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Complex systems are described with high-dimensional data that is hard to visualise. Inselberg's parallel coordinates are one representation technique for visualising high-dimensional data. Here we generalise Inselberg's approach, and use it…

Data Analysis, Statistics and Probability · Physics 2019-05-22 Susan Stepney

Time-of-flight cameras provide depth information, which is complementary to the photometric appearance of the scene in ordinary images. It is desirable to merge the depth and colour information, in order to obtain a coherent scene…

Computer Vision and Pattern Recognition · Computer Science 2020-12-18 Miles Hansard , Georgios Evangelidis , Quentin Pelorson , Radu Horaud

A number of basic image processing tasks, such as any geometric transformation require interpolation at subpixel image values. In this work we utilize the multidimensional coordinate Hermite spline interpolation defined on non-equal spaced,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Konstantinos K. Delibasis , Iro Oikonomou , Aristides I. Kechriniotis , Georgios N. Tsigaridas

The simplest way to obtain continuous interpolation between two points in high dimensional space is to draw a line between them. While previous works focused on the general connectivity between model parameters, we explored linear…

Computation and Language · Computer Science 2022-11-23 Mark Rofin , Nikita Balagansky , Daniil Gavrilov

We address the problem of epipolar geometry using the motion of silhouettes. Such methods match epipolar lines or frontier points across views, which are then used as the set of putative correspondences. We introduce an approach that…

Computer Vision and Pattern Recognition · Computer Science 2017-04-17 Gil Ben-Artzi

We introduce and develop the concept of oblique duality for fusion frames. This concept provides a mathematical framework to deal with problems in distributed signal processing where the signals, considered as elements in a Hilbert space…

Classical Analysis and ODEs · Mathematics 2016-12-19 Sigrid B. Heineken , Patricia M. Morillas

In this paper, we propose a trigonometric-interpolation approach for solutions of second order nonlinear ODEs with mixed boundary conditions. The method interpolates secondary derivative $y''$ of a target solution $y$ by a trigonometric…

Numerical Analysis · Mathematics 2025-04-29 Xiaorong Zou

Video prediction is an extrapolation task that predicts future frames given past frames, and video frame interpolation is an interpolation task that estimates intermediate frames between two frames. We have witnessed the tremendous…

Computer Vision and Pattern Recognition · Computer Science 2022-06-28 Yue Wu , Qiang Wen , Qifeng Chen

Video frame interpolation (VFI) is the task that synthesizes the intermediate frame given two consecutive frames. Most of the previous studies have focused on appropriate frame warping operations and refinement modules for the warped…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Sangjin Lee , Hyeongmin Lee , Chajin Shin , Hanbin Son , Sangyoun Lee

Machine translation between many languages at once is highly challenging, since training with ground truth requires supervision between all language pairs, which is difficult to obtain. Our key insight is that, while languages may vary…

Computation and Language · Computer Science 2022-04-04 Dídac Surís , Dave Epstein , Carl Vondrick

We propose a novel video frame interpolation algorithm based on asymmetric bilateral motion estimation (ABME), which synthesizes an intermediate frame between two input frames. First, we predict symmetric bilateral motion fields to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Junheum Park , Chul Lee , Chang-Su Kim

We present a general form of the iteration and interpolation process used in implicit particle filters. Implicit filters are based on a pseudo-Gaussian representation of posterior densities, and are designed to focus the particle paths so…

Numerical Analysis · Mathematics 2009-10-20 Alexandre J. Chorin , Xuemin Tu

This exposition presents nimblewomble, a software package to perform wombling, or boundary analysis, using the nimble Bayesian hierarchical modeling language in the R statistical computing environment. Wombling is used widely to track…

Computation · Statistics 2025-04-11 Aritra Halder , Sudipto Banerjee

Given two consecutive frames, video interpolation aims at generating intermediate frame(s) to form both spatially and temporally coherent video sequences. While most existing methods focus on single-frame interpolation, we propose an…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 Huaizu Jiang , Deqing Sun , Varun Jampani , Ming-Hsuan Yang , Erik Learned-Miller , Jan Kautz

This work aims to provide a deep-learning solution for the motion interpolation task. Previous studies solve it with geometric weight functions. Some other works propose neural networks for different problem settings with consecutive pose…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Shuo Huang , Jia Jia , Zongxin Yang , Wei Wang , Haozhe Wu , Yi Yang , Junliang Xing

A method based on orthogonal function series interpolation of the square root probability density to analyze higher dimensional scattered data is presented. The method is targeted for the use-case when the model and/or data are available…

Data Analysis, Statistics and Probability · Physics 2022-03-01 K. Gellerstedt , J. Sjölin

We present a novel method to interpolate smoke and liquid simulations in order to perform data-driven fluid simulations. Our approach calculates a dense space-time deformation using grid-based signed-distance functions of the inputs. A key…

Graphics · Computer Science 2017-04-05 Nils Thuerey

Video frame interpolation has been actively studied with the development of convolutional neural networks. However, due to the intrinsic limitations of kernel weight sharing in convolution, the interpolated frame generated by it may lose…

Computer Vision and Pattern Recognition · Computer Science 2023-08-01 Pan Gao , Haoyue Tian , Jie Qin

In this work, we first propose a fully differentiable Many-to-Many (M2M) splatting framework to interpolate frames efficiently. Given a frame pair, we estimate multiple bidirectional flows to directly forward warp the pixels to the desired…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Ping Hu , Simon Niklaus , Lu Zhang , Stan Sclaroff , Kate Saenko

State-of-the-art frame interpolation methods generate intermediate frames by inferring object motions in the image from consecutive key-frames. In the absence of additional information, first-order approximations, i.e. optical flow, must be…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Stepan Tulyakov , Daniel Gehrig , Stamatios Georgoulis , Julius Erbach , Mathias Gehrig , Yuanyou Li , Davide Scaramuzza
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