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Related papers: HexDom: Polycube-Based Hexahedral-Dominant Mesh Ge…

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In this article, we provide a detailed survey of techniques for hexahedral mesh generation. We cover the whole spectrum of alternative approaches to mesh generation, as well as post processing algorithms for connectivity editing and mesh…

Indirect hex-dominant meshing methods rely on the detection of adjacent tetrahedra an algorithm that performs this identification and builds the set of all possible combinations of tetrahedral elements of an input mesh T into hexahedra,…

Computational Geometry · Computer Science 2018-01-08 Jeanne Pellerin , Amaury Johnen , Kilian Verhetsel , Jean-Francois Remacle

HEXME consists of tetrahedral meshes with tagged features, and of a workflow to generate them. The main purpose of HEXME meshes is to enable consistent and fair evaluation of hexahedral meshing algorithms and related techniques. The…

Computational Geometry · Computer Science 2021-11-22 Pierre-Alexandre Beaufort , Maxence Reberol , Heng Liu , Franck Ledoux , David Bommes

Hex-dominant mesh generation has received significant attention in recent research due to its superior robustness compared to pure hex-mesh generation techniques. In this work, we introduce the first structure for analyzing hex-dominant…

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

Hexahedral meshes are widely used in simulation pipelines, yet automatic generation remains challenging for complex CAD geometries. Polycube-based hexahedral meshing is a representative approach due to its regular, parameterization-friendly…

Graphics · Computer Science 2026-05-21 Lu He , Qitao Deng , Junjiang Deng , Liangbin Deng , Yanjun Liang , Wenting Yang , Guoqiang Wang , Na Lei

In this paper, we present a novel algorithm that integrates deep learning with the polycube method (DL-Polycube) to generate high-quality hexahedral (hex) meshes, which are then used to construct volumetric splines for isogeometric…

Computational Geometry · Computer Science 2024-10-25 Yuxuan Yu , Yuzhuo Fang , Hua Tong , Yongjie Jessica Zhang

Standard PolyCube-based hexahedral (hex) meshing methods aim to deform the input domain into an axis-aligned PolyCube volume with integer corners; if this deformation is bijective, then applying the inverse map to the voxelized PolyCube…

Graphics · Computer Science 2021-09-15 Lingxiao Li , Paul Zhang , Dmitriy Smirnov , S. Mazdak Abulnaga , Justin Solomon

Two important classes of three-dimensional elements in computational meshes are hexahedra and tetrahedra. While several efficient methods exist that convert a hexahedral element to a tetrahedral elements, the existing algorithm for…

Computational Geometry · Computer Science 2023-01-23 Aman Timalsina , Matthew G. Knepley

In this paper, we propose DDPM-Polycube, a generative polycube creation approach based on denoising diffusion probabilistic models (DDPM) for generating high-quality hexahedral (hex) meshes and constructing volumetric splines. Unlike…

Graphics · Computer Science 2025-03-19 Yuxuan Yu , Yuzhuo Fang , Hua Tong , Jiashuo Liu , Yongjie Jessica Zhang

In this paper, we present two software packages, HexGen and Hex2Spline, that seamlessly integrate geometry design with isogeometric analysis (IGA) in LS-DYNA. Given a boundary representation of a solid model, HexGen creates a hexahedral…

Computational Geometry · Computer Science 2020-12-01 Yuxuan Yu , Xiaodong Wei , Angran Li , Jialei Ginny Liu , Jeffrey He , Yongjie Jessica Zhang

Polycube structures provide parametric domains for all-hexahedral (all-hex) mesh generation and analysis-suitable volumetric spline construction in isogeometric analysis (IGA). Recent learning-based polycube pipelines have improved…

Computational Engineering, Finance, and Science · Computer Science 2026-04-21 Yuxuan Yu , Jiashuo Liu , Hua Tong , Honghua Lou , Yongjie Jessica 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

We present a new software package, "HybridOctree_Hex," for adaptive all-hexahedral mesh generation based on hybrid octree and quality improvement with Jacobian control. The proposed HybridOctree_Hex begins by detecting curvatures and narrow…

Computational Geometry · Computer Science 2024-01-17 Hua Tong , Eni Halilaj , Yongjie Jessica Zhang

We describe a semi-structured method for the generation of high-order hybrid meshes suited for the simulation of high Reynolds number flows. This is achieved through the use of highly stretched elements in the viscous boundary layers near…

This paper describes a novel method of generating hex-dominant meshes using pre-computed optimal subdivisions of the unit cube in a grid-based approach. Our method addresses geometries that are standard in mechanical engineering and often…

Computational Geometry · Computer Science 2023-07-19 Henrik Stromberg , Valentin Mayer-Eichberger , Armin Lohrengel

We show that any polyhedron forming a topological ball with an even number of quadrilateral sides can be partitioned into O(n) topological cubes, meeting face to face. The result generalizes to non-simply-connected polyhedra satisfying an…

Computational Geometry · Computer Science 2010-01-21 David Eppstein

The generation of production-ready quad-dominant meshes is a cornerstone of modern 3D content creation. Generating anisotropic quad-dominant meshes from point clouds is challenging, as existing methods are typically limited to producing…

We introduce HexaLab: a WebGL application for real time visualization, exploration and assessment of hexahedral meshes. HexaLab can be used by simply opening www.hexalab.net. Our visualization tool targets both users and scholars.…

Graphics · Computer Science 2019-03-18 Matteo Bracci , Marco Tarini , Nico Pietroni , Marco Livesu , Paolo Cignoni

The creation of a volumetric mesh representing the interior of an input polygonal mesh is a common requirement in graphics and computational mechanics applications. Most mesh creation techniques assume that the input surface is not…

In this paper, we present a solution that uses the least number of hexahedra to build a pyramid, which is the key block required for one type of automatic hex-meshing method to be successful. When the initial result of a hex-meshing program…

Computational Geometry · Computer Science 2018-07-26 Shang Xiang , Jianfei Liu
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