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In this paper, we introduce 3D-GMNet, a deep neural network for 3D object shape reconstruction from a single image. As the name suggests, 3D-GMNet recovers 3D shape as a Gaussian mixture. In contrast to voxels, point clouds, or meshes, a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Kohei Yamashita , Shohei Nobuhara , Ko Nishino

How to represent a face pattern? While it is presented in a continuous way in our visual system, computers often store and process the face image in a discrete manner with 2D arrays of pixels. In this study, we attempt to learn a continuous…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Liping Zhang , Weijun Li , Linjun Sun , Lina Yu , Xin Ning , Xiaoli Dong , Jian Xu , Hong Qin

Real-time rendering of human head avatars is a cornerstone of many computer graphics applications, such as augmented reality, video games, and films, to name a few. Recent approaches address this challenge with computationally efficient…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Kartik Teotia , Hyeongwoo Kim , Pablo Garrido , Marc Habermann , Mohamed Elgharib , Christian Theobalt

We leverage increasingly popular three-dimensional neural representations in order to construct a unified and consistent explanation of a collection of uncalibrated images of the human face. Our approach utilizes Gaussian Splatting, since…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Haodi He , Jihun Yu , Ronald Fedkiw

We present macrofacet theory to extend microfacet theory from the micro-space to the macro-space. This is achieved by transforming surfaces into volumetric representations that preserve microfacet characteristics. Therefore, we formulate a…

Graphics · Computer Science 2026-05-19 Minghao Huang , Yuang Cui , Beibei Wang , Lingqi Yan

This paper introduces the Gaussian multi-Graphical Model, a model to construct sparse graph representations of matrix- and tensor-variate data. We generalize prior work in this area by simultaneously learning this representation across…

Machine Learning · Statistics 2024-02-28 Bailey Andrew , David Westhead , Luisa Cutillo

3D Gaussian Splatting (3DGS) has demonstrated impressive novel view synthesis performance. While conventional methods require per-scene optimization, more recently several feed-forward methods have been proposed to generate pixel-aligned…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Shengjun Zhang , Xin Fei , Fangfu Liu , Haixu Song , Yueqi Duan

Gaussian graphical models are widely used to represent conditional dependence among random variables. In this paper, we propose a novel estimator for data arising from a group of Gaussian graphical models that are themselves dependent. A…

Machine Learning · Statistics 2016-09-01 Yuying Xie , Yufeng Liu , William Valdar

Traditional explicit 3D representations, such as point clouds and meshes, demand significant storage to capture fine geometric details and require complex indexing systems for surface lookups, making functional representations an efficient,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Panagiotis Sapoutzoglou , George Terzakis , Georgios Floros , Maria Pateraki

Modeling animatable human avatars from videos is a long-standing and challenging problem. While conventional methods require per-instance optimization, recent feed-forward methods have been proposed to generate 3D Gaussians with a learnable…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Yifan Liu , Shengjun Zhang , Chensheng Dai , Yang Chen , Hao Liu , Chen Li , Yueqi Duan

Fitting parameterized models to images of galaxies has become the standard for measuring galaxy morphology. This forward modelling technique allows one to account for the PSF to effectively study semi-resolved galaxies. However, using a…

Astrophysics of Galaxies · Physics 2021-12-22 Tim B. Miller , Pieter van Dokkum

Daily monitoring of intra-personal facial changes associated with health and emotional conditions has great potential to be useful for medical, healthcare, and emotion recognition fields. However, the approach for capturing intra-personal…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Yusuke Akamatsu , Terumi Umematsu , Hitoshi Imaoka , Shizuko Gomi , Hideo Tsurushima

Recent advancements in radiance field rendering show promising results in 3D scene representation, where Gaussian splatting-based techniques emerge as state-of-the-art due to their quality and efficiency. Gaussian splatting is widely used…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Arnab Dey , Cheng-You Lu , Andrew I. Comport , Srinath Sridhar , Chin-Teng Lin , Jean Martinet

Gaussian graphical models are used throughout the natural sciences, social sciences, and economics to model the statistical relationships between variables of interest in the form of a graph. We here provide a pedagogic introduction to…

Statistics Theory · Mathematics 2017-07-17 Caroline Uhler

Precise representations of 3D faces are beneficial to various computer vision and graphics applications. Due to the data discretization and model linearity, however, it remains challenging to capture accurate identity and expression clues…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Mingwu Zheng , Hongyu Yang , Di Huang , Liming Chen

Face hallucination, which is the task of generating a high-resolution face image from a low-resolution input image, is a well-studied problem that is useful in widespread application areas. Face hallucination is particularly challenging…

Computer Vision and Pattern Recognition · Computer Science 2016-04-28 Oncel Tuzel , Yuichi Taguchi , John R. Hershey

In image set classification, a considerable progress has been made by representing original image sets on Grassmann manifolds. In order to extend the advantages of the Euclidean based dimensionality reduction methods to the Grassmann…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

Current personalized neural head avatars face a trade-off: lightweight models lack detail and realism, while high-quality, animatable avatars require significant computational resources, making them unsuitable for commodity devices. To…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Wojciech Zielonka , Timo Bolkart , Thabo Beeler , Justus Thies

Multi-focus image fusion aims to generate an all-in-focus image from a sequence of partially focused input images. Existing fusion algorithms generally assume that, for every spatial location in the scene, there is at least one input image…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Xinzhe Xie , Buyu Guo , Bolin Li , Shuangyan He , Yanzhen Gu , Qingyan Jiang , Peiliang Li

When learning simulations for modeling physical phenomena in industrial designs, geometrical variabilities are of prime interest. While classical regression techniques prove effective for parameterized geometries, practical scenarios often…

Machine Learning · Computer Science 2023-10-24 Fabien Casenave , Brian Staber , Xavier Roynard
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