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The last decade has witnessed an experimental revolution in data science and machine learning, epitomised by deep learning methods. Indeed, many high-dimensional learning tasks previously thought to be beyond reach -- such as computer…

Machine Learning · Computer Science 2021-05-04 Michael M. Bronstein , Joan Bruna , Taco Cohen , Petar Veličković

Fast and robust three-dimensional reconstruction of facial geometric structure from a single image is a challenging task with numerous applications. Here, we introduce a learning-based approach for reconstructing a three-dimensional face…

Computer Vision and Pattern Recognition · Computer Science 2016-09-27 Elad Richardson , Matan Sela , Ron Kimmel

We introduce a novel approach to automatic unstructured mesh generation using machine learning to predict an optimal finite element mesh for a previously unseen problem. The framework that we have developed is based around training an…

Numerical Analysis · Mathematics 2020-04-16 Zheyan Zhang , Yongxing Wang , Peter K. Jimack , He Wang

Recent experiments in computer vision demonstrate texture bias as the primary reason for supreme results in models employing Convolutional Neural Networks (CNNs), conflicting with early works claiming that these networks identify objects…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Satyam Mohla , Anshul Nasery , Biplab Banerjee

Deep learning has enabled remarkable improvements in grasp synthesis for previously unseen objects from partial object views. However, existing approaches lack the ability to explicitly reason about the full 3D geometry of the object when…

Robotics · Computer Science 2020-03-19 Mark Van der Merwe , Qingkai Lu , Balakumar Sundaralingam , Martin Matak , Tucker Hermans

Mesh denoising is a fundamental problem in digital geometry processing. It seeks to remove surface noise, while preserving surface intrinsic signals as accurately as possible. While the traditional wisdom has been built upon specialized…

Computer Vision and Pattern Recognition · Computer Science 2022-09-05 Honghua Chen , Mingqiang Wei , Jun Wang

Ubiquitous geometric objects can be precisely and efficiently represented as polyhedra. The transformation of a polyhedron into a vector, known as polyhedra representation learning, is crucial for manipulating these shapes with mathematical…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Dazhou Yu , Genpei Zhang , Liang Zhao

Computational modeling of aerodynamics is a key problem in aerospace engineering, often involving flows interacting with solid objects such as airfoils. Deep surrogate models have emerged as purely data-driven approaches that learn direct…

Machine Learning · Computer Science 2024-12-16 Jacob Helwig , Xuan Zhang , Haiyang Yu , Shuiwang Ji

We address the problem of accelerating thin-shell deformable object simulations by dimension reduction. We present a new algorithm to embed a high-dimensional configuration space of deformable objects in a low-dimensional feature space,…

Graphics · Computer Science 2020-03-02 Qingyang Tan , Zherong Pan , Lin Gao , Dinesh Manocha

Open-world 3D reconstruction models have recently garnered significant attention. However, without sufficient 3D inductive bias, existing methods typically entail expensive training costs and struggle to extract high-quality 3D meshes. In…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Minghua Liu , Chong Zeng , Xinyue Wei , Ruoxi Shi , Linghao Chen , Chao Xu , Mengqi Zhang , Zhaoning Wang , Xiaoshuai Zhang , Isabella Liu , Hongzhi Wu , Hao Su

Mesh reconstruction from Neural Radiance Fields (NeRF) is widely used in 3D reconstruction and has been applied across numerous domains. However, existing methods typically rely solely on the given training set images, which restricts…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Haoyang Wang , Liming Liu , Xinggong Zhang

High-quality quadrilateral mesh generation is a fundamental challenge in computer graphics. Traditional optimization-based methods are often constrained by the topological quality of input meshes and suffer from severe efficiency…

Graphics · Computer Science 2026-03-12 Yuguang Chen , Xinhai Liu , Xiangyu Zhu , Yiling Zhu , Zhuo Chen , Dongyu Zhang , Chunchao Guo

Molecular modeling, a central topic in quantum mechanics, aims to accurately calculate the properties and simulate the behaviors of molecular systems. The molecular model is governed by physical laws, which impose geometric constraints such…

Machine Learning · Computer Science 2024-06-25 Tianlang Chen , Shengjie Luo , Di He , Shuxin Zheng , Tie-Yan Liu , Liwei Wang

Graph convolution operators bring the advantages of deep learning to a variety of graph and mesh processing tasks previously deemed out of reach. With their continued success comes the desire to design more powerful architectures, often by…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Shunwang Gong , Mehdi Bahri , Michael M. Bronstein , Stefanos Zafeiriou

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

Machine Learning · Computer Science 2023-11-30 Samuel Burbulla

Most of the recent deep learning-based 3D human pose and mesh estimation methods regress the pose and shape parameters of human mesh models, such as SMPL and MANO, from an input image. The first weakness of these methods is an appearance…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Hongsuk Choi , Gyeongsik Moon , Kyoung Mu Lee

3D shape representation and its processing have substantial effects on 3D shape recognition. The polygon mesh as a 3D shape representation has many advantages in computer graphics and geometry processing. However, there are still some…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Mohsen Yavartanoo , Shih-Hsuan Hung , Reyhaneh Neshatavar , Yue Zhang , Kyoung Mu Lee

We are interested in reconstructing the mesh representation of object surfaces from point clouds. Surface reconstruction is a prerequisite for downstream applications such as rendering, collision avoidance for planning, animation, etc.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Minghua Liu , Xiaoshuai Zhang , Hao Su

Reconstructing high-fidelity hand models with intricate textures plays a crucial role in enhancing human-object interaction and advancing real-world applications. Despite the state-of-the-art methods excelling in texture generation and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Qijun Gan , Wentong Li , Jinwei Ren , Jianke Zhu

The simulation of complex physical systems using a discretized mesh is a cornerstone of applied mechanics, but traditional numerical solvers are often computationally prohibitive for many-query tasks. While Graph Neural Networks (GNNs) have…

Machine Learning · Computer Science 2025-09-24 Kangzheng Liu , Leixin Ma