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This paper addresses the issue of matching rigid 3D object points with 2D image points through point registration based on maximum likelihood principle in computer simulated images. Perspective projection is necessary when transforming 3D…

Computer Vision and Pattern Recognition · Computer Science 2018-03-08 Jing Wu

This paper addresses the problem of registering multiple point sets. Solutions to this problem are often approximated by repeatedly solving for pairwise registration, which results in an uneven treatment of the sets forming a pair: a model…

Computer Vision and Pattern Recognition · Computer Science 2018-10-15 Georgios Evangelidis , Radu Horaud

Registration of multi-view point sets is a prerequisite for 3D model reconstruction. To solve this problem, most of previous approaches either partially explore available information or blindly utilize unnecessary information to align each…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Jihua Zhu , Jing Zhang , Huimin Lu , Zhongyu Li

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

This paper presents a robust probabilistic point registration method for estimating the rigid transformation (i.e. rotation matrix and translation vector) between two pointcloud dataset. The method improves the robustness of point…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Saman Fahandezh-Saadi , Di Wang , Masayoshi Tomizuka

Probabilistic point-set registration methods have been gaining more attention for their robustness to noise, outliers and occlusions. However, these methods tend to be much slower than the popular iterative closest point (ICP) algorithms,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Wei Gao , Russ Tedrake

This paper presents a framework for rigid point-set registration and merging using a robust continuous data representation. Our point-set representation is constructed by training a one-class support vector machine with a Gaussian radial…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Dylan Campbell , Lars Petersson

In robotic inspection, joint registration of multiple point clouds is an essential technique for estimating the transformation relationships between measured parts, such as multiple blades in a propeller. However, the presence of noise and…

Robotics · Computer Science 2024-09-17 Lingjie Su , Wei Xu , Shuyang Zhao , Yuqi Cheng , Wenlong Li

Point set registration is a key component in many computer vision tasks. The goal of point set registration is to assign correspondences between two sets of points and to recover the transformation that maps one point set to the other.…

Computer Vision and Pattern Recognition · Computer Science 2010-11-09 Andriy Myronenko , Xubo Song

Estimators derived from an EM algorithm are not robust since they are based on the maximization of the likelihood function. We propose a proximal-point algorithm based on the EM algorithm which aim to minimize a divergence criterion.…

Computation · Statistics 2016-07-11 Diaa Al Mohamad , Michel Broniatowski

We perform detailed theoretical analysis of an expectation-maximization-based algorithm recently proposed in for solving a variation of the 3D registration problem, named multi-model 3D registration. Despite having shown superior empirical…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 David Jin , Harry Zhang , Kai Chang

Matching 3D rigid point clouds in complex environments robustly and accurately is still a core technique used in many applications. This paper proposes a new architecture combining error estimation from sample covariances and dual global…

Computer Vision and Pattern Recognition · Computer Science 2017-07-28 Can Pu , Nanbo Li , Robert B Fisher

Recently, Expectation-maximization (EM) algorithm has been introduced as an effective means to solve multi-view registration problem. Most of the previous methods assume that each data point is drawn from the Gaussian Mixture Model (GMM),…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Yanlin Ma , Jihua Zhu , Zhongyu Li , Zhiqiang Tian , Yaochen Li

Point set registration is an essential step in many computer vision applications, such as 3D reconstruction and SLAM. Although there exist many registration algorithms for different purposes, however, this topic is still challenging due to…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Jin Zhang , Mingyang Zhao , Xin Jiang , Dong-Ming Yan

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

Machine Learning · Statistics 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

We consider maximum likelihood estimation for Gaussian Mixture Models (Gmms). This task is almost invariably solved (in theory and practice) via the Expectation Maximization (EM) algorithm. EM owes its success to various factors, of which…

Machine Learning · Statistics 2018-06-04 Reshad Hosseini , Suvrit Sra

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing maximum likelihood estimate when dealing with Gaussian Mixture Model (GMM). When the sample size is smaller than the data dimension, this could lead…

Machine Learning · Statistics 2023-07-06 Pierre Houdouin , Matthieu Jonkcheere , Frederic Pascal

Point cloud registration is a fundamental problem in computer vision and robotics, involving the alignment of 3D point sets captured from varying viewpoints using depth sensors such as LiDAR or structured light. In modern robotic systems,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Ashutosh Singandhupe , Sanket Lokhande , Hung Manh La

Mixtures of $r$ independent distributions for two discrete random variables can be represented by matrices of nonnegative rank $r$. Likelihood inference for the model of such joint distributions leads to problems in real algebraic geometry…

Statistics Theory · Mathematics 2015-03-06 Kaie Kubjas , Elina Robeva , Bernd Sturmfels

Over the past decades, there has been a surge of interest in studying low-dimensional structures within high-dimensional data. Statistical factor models $-$ i.e., low-rank plus diagonal covariance structures $-$ offer a powerful framework…

Machine Learning · Statistics 2025-05-20 Daniel Cederberg
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