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相关论文: Rigid and Articulated Point Registration with Expe…

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The problem of non-rigid point set registration is a key problem for many computer vision tasks. In many cases the nature of the data or capabilities of the point detection algorithms can give us some prior information on point sets…

计算机视觉与模式识别 · 计算机科学 2018-12-17 Dmitry Lachinov , Vadim Turlapov

This paper tackles the problem of missing data imputation for noisy and non-Gaussian data. A classical imputation method, the Expectation Maximization (EM) algorithm for Gaussian mixture models, has shown interesting properties when…

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…

计算机视觉与模式识别 · 计算机科学 2023-02-21 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

We consider the problem of rigid registration, where we wish to jointly register multiple point sets via rigid transforms. This arises in applications such as sensor network localization, multiview registration, and protein structure…

最优化与控制 · 数学 2019-07-19 Aditya V. Singh , Kunal N. Chaudhury

In this paper, we adopt the Universal Manifold Embedding (UME) framework for the estimation of rigid transformations and extend it, so that it can accommodate scenarios involving partial overlap and differently sampled point clouds. UME is…

计算机视觉与模式识别 · 计算机科学 2024-08-26 Yuval Haitman , Amit Efraim , Joseph M. Francos

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

统计计算 · 统计学 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Expectation Maximization (EM) is among the most popular algorithms for maximum likelihood estimation, but it is generally only guaranteed to find its stationary points of the log-likelihood objective. The goal of this article is to present…

机器学习 · 计算机科学 2018-10-29 Ji Xu , Daniel Hsu , Arian Maleki

Mixed linear regression (MLR) model is among the most exemplary statistical tools for modeling non-linear distributions using a mixture of linear models. When the additive noise in MLR model is Gaussian, Expectation-Maximization (EM)…

机器学习 · 统计学 2021-05-14 Babak Barazandeh , Ali Ghafelebashi , Meisam Razaviyayn , Ram Sriharsha

Point cloud registration is a fundamental problem in 3D computer vision, graphics and robotics. For the last few decades, existing registration algorithms have struggled in situations with large transformations, noise, and time constraints.…

计算机视觉与模式识别 · 计算机科学 2020-08-21 Wentao Yuan , Ben Eckart , Kihwan Kim , Varun Jampani , Dieter Fox , Jan Kautz

Expectation Maximization (EM) is among the most popular algorithms for estimating parameters of statistical models. However, EM, which is an iterative algorithm based on the maximum likelihood principle, is generally only guaranteed to find…

统计理论 · 数学 2016-08-30 Ji Xu , Daniel Hsu , Arian Maleki

We propose to view non-rigid surface registration as a probabilistic inference problem. Given a target surface, we estimate the posterior distribution of surface registrations. We demonstrate how the posterior distribution can be used to…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Dennis Madsen , Andreas Morel-Forster , Patrick Kahr , Dana Rahbani , Thomas Vetter , Marcel Lüthi

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

量子物理 · 物理学 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

The expectation-maximization (EM) algorithm is a well-known iterative method for computing maximum likelihood estimates from incomplete data. Despite its numerous advantages, a main drawback of the EM algorithm is its frequently observed…

统计计算 · 统计学 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

The convergence of expectation-maximization (EM)-based algorithms typically requires continuity of the likelihood function with respect to all the unknown parameters (optimization variables). The requirement is not met when parameters…

信号处理 · 电气工程与系统科学 2024-04-18 Geethu Joseph

Finite Mixture of Regressions (FMR) models are among the most widely used approaches in dealing with the heterogeneity among the observations in regression problems. One of the limitations of current approaches is their inability to…

应用统计 · 统计学 2018-06-25 Haidar Almohri , Arash Ali Amini , Ratna Babu Chinnam

Point cloud registration is a fundamental and challenging problem for autonomous robots interacting in unstructured environments for applications such as object pose estimation, simultaneous localization and mapping, robot-sensor…

机器人学 · 计算机科学 2023-09-29 Michael Gentner , Prajval Kumar Murali , Mohsen Kaboli

We establish a new framework for image registration, which is based on linear elasticity and optimal mass transportation theory. We combine these two arguments in order to obtain a PDE constrained optimization problem that is analytically…

最优化与控制 · 数学 2016-09-15 Jarosław Wlazło , Robert Feßler , René Pinnau , Norbert Siedow , Oliver Tse

We present a new fully-automatic non-rigid 3D shape registration (morphing) framework comprising (1) a new 3D landmarking and pose normalisation method; (2) an adaptive shape template method to accelerate the convergence of registration…

计算机视觉与模式识别 · 计算机科学 2018-09-25 Hang Dai , Nick Pears , William Smith

The expectation-maximization (EM) algorithm is an iterative method for finding maximum likelihood estimates when data are incomplete or are treated as being incomplete. The EM algorithm and its variants are commonly used for parameter…

统计计算 · 统计学 2013-06-26 Ryan P. Browne , Sanjeena Subedi , Paul McNicholas

The Expectation--Maximization (EM) algorithm is a simple meta-algorithm that has been used for many years as a methodology for statistical inference when there are missing measurements in the observed data or when the data is composed of…

机器学习 · 统计学 2022-11-15 Hideitsu Hino , Shotaro Akaho , Noboru Murata