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Continuous-time trajectory representation has recently gained popularity for tasks where the fusion of high-frame-rate sensors and multiple unsynchronized devices is required. Lie group cumulative B-splines are a popular way of representing…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Christiane Sommer , Vladyslav Usenko , David Schubert , Nikolaus Demmel , Daniel Cremers

A commonly-used representation for motion prediction of actors is a sequence of waypoints (comprising positions and orientations) for each actor at discrete future time-points. While this approach is simple and flexible, it can exhibit…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Zhaoen Su , Chao Wang , Henggang Cui , Nemanja Djuric , Carlos Vallespi-Gonzalez , David Bradley

Formerly the geometry was based on shapes, but since the last centuries this founding mathematical science deals with transformations, projections and mappings. Projective geometry identifies a line with a single point, like the perspective…

Dynamical Systems · Mathematics 2024-05-17 A. Hossain , Md. N. Akhtar , M. A. Navascués

Recent learning-based methods have reduced the computational complexity of traditional trajectory similarity computation, but state-of-the-art (SOTA) methods still fail to leverage the comprehensive spectrum of trajectory information for…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Hao Long , Silin Zhou , Lisi Chen , Shuo Shang

To enable versatile robot manipulation, robots must detect task-relevant poses for different purposes from raw scenes. Currently, many perception algorithms are designed for specific purposes, which limits the flexibility of the perception…

Robotics · Computer Science 2024-11-18 Kanghyun Kim , Min Jun Kim

Structure and continuous motion estimation from point correspondences is a fundamental problem in computer vision that has been powered by well-known algorithms such as the familiar 5-point or 8-point algorithm. However, despite their…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Hang Su , Yunlong Feng , Daniel Gehrig , Panfeng Jiang , Ling Gao , Xavier Lagorce , Laurent Kneip

We propose a structured prediction approach for robot imitation learning from demonstrations. Among various tools for robot imitation learning, supervised learning has been observed to have a prominent role. Structured prediction is a form…

6D pose estimation of rigid objects from RGB-D images is crucial for object grasping and manipulation in robotics. Although RGB channels and the depth (D) channel are often complementary, providing respectively the appearance and geometry…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Haoran Pan , Jun Zhou , Yuanpeng Liu , Xuequan Lu , Weiming Wang , Xuefeng Yan , Mingqiang Wei

This paper introduces a framework based on linear splines for 2-dimensional extended object tracking and classification. Unlike state of the art models, linear splines allow to represent extended objects whose contour is an arbitrarily…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Matteo Tesori , Giorgio Battistelli , Luigi Chisci

Trajectory Representation Learning (TRL) is a powerful tool for spatial-temporal data analysis and management. TRL aims to convert complicated raw trajectories into low-dimensional representation vectors, which can be applied to various…

Machine Learning · Computer Science 2024-03-08 Jiawei Jiang , Dayan Pan , Houxing Ren , Xiaohan Jiang , Chao Li , Jingyuan Wang

Sparse representation has been widely studied in visual tracking, which has shown promising tracking performance. Despite a lot of progress, the visual tracking problem is still a challenging task due to appearance variations over time. In…

Computer Vision and Pattern Recognition · Computer Science 2016-05-03 Xue Yang , Fei Han , Hua Wang , Hao Zhang

This paper addresses the problem of motion synchronization (or averaging) and describes a simple, closed-form solution based on a spectral decomposition, which does not consider rotation and translation separately but works straight in…

Computer Vision and Pattern Recognition · Computer Science 2017-02-14 Federica Arrigoni , Andrea Fusiello , Beatrice Rossi

Recovering dense and long-range pixel motion in videos is a challenging problem. Part of the difficulty arises from the 3D-to-2D projection process, leading to occlusions and discontinuities in the 2D motion domain. While 2D motion can be…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Yuxi Xiao , Qianqian Wang , Shangzhan Zhang , Nan Xue , Sida Peng , Yujun Shen , Xiaowei Zhou

Diffusion-based and iterative methods have become effective tools for solving imaging inverse problems. Their reconstruction process naturally forms a trajectory of intermediate estimates. Although these intermediate estimates define a…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Chaoyan Huang , Haijie Yuan , Saiprasad Ravishankar

We address the problem of reconstructing X-Ray tomographic images from scarce measurements by interpolating missing acquisitions using a self-supervised approach. To do so, we train shallow neural networks to combine two neighbouring…

Image and Video Processing · Electrical Eng. & Systems 2022-05-18 Emilien Valat , Katayoun Farrahi , Thomas Blumensath

This paper proposes a simple self-supervised approach for learning a representation for visual correspondence from raw video. We cast correspondence as prediction of links in a space-time graph constructed from video. In this graph, the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Allan Jabri , Andrew Owens , Alexei A. Efros

As autonomous systems increasingly rely on onboard sensing for localization and perception, the parallel tasks of motion planning and state estimation become more strongly coupled. This coupling is well-captured by augmenting the planning…

Robotics · Computer Science 2020-09-14 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Sophisticated trajectory prediction models that effectively mimic team dynamics have many potential uses for sports coaches, broadcasters and spectators. However, through experiments on soccer data we found that it can be surprisingly…

Machine Learning · Computer Science 2021-06-02 Brandon Victor , Aiden Nibali , Zhen He , David L. Carey

We propose a framework to combine strong non-linear expressiveness with strict SO(3)-equivariance in prediction of the electronic-structure Hamiltonian, by exploring the mathematical relationships between SO(3)-invariant and…

Machine Learning · Computer Science 2025-02-03 Shi Yin , Xinyang Pan , Fengyan Wang , Lixin He

In this paper, we propose a highly accurate continuous-time trajectory estimation framework dedicated to SLAM (Simultaneous Localization and Mapping) applications, which enables fuse high-frequency and asynchronous sensor data effectively.…

Robotics · Computer Science 2021-09-13 Jiajun Lv , Kewei Hu , Jinhong Xu , Yong Liu , Xiushui Ma , Xingxing Zuo