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Scaling artist-designed meshes to high triangle numbers remains challenging for autoregressive generative models. Existing transformer-based methods suffer from long-sequence bottlenecks and limited quantization resolution, primarily due to…

Graphics · Computer Science 2025-11-17 Rui Xu , Tianyang Xue , Qiujie Dong , Le Wan , Zhe Zhu , Peng Li , Zhiyang Dou , Cheng Lin , Shiqing Xin , Yuan Liu , Wenping Wang , Taku Komura

We present TriMe++, a multi-threaded software library designed for generating two-dimensional meshes for intricate geometric shapes using the Delaunay triangulation. Multi-threaded parallel computing is implemented throughout the meshing…

Computational Geometry · Computer Science 2024-12-10 Jiayin Lu , Chris H. Rycroft

Recent probabilistic methods for 3D triangular meshes capture diverse shapes by differentiable mesh connectivity, but face high computational costs with increased shape details. We introduce a new differentiable mesh processing method that…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Matthew Fisher , Zexiang Xu , Yi-Ling Qiao , Ming C. Lin , Yi Zhou

We propose a two-stage algorithm for generating Delaunay triangulations in 2D and Delaunay tetrahedra in 3D that employs near maximal Poisson-disk sampling. The method generates a variable resolution mesh in 2- and 3-dimensions in linear…

Numerical Analysis · Mathematics 2021-05-24 Johannes Krotz , Matthew R. Sweeney , Carl W. Gable , Jeffrey D. Hyman , Juan M. Restrepo

Computational mathematics plays an increasingly important role in computational fluid dynamics (CFD). The aeronautics and aerospace re- search community is working on next generation of CFD capacity that is accurate, automatic, and fast. A…

Computational Geometry · Computer Science 2015-07-15 Guojun G Liao , Xi Chen , Xianxin Cai , Ben Hildebrand , Dion Fleitas

Triangle meshes remain the most popular data representation for surface geometry. This ubiquitous representation is essentially a hybrid one that decouples continuous vertex locations from the discrete topological triangulation.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Marie-Julie Rakotosaona , Noam Aigerman , Niloy Mitra , Maks Ovsjanikov , Paul Guerrero

In the domain of 3D content creation, achieving optimal mesh topology through AI models has long been a pursuit for 3D artists. Previous methods, such as MeshGPT, have explored the generation of ready-to-use 3D objects via mesh…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Xianglong He , Junyi Chen , Di Huang , Zexiang Liu , Xiaoshui Huang , Wanli Ouyang , Chun Yuan , Yangguang Li

This paper presents a new method to generate iso-scallop tool paths for triangular mesh surfaces. With the popularity of 3D scanning techniques, scanning-derived mesh surfaces have seen a significant increase in their application to…

Graphics · Computer Science 2020-04-21 Qiang Zou

Mesh generation is a crucial step in numerical simulations, significantly impacting simulation accuracy and efficiency. However, generating meshes remains time-consuming and requires expensive computational resources. In this paper, we…

Graphics · Computer Science 2024-07-03 Jiaming Peng , Xinhai Chen , Jie Liu

In this paper, we analyze the complexity of natural parallelizations of Delaunay refinement methods for mesh generation. The parallelizations employ a simple strategy: at each iteration, they choose a set of ``independent'' points to insert…

Computational Geometry · Computer Science 2007-05-23 Dan A. Spielman , Shang-hua Teng , Alper Ungor

Generating high-quality meshes with complex structures and realistic surfaces is the primary goal of 3D generative models. Existing methods typically employ sequence data or deformable tetrahedral grids for mesh generation. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Ruowei Wang , Jiaqi Li , Dan Zeng , Xueqi Ma , Zixiang Xu , Jianwei Zhang , Qijun Zhao

Articulated 3D object generation is fundamental for creating realistic, functional, and interactable virtual assets which are not simply static. We introduce MeshArt, a hierarchical transformer-based approach to generate articulated 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Daoyi Gao , Yawar Siddiqui , Lei Li , Angela Dai

The efficient generation of meshes is an important step in the numerical solution of various problems in physics and engineering. We are interested in situations where global mesh quality and tight coupling to the physical solution is…

Numerical Analysis · Mathematics 2014-06-12 Alexander Bihlo , Ronald D. Haynes

We present a novel algorithm to compute multi-scale curvature fields on triangle meshes. Our algorithm is based on finding robust mean curvatures using the ball neighborhood, where the radius of a ball corresponds to the scale of the…

Graphics · Computer Science 2016-11-01 Patrick Seemann , Simon Fuhrmann , Stefan Guthe , Fabian Langguth , Michael Goesele

The efficient generation of meshes is an important component in the numerical solution of problems in physics and engineering. Of interest are situations where global mesh quality and a tight coupling to the solution of the physical partial…

Numerical Analysis · Mathematics 2015-04-02 Alexander Bihlo , Ronald D. Haynes , Emily J. Walsh

We present a differentiable representation, DMesh, for general 3D triangular meshes. DMesh considers both the geometry and connectivity information of a mesh. In our design, we first get a set of convex tetrahedra that compactly tessellates…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Sanghyun Son , Matheus Gadelha , Yang Zhou , Zexiang Xu , Ming C. Lin , Yi Zhou

We present MeshODE, a scalable and robust framework for pairwise CAD model deformation without prespecified correspondences. Given a pair of shapes, our framework provides a novel shape feature-preserving mapping function that continuously…

Graphics · Computer Science 2020-05-26 Jingwei Huang , Chiyu Max Jiang , Baiqiang Leng , Bin Wang , Leonidas Guibas

Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

This paper presents a distributed memory method for anisotropic mesh adaptation that is designed to avoid the use of collective communication and global synchronization techniques. In the presented method, meshing functionality is separated…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Kevin Garner , Polykarpos Thomadakis , Nikos Chrisochoides

3D meshes are a fundamental representation widely used in computer science and engineering. In robotics, they are particularly valuable because they capture objects in a form that aligns directly with how robots interact with the physical…

Robotics · Computer Science 2026-01-01 Qian Wang , Omar Abdellall , Tony Gao , Xiatao Sun , Daniel Rakita
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