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In this study, we explore the challenge of efficiently representing scenes with a constrained number of Gaussians. Our analysis shifts from traditional graphics and 2D computer vision to the perspective of point clouds, highlighting the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Guangchi Fang , Bing Wang

Recently, 3D Gaussian splatting has gained attention for its capability to generate high-fidelity rendering results. At the same time, most applications such as games, animation, and AR/VR use mesh-based representations to represent and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Jaehoon Choi , Yonghan Lee , Hyungtae Lee , Heesung Kwon , Dinesh Manocha

Gaussian splatting has become a popular representation for novel-view synthesis, exhibiting clear strengths in efficiency, photometric quality, and compositional edibility. Following its success, many works have extended Gaussians to 4D,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Colton Stearns , Adam Harley , Mikaela Uy , Florian Dubost , Federico Tombari , Gordon Wetzstein , Leonidas Guibas

Finite mixture such as the Gaussian mixture is a flexible and powerful probabilistic modeling tool for representing the multimodal distribution widely involved in many estimation and learning problems. The core of it is representing the…

Statistics Theory · Mathematics 2024-01-02 Tiancheng Li , Yan Song , Enbin Song , Hongqi Fan

In order to cluster or partition data, we often use Expectation-and-Maximization (EM) or Variational approximation with a Gaussian Mixture Model (GMM), which is a parametric probability density function represented as a weighted sum of…

Machine Learning · Computer Science 2013-07-04 Ji Won Yoon

For tackling the task of 2D human pose estimation, the great majority of the recent methods regard this task as a heatmap estimation problem, and optimize the heatmap prediction using the Gaussian-smoothed heatmap as the optimization…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Haoxuan Qu , Li Xu , Yujun Cai , Lin Geng Foo , Jun Liu

When humans see a scene, they can roughly imagine the forces applied to objects based on their experience and use them to handle the objects properly. This paper considers transferring this "force-visualization" ability to robots. We…

Robotics · Computer Science 2023-04-13 Ryo Hanai , Yukiyasu Domae , Ixchel G. Ramirez-Alpizar , Bruno Leme , Tetsuya Ogata

Finite mixture of Gaussian distributions provide a flexible semi-parametric methodology for density estimation when the variables under investigation have no boundaries. However, in practical applications variables may be partially bounded…

Methodology · Statistics 2019-12-30 Luca Scrucca

This paper proposes using a sparse-structured multivariate Gaussian to provide a closed-form approximator for the output of probabilistic ensemble models used for dense image prediction tasks. This is achieved through a convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Ivor J. A. Simpson , Sara Vicente , Neill D. F. Campbell

Color names based image representation is successfully used in person re-identification, due to the advantages of being compact, intuitively understandable as well as being robust to photometric variance. However, there exists the diversity…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Yang Yang , Shengcai Liao , Zhen Lei , Stan Z. Li

We consider the problem of estimating complex statistical latent variable models using variational Bayes methods. These methods are used when exact posterior inference is either infeasible or computationally expensive, and they approximate…

Methodology · Statistics 2025-02-28 David Gunawan , David Nott , Robert Kohn

High-fidelity reconstruction of driving scenes is crucial for autonomous driving. While recent feedforward 3D Gaussian Splatting (3DGS) methods enable fast reconstruction, their per-pixel Gaussian prediction paradigm often suffers from…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Cheng Chi , Xianqi Wang , Hongcheng Luo , Mingfei Tu , Gangwei Xu , Zehan Zhang , Bing Wang , Guang Chen , Hangjun Ye , Sida Peng , Xin Yang , Haiyang Sun

Reconstructing photo-realistic drivable human avatars from multi-view image sequences has been a popular and challenging topic in the field of computer vision and graphics. While existing NeRF-based methods can achieve high-quality novel…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Yujiao Jiang , Qingmin Liao , Xiaoyu Li , Li Ma , Qi Zhang , Chaopeng Zhang , Zongqing Lu , Ying Shan

We propose a method for estimating the posterior distribution of a standard geostatistical model. After choosing the model formulation and specifying a prior, we use normal mixture densities to approximate the posterior distribution. The…

Methodology · Statistics 2014-09-10 Zepu Zhang

Non-invasive gaze estimation methods usually regress gaze directions directly from a single face or eye image. However, due to important variabilities in eye shapes and inner eye structures amongst individuals, universal models obtain…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Gang Liu , Yu Yu , Kenneth A. Funes Mora , Jean-Marc Odobez

Examples with bound information on the regression function and density abound in many real applications. We propose a novel approach for estimating such functions by incorporating the prior knowledge on the bounds. Specially, a Gaussian…

Methodology · Statistics 2018-10-30 Jize Zhang , Lizhen Lin

We explore techniques for eye gaze estimation using machine learning. Eye gaze estimation is a common problem for various behavior analysis and human-computer interfaces. The purpose of this work is to discuss various model types for eye…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Aveena Kottwani , Ayush Kumar

High-fidelity 3D simulation is critical for training mobile robots, but its traditional reliance on mesh-based representations often struggle in complex environments, such as densely packed greenhouses featuring occlusions and repetitive…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Diram Tabaa , Gianni Di Caro

Mixed membership models are an extension of finite mixture models, where each observation can partially belong to more than one mixture component. A probabilistic framework for mixed membership models of high-dimensional continuous data is…

We introduce a radiance representation that is both structured and fully explicit and thus greatly facilitates 3D generative modeling. Existing radiance representations either require an implicit feature decoder, which significantly…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Bowen Zhang , Yiji Cheng , Jiaolong Yang , Chunyu Wang , Feng Zhao , Yansong Tang , Dong Chen , Baining Guo