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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

In synchronization problems, the goal is to estimate elements of a group from noisy measurements of their ratios. A popular estimation method for synchronization is the spectral method. It extracts the group elements from eigenvectors of a…

Spectral Theory · Mathematics 2023-07-18 Ido Hadi , Tamir Bendory , Nir Sharon

Rotation averaging (RA) is a fundamental problem in robotics and computer vision. In RA, the goal is to estimate a set of $N$ unknown orientations $R_{1}, ..., R_{N} \in SO(3)$, given noisy measurements $R_{ij} \sim R^{-1}_{i} R_{j}$ of a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Owen Howell , Haoen Huang , David Rosen

We propose an approach to assess the synchronization of rigidly mounted sensors based on their rotational motion. Using function similarity measures combined with a sliding window approach, our approach is capable of estimating time-varying…

Robotics · Computer Science 2024-10-01 Thomas Wodtko , Alexander Scheible , Michael Buchholz

Rotation averaging is a synchronization process on single or multiple rotation groups, and is a fundamental problem in many computer vision tasks such as multi-view structure from motion (SfM). Specifically, rotation averaging involves the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Xinyi Li , Haibin Ling

The synchronization problem over the special orthogonal group $SO(d)$ consists of estimating a set of unknown rotations $R_1,R_2,...,R_n$ from noisy measurements of a subset of their pairwise ratios $R_{i}^{-1}R_{j}$. The problem has found…

Information Theory · Computer Science 2013-07-17 Lanhui Wang , Amit Singer

We study synthetic aperture radar (SAR) imaging and motion estimation of complex scenes consisting of stationary and moving targets. We use the classic SAR setup with a single antenna emitting signals and receiving the echoes from the…

Numerical Analysis · Mathematics 2015-06-11 Liliana Borcea , Thomas Callaghan , George Papanicolaou

Given 2D point correspondences between an image pair, inferring the camera motion is a fundamental issue in the computer vision community. The existing works generally set out from the epipolar constraint and estimate the essential matrix,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Guangyang Zeng , Qingcheng Zeng , Xinghan Li , Biqiang Mu , Jiming Chen , Ling Shi , Junfeng Wu

Passive human speed estimation plays a critical role in acoustic sensing. Despite extensive study, existing systems, however, suffer from various limitations: First, the channel measurement rate proves inadequate to estimate high moving…

Human-Computer Interaction · Computer Science 2025-10-16 Sheng Lyu , Chenshu Wu

Synchronization of rotations is the problem of estimating a set of rotations R_i in SO(n), i = 1, ..., N, based on noisy measurements of relative rotations R_i R_j^T. This fundamental problem has found many recent applications, most…

Information Theory · Computer Science 2016-01-07 Nicolas Boumal , Amit Singer , P. -A. Absil , Vincent D. Blondel

This paper proposes a new method for rigid body pose estimation based on spectrahedral representations of the tautological orbitopes of $SE(2)$ and $SE(3)$. The approach can use dense point cloud data from stereo vision or an RGB-D sensor…

Computer Vision and Pattern Recognition · Computer Science 2014-04-08 Matanya B. Horowitz , Nikolai Matni , Joel W. Burdick

Robust 6D pose estimation of novel objects under challenging illumination remains a significant challenge, often requiring a trade-off between accurate initial pose estimation and efficient real-time tracking. We present a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Xingjian Yang , Ashis G. Banerjee

The problem of synchronization over a group $\mathcal{G}$ aims to estimate a collection of group elements $G^*_1, \dots, G^*_n \in \mathcal{G}$ based on noisy observations of a subset of all pairwise ratios of the form $G^*_i {G^*_j}^{-1}$.…

Optimization and Control · Mathematics 2023-06-19 Huikang Liu , Man-Chung Yue , Anthony Man-Cho So

The multi-reference alignment (MRA) problem entails estimating an image from multiple noisy and rotated copies of itself. If the noise level is low, one can reconstruct the image by estimating the missing rotations, aligning the images, and…

Signal Processing · Electrical Eng. & Systems 2022-06-17 Noam Janco , Tamir Bendory

Given an undirected measurement graph $\mathcal{H} = ([n], \mathcal{E})$, the classical angular synchronization problem consists of recovering unknown angles $\theta_1^*,\dots,\theta_n^*$ from a collection of noisy pairwise measurements of…

Machine Learning · Statistics 2026-01-22 Ernesto Araya , Mihai Cucuringu , Hemant Tyagi

Accurate 6D object pose estimation is fundamental to robotic manipulation and grasping. Previous methods follow a local optimization approach which minimizes the distance between closest point pairs to handle the rotation ambiguity of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Meng Tian , Liang Pan , Marcelo H Ang , Gim Hee Lee

The angular synchronization problem is to obtain an accurate estimation (up to a constant additive phase) for a set of unknown angles $\theta_1,...,\theta_n$ from $m$ noisy measurements of their offsets $\theta_i-\theta_j \mod 2\pi$. Of…

Spectral Theory · Mathematics 2009-11-20 Amit Singer

Rotation estimation plays a fundamental role in computer vision and robot tasks, and extremely robust rotation estimation is significantly useful for safety-critical applications. Typically, estimating a rotation is considered a non-linear…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Yinlong Liu , Tianyu Huang , Zhi-Xin Yang

A large number of cameras embedded on smart-phones, drones or inside cars have a direct access to external motion sensing from gyroscopes and accelerometers. On these power-limited devices, video compression must be of low-complexity. For…

Image and Video Processing · Electrical Eng. & Systems 2020-02-03 Karim El Khoury , Pascal Pellegrin , Antonin Descampe , Sébastien Lugan , Benoit Macq

In this paper, the parallel multi-extended state observers (ESOs) based active disturbance rejection control approach is proposed to achieve desired tracking performance by automatically selecting the estimation values leading to the least…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Guojie Tang , Wenchao Xue , Hao Peng , Yanlong Zhao , Zhijun Yang
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