow extraction). This operation allows analysis such as 3D reconstruction, feature tracking, time-to-collision and novelty detection among…

Computer Vision and Pattern Recognition · Computer Science 2009-11-24 Mauricio Cerda , Lucas Terissi , Bernard Girau

Given two consecutive RGB-D images, we propose a model that estimates a dense 3D motion field, also known as scene flow. We take advantage of the fact that in robot manipulation scenarios, scenes often consist of a set of rigidly moving…

Robotics · Computer Science 2018-07-25 Lin Shao , Parth Shah , Vikranth Dwaracherla , Jeannette Bohg

High-dynamic scene optical flow is a challenging task, which suffers spatial blur and temporal discontinuous motion due to large displacement in frame imaging, thus deteriorating the spatiotemporal feature of optical flow. Typically,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Hanyu Zhou , Haonan Wang , Haoyue Liu , Yuxing Duan , Yi Chang , Luxin Yan

Occlusions between consecutive frames have long posed a significant challenge in optical flow estimation. The inherent ambiguity introduced by occlusions directly violates the brightness constancy constraint and considerably hinders…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Shangkun Sun , Jiaming Liu , Thomas H. Li , Huaxia Li , Guoqing Liu , Wei Gao

Event cameras such as DAVIS can simultaneously output high temporal resolution events and low frame-rate intensity images, which own great potential in capturing scene motion, such as optical flow estimation. Most of the existing optical…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Zhexiong Wan , Yuchao Dai , Yuxin Mao

Recent learning-based methods for event-based optical flow estimation utilize cost volumes for pixel matching but suffer from redundant computations and limited scalability to higher resolutions for flow refinement. In this work, we take…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Daikun Liu , Lei Cheng , Teng Wang , changyin Sun

Motion blur is a known issue in photography, as it limits the exposure time while capturing moving objects. Extensive research has been carried to compensate for it. In this work, a computational imaging approach for motion deblurring is…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Shay Elmalem , Raja Giryes , Emanuel Marom

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

Numerical Analysis · Mathematics 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

We propose a new solution to the blind source separation problem that factors mixed time-series signals into a sum of spatiotemporal modes, with the constraint that the temporal components are intrinsic mode functions (IMF's). The key…

Numerical Analysis · Mathematics 2018-06-25 Seth M. Hirsh , Bingni W. Brunton , J. Nathan Kutz

Given unstructured videos of deformable objects, we automatically recover spatiotemporal correspondences to map one object to another (such as animals in the wild). While traditional methods based on appearance fail in such challenging…

Computer Vision and Pattern Recognition · Computer Science 2016-08-18 Luca Del Pero , Susanna Ricco , Rahul Sukthankar , Vittorio Ferrari

Current techniques for explainable AI have been applied with some success to image processing. The recent rise of research in video processing has called for similar work n deconstructing and explaining spatio-temporal models. While many…

Machine Learning · Computer Science 2019-08-15 Liam Hiley , Alun Preece , Yulia Hicks , David Marshall , Harrison Taylor

We present a method based on a time domain simulation of wave propagation that allows studying the optical response of a broad range of dielectric photonic structures. This method is particularly suitable for dealing with complex biological…

Computational Physics · Physics 2013-01-07 Andrés E. Dolinko , Diana C. Skigin

Dynamic Mode Decomposition (DMD) is a numerical method that seeks to fit timeseries data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Marco Mignacca , Simone Brugiapaglia , Jason J. Bramburger

The classical Fourier analysis of a time signal, in the discrete sense, provides the frequency content of signal under the assumption of periodicity. Although the original signal can be exactly recovered using an inverse transform, the time…

Fluid Dynamics · Physics 2026-01-06 Vilas J. Shinde

Event cameras have the ability to record continuous and detailed trajectories of objects with high temporal resolution, thereby providing intuitive motion cues for optical flow estimation. Nevertheless, most existing learning-based…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Haotian Liu , Guang Chen , Sanqing Qu , Yanping Zhang , Zhijun Li , Alois Knoll , Changjun Jiang

This paper describes a new algorithm for solar energy forecasting from a sequence of Cloud Optical Depth (COD) images. The algorithm is based on the following simple observation: the dynamics of clouds represented by COD images resembles…

Optimization and Control · Mathematics 2017-10-03 Sergiy Zhuk , Tigran Tchrakian , Albert Akhriev , Siyuan Lu , Hendrik Hamann

This paper deals with a challenging, frequently encountered, yet not properly investigated problem in two-frame optical flow estimation. That is, the input frames are compounds of two imaging layers -- one desired background layer of the…

Computer Vision and Pattern Recognition · Computer Science 2016-05-09 Jiaolong Yang , Hongdong Li , Yuchao Dai , Robby T. Tan

Structured illumination microscopy (SIM) reconstructs a super-resolved image from multiple raw images captured with different illumination patterns; hence, acquisition speed is limited, making it unsuitable for dynamic scenes. We propose a…

Optics · Physics 2025-06-17 Ruiming Cao , Fanglin Linda Liu , Li-Hao Yeh , Laura Waller
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