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Robust 3D registration is a fundamental problem in computer vision and robotics, where the goal is to estimate the geometric transformation between two sets of measurements in the presence of noise, mismatches, and extreme outlier…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Xianyun Qian , Fei Wen , Peilin Liu

Correspondence-based rotation search and point cloud registration are two fundamental problems in robotics and computer vision. However, the presence of outliers, sometimes even occupying the great majority of the putative correspondences,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Lei Sun

Unsupervised point cloud registration algorithm usually suffers from the unsatisfied registration precision in the partially overlapping problem due to the lack of effective inlier evaluation. In this paper, we propose a neighborhood…

Computer Vision and Pattern Recognition · Computer Science 2022-02-24 Yaqi Shen , Le Hui , Haobo Jiang , Jin Xie , Jian Yang

Graph matching (GM) has been a building block in various areas including computer vision and pattern recognition. Despite recent impressive progress, existing deep GM methods often have obvious difficulty in handling outliers, which are…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Chang Liu , Zetian Jiang , Runzhong Wang , Junchi Yan , Lingxiao Huang , Pinyan Lu

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

In robotic inspection of aviation parts, achieving accurate pairwise point cloud registration between scanned and model data is essential. However, noise and outliers generated in robotic scanned data can compromise registration accuracy.…

Robotics · Computer Science 2024-07-25 Lingjie Su , Wei Xu , Wenlong Li

Depth map fusion is an essential part in both stereo and RGB-D based 3-D reconstruction pipelines. Whether produced with a passive stereo reconstruction or using an active depth sensor, such as Microsoft Kinect, the depth maps have noise…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Markus Ylimäki , Juho Kannala , Janne Heikkilä

Non-rigid 3D registration, which deforms a source 3D shape in a non-rigid way to align with a target 3D shape, is a classical problem in computer vision. Such problems can be challenging because of imperfect data (noise, outliers and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

Outlier rejection and equivalently inlier set optimization is a key ingredient in numerous applications in computer vision such as filtering point-matches in camera pose estimation or plane and normal estimation in point clouds. Several…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Dror Aiger , Simon Lynen , Jan Hosang , Bernhard Zeisl

Point-set registration is a classical image processing problem that looks for the optimal transformation between two sets of points. In this work, we analyze the impact of outliers when finding the optimal rotation between two point clouds.…

Optimization and Control · Mathematics 2020-10-09 Cindy Orozco Bohorquez , Yuehaw Khoo , Lexing Ying

Spatial perception is the backbone of many robotics applications, and spans a broad range of research problems, including localization and mapping, point cloud alignment, and relative pose estimation from camera images. Robust spatial…

Machine Learning · Statistics 2019-07-31 Vasileios Tzoumas , Pasquale Antonante , Luca Carlone

Consider a dataset of vector-valued observations that consists of noisy inliers, which are explained well by a low-dimensional subspace, along with some number of outliers. This work describes a convex optimization problem, called REAPER,…

Information Theory · Computer Science 2015-07-24 Gilad Lerman , Michael McCoy , Joel A. Tropp , Teng Zhang

Reliable feature point matching is a vital yet challenging process in feature-based image registration. In this paper,a robust feature point matching algorithm called Recovery and Filtering Vertex Trichotomy Matching (RFVTM) is proposed to…

Image and Video Processing · Electrical Eng. & Systems 2022-04-05 Ming Zhao , Bowen An , Yongpeng Wu , Huynh Van Luong , André Kaup

We consider the problem of finding the matching map between two sets of $d$-dimensional noisy feature-vectors. The distinctive feature of our setting is that we do not assume that all the vectors of the first set have their corresponding…

Statistics Theory · Mathematics 2023-03-10 Arshak Minasyan , Tigran Galstyan , Sona Hunanyan , Arnak Dalalyan

Rotation search and point cloud registration are two fundamental problems in robotics and computer vision, which aim to estimate the rotation and the transformation between the 3D vector sets and point clouds, respectively. Due to the…

Robotics · Computer Science 2021-05-11 Lei Sun

$3$D structure recovery from a collection of $2$D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Onur Ozyesil , Amit Singer

In this work, we address the following matrix recovery problem: suppose we are given a set of data points containing two parts, one part consists of samples drawn from a union of multiple subspaces and the other part consists of outliers.…

Information Theory · Computer Science 2014-04-01 Guangcan Liu , Huan Xu , Shuicheng Yan

Multiview Structure from Motion is a fundamental and challenging computer vision problem. A recent deep-based approach utilized matrix equivariant architectures for simultaneous recovery of camera pose and 3D scene structure from large…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Fadi Khatib , Yoni Kasten , Dror Moran , Meirav Galun , Ronen Basri

We improve a phase retrieval approach that uses correlation-based measurements with compactly supported measurement masks [27]. The improved algorithm admits deterministic measurement constructions together with a robust, fast recovery…

Numerical Analysis · Mathematics 2016-12-07 Mark A. Iwen , Brian Preskitt , Rayan Saab , Aditya Viswanathan

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang
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