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We present a new fully automatic block-decomposition hexahedral meshing algorithm capable of producing high quality meshes that strictly preserve feature curve networks on the input surface and align with an input surface cross-field. We…

Graphics · Computer Science 2019-06-25 Marco Livesu , Nico Pietroni , Enrico Puppo , Alla Sheffer , Paolo Cignoni

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

The problem of polycube construction or deformation is an essential problem in computer graphics. In this paper, we present a robust, simple, efficient and automatic algorithm to deform the meshes of arbitrary shapes into their polycube…

Graphics · Computer Science 2018-07-24 Hui Zhao , Na Lei , Xuan Li , Peng Zeng , Ke Xu , Xianfeng Gu

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 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…

In this paper, we extend our earlier polycube-based all-hexahedral mesh generation method to hexahedral-dominant mesh generation, and present the HexDom software package. Given the boundary representation of a solid model, HexDom creates a…

Graphics · Computer Science 2021-03-23 Yuxuan Yu , Jialei Ginny Liu , Yongjie Jessica Zhang

Hexahedral meshes are an ubiquitous domain for the numerical resolution of partial differential equations. Computing a pure hexahedral mesh from an adaptively refined grid is a prominent approach to automatic hexmeshing, and requires the…

Graphics · Computer Science 2022-09-07 Marco Livesu , Luca Pitzalis , Gianmarco Cherchi

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

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

Polycube-maps are used as base-complexes in various fields of computational geometry, including the generation of regular all-hexahedral meshes free of internal singularities. However, the strict alignment constraints behind polycube-based…

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

We introduce an integrated meshing and finite element method pipeline enabling black-box solution of partial differential equations in the volume enclosed by a boundary representation. We construct a hybrid hexahedral-dominant mesh, which…

Numerical Analysis · Computer Science 2022-02-04 Teseo Schneider , Jeremie Dumas , Xifeng Gao , Mario Botsch , Daniele Panozzo , Denis Zorin

This paper tackles the challenging problem of constrained hexahedral meshing. An algorithm is introduced to build combinatorial hexahedral meshes whose boundary facets exactly match a given quadrangulation of the topological sphere. This…

Computational Geometry · Computer Science 2019-07-18 Kilian Verhetsel , Jeanne Pellerin , Jean-François Remacle

Constructing an adaptive hexahedral tessellation to fit an input triangle boundary is a key challenge in grid-based methods. The conventional method first removes outside elements (RO) and then projects the axis-aligned boundary onto the…

Computational Geometry · Computer Science 2026-01-07 Hua Tong , Yongjie Jessica Zhang

We develop an all-hex meshing strategy for the interstitial space in beds of densely packed spheres that is tailored to turbulent flow simulations based on the spectral element method (SEM). The SEM achieves resolution through elevated…

Computational Engineering, Finance, and Science · Computer Science 2021-06-03 Yu-Hsiang Lan , Paul Fischer , Elia Merzari , Misun Min

Recently introduced implicit field representations offer an effective way of generating 3D object shapes. They leverage implicit decoder trained to take a 3D point coordinate concatenated with a shape encoding and to output a value which…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Magdalena Proszewska , Marcin Mazur , Tomasz Trzciński , Przemysław Spurek

Non-parametric mesh reconstruction has recently shown significant progress in 3D hand and body applications. In these methods, mesh vertices and edges are visible to neural networks, enabling the possibility to establish a direct mapping…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Shijian Jiang , Guwen Han , Danhang Tang , Yang Zhou , Xiang Li , Jiming Chen , Qi Ye

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

With huge data acquisition progresses realized in the past decades and acquisition systems now able to produce high resolution grids and point clouds, the digitization of physical terrains becomes increasingly more precise. Such extreme…

Geometric feature learning for 3D surfaces is critical for many applications in computer graphics and 3D vision. However, deep learning currently lags in hierarchical modeling of 3D surfaces due to the lack of required operations and/or…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Huan Lei , Naveed Akhtar , Mubarak Shah , Ajmal Mian
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