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We propose the first fast and certifiable algorithm for the registration of two sets of 3D points in the presence of large amounts of outlier correspondences. We first reformulate the registration problem using a Truncated Least Squares…

Robotics · Computer Science 2020-10-20 Heng Yang , Jingnan Shi , Luca Carlone

Given an input set of $3$D point pairs, the goal of outlier-robust $3$D registration is to compute some rotation and translation that align as many point pairs as possible. This is an important problem in computer vision, for which many…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Tianyu Huang , Liangzu Peng , René Vidal , Yun-Hui Liu

We propose the first general and practical framework to design certifiable algorithms for robust geometric perception in the presence of a large amount of outliers. We investigate the use of a truncated least squares (TLS) cost function,…

Optimization and Control · Mathematics 2020-10-20 Heng Yang , Luca Carlone

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

The rotation search problem aims to find a 3D rotation that best aligns a given number of point pairs. To induce robustness against outliers for rotation search, prior work considers truncated least-squares (TLS), which is a non-convex…

Optimization and Control · Mathematics 2022-07-22 Liangzu Peng , Mahyar Fazlyab , René Vidal

We propose the first general and scalable framework to design certifiable algorithms for robust geometric perception in the presence of outliers. Our first contribution is to show that estimation using common robust costs, such as truncated…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Heng Yang , Luca Carlone

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

Nonlinear estimation in robotics and vision is typically plagued with outliers due to wrong data association, or to incorrect detections from signal processing and machine learning methods. This paper introduces two unifying formulations…

Computer Vision and Pattern Recognition · Computer Science 2021-07-05 Pasquale Antonante , Vasileios Tzoumas , Heng Yang , Luca Carlone

Correspondence-based point cloud registration (PCR) plays a key role in robotics and computer vision. However, challenges like sensor noises, object occlusions, and descriptor limitations inevitably result in numerous outliers. RANSAC…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Pengcheng Shi , Shaocheng Yan , Yilin Xiao , Xinyi Liu , Yongjun Zhang , Jiayuan Li

Correspondence-based point cloud registration is a cornerstone in robotics perception and computer vision, which seeks to estimate the best rigid transformation aligning two point clouds from the putative correspondences. However, due to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Lei Sun , Lu Deng

Recent results showed that point cloud registration with given correspondences can be made robust to outlier rates of up to 95\% using the truncated least squares (TLS) formulation. However, solving this combinatorial optimization problem…

Computer Vision and Pattern Recognition · Computer Science 2025-08-22 Ivo Ivanov , Carsten Markgraf

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

3D point cloud registration ranks among the most fundamental problems in remote sensing, photogrammetry, robotics and geometric computer vision. Due to the limited accuracy of 3D feature matching techniques, outliers may exist, sometimes…

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

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

RANSAC is a popular technique for estimating model parameters in the presence of outliers. The best speed is achieved when the minimum possible number of points is used to estimate hypotheses for the model. Many useful problems can be…

Computer Vision and Pattern Recognition · Computer Science 2010-07-09 Edward Rosten , Gerhard Reitmayr , Tom Drummond

Outlier detection is an integral part of robust evaluation for crowdsourceable Quality of Experience (QoE) and has attracted much attention in recent years. In QoE for multimedia, outliers happen because of different test conditions, human…

Multimedia · Computer Science 2014-10-23 Qianqian Xu , Ming Yan , Yuan Yao

The presence of groups containing high leverage outliers makes linear regression a difficult problem due to the masking effect. The available high breakdown estimators based on Least Trimmed Squares often do not succeed in detecting masked…

Computation · Statistics 2011-03-23 L. Pitsoulis , G. Zioutas

In this paper, we present IRON (Invariant-based global Robust estimation and OptimizatioN), a non-minimal and highly robust solution for point cloud registration with a great number of outliers among the correspondences. To realize this, we…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Lei Sun

Consider the problem of registering multiple point sets in some $d$-dimensional space using rotations and translations. Assume that there are sets with common points, and moreover the pairwise correspondences are known for such sets. We…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Sk. Miraj Ahmed , Niladri Ranjan Das , Kunal Narayan Chaudhury

We study the problem of robust subspace recovery (RSR) in the presence of adversarial outliers. That is, we seek a subspace that contains a large portion of a dataset when some fraction of the data points are arbitrarily corrupted. We first…

Machine Learning · Computer Science 2019-04-09 Tyler Maunu , Gilad Lerman
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