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Reconstructing the 3D model of a physical object typically requires us to align the depth scans obtained from different camera poses into the same coordinate system. Solutions to this global alignment problem usually proceed in two steps.…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Xiangru Huang , Zhenxiao Liang , Xiaowei Zhou , Yao Xie , Leonidas Guibas , Qixing Huang

Transformation Synchronization is the problem of recovering absolute transformations from a given set of pairwise relative motions. Despite its usefulness, the problem remains challenging due to the influences from noisy and outlier…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Zi Jian Yew , Gim Hee Lee

In this work we study permutation synchronisation for the challenging case of partial permutations, which plays an important role for the problem of matching multiple objects (e.g. images or shapes). The term synchronisation refers to the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Florian Bernard , Johan Thunberg , Jorge Goncalves , Christian Theobalt

Transitive consistency is an intrinsic property for collections of linear invertible transformations between Euclidean coordinate frames. In practice, when the transformations are estimated from data, this property is lacking. This work…

Optimization and Control · Mathematics 2015-09-03 Johan Thunberg , Florian Bernard , Jorge Goncalves

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

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Zorah Lähner , Johan Thunberg , Daniel Cremers , Florian Bernard

The problem of learning to translate between two vector spaces given a set of aligned points arises in several application areas of NLP. Current solutions assume that the lexicon which defines the alignment pairs is noise-free. We consider…

Computation and Language · Computer Science 2019-03-26 Noa Yehezkel Lubin , Jacob Goldberger , Yoav Goldberg

Many robotics applications require alignment and fusion of observations obtained at multiple views to form a global model of the environment. Multi-way data association methods provide a mechanism to improve alignment accuracy of pairwise…

Robotics · Computer Science 2020-03-06 Kaveh Fathian , Kasra Khosoussi , Yulun Tian , Parker Lusk , Jonathan P. How

The matching of multiple objects (e.g. shapes or images) is a fundamental problem in vision and graphics. In order to robustly handle ambiguities, noise and repetitive patterns in challenging real-world settings, it is essential to take…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Florian Bernard , Johan Thunberg , Paul Swoboda , Christian Theobalt

Point sets matching method is very important in computer vision, feature extraction, fingerprint matching, motion estimation and so on. This paper proposes a robust point sets matching method. We present an iterative algorithm that is…

Computer Vision and Pattern Recognition · Computer Science 2014-11-05 Xiao Liu , Congying Han , Tiande Guo

A fundamental problem in robotic perception is matching identical objects or data, with applications such as loop closure detection, place recognition, object tracking, and map fusion. While the problem becomes considerably more challenging…

Robotics · Computer Science 2021-12-01 Parker C. Lusk , Ronak Roy , Kaveh Fathian , Jonathan P. How

Achieving high-performance in multi-object tracking algorithms heavily relies on modeling spatio-temporal relationships during the data association stage. Mainstream approaches encompass rule-based and deep learning-based methods for…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zhonglin Liu , Shujie Chen , Jianfeng Dong , Xun Wang , Di Zhou

We propose a novel method for spatiotemporal multi-camera calibration using freely moving people in multiview videos. Since calibrating multiple cameras and finding matches across their views are inherently interdependent, performing both…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Sang-Eun Lee , Ko Nishino , Shohei Nobuhara

Various alignment problems arising in cryo-electron microscopy, community detection, time synchronization, computer vision, and other fields fall into a common framework of synchronization problems over compact groups such as Z/L, U(1), or…

Information Theory · Computer Science 2018-09-14 Amelia Perry , Alexander S. Wein , Afonso S. Bandeira , Ankur Moitra

Full 3D scanning can efficiently be obtained using structured light scanning combined with a rotation stage. In this setting it is, however, necessary to reposition the object and scan it in different poses in order to cover the entire…

Computer Vision and Pattern Recognition · Computer Science 2021-09-15 Dolores Messer , Jakob Wilm , Eythor R. Eiriksson , Vedrana A. Dahl , Anders B. Dahl

Sampling and quantization are standard practices in signal and image processing, but a theoretical understanding of their impact is incomplete. We consider discrete image registration when the underlying function is a one-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Serap A. Savari

Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional…

Chaotic Dynamics · Physics 2016-11-09 Aditya Tandon , Malte Schröder , Manu Mannattil , Marc Timme , Sagar Chakraborty

In this work, we investigate data fitting problems with random noises. A randomized progressive iterative regularization method is proposed. It works well for large-scale matrix computations and converges in expectation to the least-squares…

Numerical Analysis · Mathematics 2025-06-05 Dakang Cen , Wenlong Zhang , Junbin Zhong

Objects with symmetries are common in our daily life and in industrial contexts, but are often ignored in the recent literature on 6D pose estimation from images. In this paper, we study in an analytical way the link between the symmetries…

Computer Vision and Pattern Recognition · Computer Science 2019-08-22 Giorgia Pitteri , Michaël Ramamonjisoa , Slobodan Ilic , Vincent Lepetit

We consider the problem of consistently matching multiple sets of elements to each other, which is a common task in fields such as computer vision. To solve the underlying NP-hard objective, existing methods often relax or approximate it,…

Machine Learning · Statistics 2019-07-19 Da Tang , Tony Jebara
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