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Artificial intelligence is beginning to reduce the manual effort in the CAD-to-mesh pipeline. Written for meshing and geometry practitioners with limited AI background, this survey organizes recent work by workflow step. We cover part…

Computational Engineering, Finance, and Science · Computer Science 2026-02-03 Steven Owen , Nathan Brown , Nikos Chrisochoides , Rao Garimella , Xianfeng Gu , Franck Ledoux , Na Lei , Roshan Quadros , Navamita Ray , Nicolas Winovich , Yongjie Jessica Zhang

Triangle meshes play a crucial role in 3D applications for efficient manipulation and rendering. While auto-regressive methods generate structured meshes by predicting discrete vertex tokens, they are often constrained by limited face…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Ruowen Zhao , Junliang Ye , Zhengyi Wang , Guangce Liu , Yiwen Chen , Yikai Wang , Jun Zhu

This article presents an immersed virtual element method for solving a class of interface problems that combines the advantages of both body-fitted mesh methods and unfitted mesh methods. A background body-fitted mesh is generated…

Numerical Analysis · Mathematics 2022-09-02 Shuhao Cao , Long Chen , Ruchi Guo , Frank Lin

4D modeling of human-object interactions is critical for numerous applications. However, efficient volumetric capture and rendering of complex interaction scenarios, especially from sparse inputs, remain challenging. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Yuheng Jiang , Suyi Jiang , Guoxing Sun , Zhuo Su , Kaiwen Guo , Minye Wu , Jingyi Yu , Lan Xu

This work focuses on model preparation for electrostatic simulations of CAD designs to realize a rapid virtual prototyping concept. We present a boundary element method (BEM) allowing discontinuous fields between surfaces. The corresponding…

Computational Engineering, Finance, and Science · Computer Science 2024-12-13 Benjamin Marussig , Thomas Rüberg , Jürgen Zechner , Lars Kielhorn , Thomas-Peter Fries

Controllable, high-fidelity mesh editing remains a significant challenge in 3D content creation. Existing generative methods often struggle with complex geometries and fail to produce detailed results. We propose CraftMesh, a novel…

Graphics · Computer Science 2026-03-31 James Jincheng , Yuxiao Wu , Youcheng Cai , Ligang Liu

Reconstructing surfaces from normals is a key component of photometric stereo. This work introduces an adaptive surface triangulation in the image domain and afterwards performs the normal integration on a triangle mesh. Our key insight is…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Moritz Heep , Eduard Zell

The I-patch is a multi-sided surface representation, defined as a combination of implicit ribbon and bounding surfaces, whose pairwise intersections determine the natural boundaries of the patch. Our goal is to show how a collection of…

Computational Geometry · Computer Science 2022-04-26 Ágoston Sipos , Tamás Várady , Péter Salvi

In this paper, we propose a stochastic geometric iterative method to approximate the high-resolution 3D models by finite Loop subdivision surfaces. Given an input mesh as the fitting target, the initial control mesh is generated using the…

Graphics · Computer Science 2021-07-30 Chenkai Xu , Yaqi He , Hui Hu , Hongwei Lin

This paper proposes a novel discretization workflow for contact problems in which the discretization of the contact interface is decoupled from that of the bulk domain. This separation enables independently tailored meshes for the contact…

Computational Engineering, Finance, and Science · Computer Science 2026-03-03 Eugenia Gabriela Loera Villeda , Ivo Steinbrecher , Alexander Popp

With the emergence of neural radiance fields (NeRFs), view synthesis quality has reached an unprecedented level. Compared to traditional mesh-based assets, this volumetric representation is more powerful in expressing scene geometry but…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Yuan-Chen Guo , Yan-Pei Cao , Chen Wang , Yu He , Ying Shan , Xiaohu Qie , Song-Hai Zhang

In this paper, we introduce a new 3D hex mesh visual analysis system that emphasizes poor-quality areas with an aggregated glyph, highlights overlapping elements, and provides detailed boundary error inspection in three forms. By supporting…

Graphics · Computer Science 2024-03-04 Lei Si , Guoning Chen

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a…

Computational Geometry · Computer Science 2013-07-09 Dimitris Vartziotis , Benjamin Himpel

One remarkable feature of virtual element methods (VEMs) is their great flexibility and robustness when used on almost arbitrary polytopal meshes. This very feature makes it widely used in both fitted and unfitted mesh methods. Despite…

Numerical Analysis · Mathematics 2025-01-09 Ruchi Guo

In this work, we present a boundary and hole detection approach that traverses all the boundaries of an edge-manifold triangular mesh, irrespectively of the presence of singular vertices, and subsequently determines and labels all holes of…

Graphics · Computer Science 2024-07-04 Mauhing Yip , Annette Stahl , Christian Schellewald

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by…

Numerical Analysis · Computer Science 2021-08-04 Thomas C. Clevenger , Timo Heister , Guido Kanschat , Martin Kronbichler

We present an approach for robust high-order mesh generation specially tailored to streamlined bodies. The method is based on a semi-sructured approach which combines the high quality of structured meshes in the near-field with the…

Computational Geometry · Computer Science 2020-11-10 Julian Marcon , Joaquim Peiró , David Moxey , Nico Bergemann , Henry Bucklow , Mark Gammon

This paper addresses the challenges of designing mesh convolution neural networks for 3D mesh dense prediction. While deep learning has achieved remarkable success in image dense prediction tasks, directly applying or extending these…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Shi Hezi , Jiang Luo , Zheng Jianmin , Zeng Jun

X-ray tomographic reconstruction typically uses voxel basis functions to represent volumetric images. Due to the structure in voxel basis representations, efficient ray-tracing methods exist allowing fast, GPU accelerated implementations.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-20 Ander Biguri , Hossein Towsyfyan , Richard Boardman , Thomas Blumensath

We present a novel shape-approximating anisotropic re-meshing algorithm as a geometric generalization of the adaptive moving mesh method. Conventional moving mesh methods reduce the interpolation error of a mesh that discretizes a given…

Computational Geometry · Computer Science 2023-06-21 Nicolas Nebel , Albert Chern
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