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The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

Numerical Analysis · Mathematics 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

Primitive-based splatting methods like 3D Gaussian Splatting have revolutionized novel view synthesis with real-time rendering. However, their point-based representations remain incompatible with mesh-based pipelines that power AR/VR and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Jan Held , Sanghyun Son , Renaud Vandeghen , Daniel Rebain , Matheus Gadelha , Yi Zhou , Anthony Cioppa , Ming C. Lin , Marc Van Droogenbroeck , Andrea Tagliasacchi

In this work, we explore the idea that effective generative models for point clouds under the autoencoding framework must acknowledge the relationship between a continuous surface, a discretized mesh, and a set of points sampled from the…

Machine Learning · Computer Science 2019-12-10 Austin Dill , Chun-Liang Li , Songwei Ge , Eunsu Kang

Surfaces are typically represented as meshes, which can be extracted from volumetric fields via meshing or optimized directly as surface parameterizations. Volumetric representations occupy 3D space and have a large effective receptive…

Graphics · Computer Science 2026-02-03 Ruiqi Zhang , Jiacheng Wu , Jie Chen

Accurate modeling of complex physical problems, such as fluid-structure interaction, requires multiphysics coupling across the interface, which often has intricate geometry and dynamic boundaries. Conventional numerical methods face…

Numerical Analysis · Mathematics 2023-08-08 Yunlong Li , Fei Wang

Human Mesh Recovery (HMR) from a single RGB image is a highly ambiguous problem, as an infinite set of 3D interpretations can explain the 2D observation equally well. Nevertheless, most HMR methods overlook this issue and make a single…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Guénolé Fiche , Simon Leglaive , Xavier Alameda-Pineda , Francesc Moreno-Noguer

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

We present a global optimizer, based on a conditional generative neural network, which can output ensembles of highly efficient topology-optimized metasurfaces operating across a range of parameters. A key feature of the network is that it…

Machine Learning · Computer Science 2019-07-18 Jiaqi Jiang , Jonathan A. Fan

We propose MeshOn, a method that finds physically and semantically realistic compositions of two input meshes. Given an accessory, a base mesh with a user-defined target region, and optional text strings for both meshes, MeshOn uses a…

Graphics · Computer Science 2026-04-13 Hyunwoo Kim , Itai Lang , Hadar Averbuch-Elor , Silvia Sellán , Rana Hanocka

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

This work addresses the inverse identification of apparent elastic properties of random heterogeneous materials using machine learning based on artificial neural networks. The proposed neural network-based identification method requires the…

Machine Learning · Computer Science 2021-02-12 Florent Pled , Christophe Desceliers , Tianyu Zhang

When obtaining interior 3D voxel data from triangular meshes, most existing methods fail to handle low quality meshes which happens to take up a big portion on the internet. In this work we present a robust voxelization method that is based…

Graphics · Computer Science 2021-07-22 Joseph Chen , Ko-Wei Tai , Wen-Chin Chen , Ming Ouhyoung

This paper presents a method to generate valid high order meshes with optimized geometrical accuracy. The high order meshing procedure starts with a linear mesh, that is subsequently curved without taking care of the validity of the high…

Computational Physics · Physics 2016-03-23 Thomas Toulorge , Jonathan Lambrechts , Jean-François Remacle

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

This chapter aims at introducing and discussing the techniques for the generation of 3D Finite Element Meshes of human organs. The field of computer assisted surgery is more specifically addressed.

Medical Physics · Physics 2009-11-20 Claudio Lobos , Yohan Payan , Nancy Hitschfeld

Texture synthesis is a fundamental problem in computer graphics that would benefit various applications. Existing methods are effective in handling 2D image textures. In contrast, many real-world textures contain meso-structure in the 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Yi-Hua Huang , Yan-Pei Cao , Yu-Kun Lai , Ying Shan , Lin Gao

Surface matching usually provides significant deformations that can lead to structural failure due to the lack of physical policy. In this context, partial surface matching of non-linear deformable bodies is crucial in engineering to govern…

Artificial Intelligence · Computer Science 2023-03-17 Alban Odot , Guillaume Mestdagh , Yannick Privat , Stéphane Cotin

In the context of numerical solution of PDEs, dynamic mesh redistribution methods (r-adaptive methods) are an important procedure for increasing the resolution in regions of interest, without modifying the connectivity of the mesh. Key to…

Numerical Analysis · Mathematics 2018-10-17 Chris J. Budd , Andrew T. T. McRae , Colin J. Cotter

We present a simple yet general and efficient approach to representation of computational meshes. Meshes are represented as sets of mesh entities of different topological dimensions and their incidence relations. We discuss a…

Numerical Analysis · Mathematics 2012-05-15 Anders Logg

Mesh-based simulations provide high-fidelity solutions to partial differential equations (PDEs), but achieving such accuracy typically requires fine meshes, leading to substantial computational overhead. Super-resolution techniques aim to…

Machine Learning · Computer Science 2026-05-12 Jiyeon Kim , Youngjoon Hong , Won-Yong Shin
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