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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…

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

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

In this paper, we propose an improved singularity structure simplification method for hexahedral (hex) meshes using a weighted ranking approach. In previous work, the selection of to-be-collapsed base complex sheets/chords is only based on…

Computational Geometry · Computer Science 2019-01-04 Gang Xu , Ran Ling , Jessica Zhang , Zhoufang Xiao , Zhongping Ji , Timon Rabczuk

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

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

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

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

The request for high-quality solutions continually grows in a world where more and more tasks are executed through computers. This also counts for fields such as engineering, computer graphics, etc., which use meshes to solve their…

Graphics · Computer Science 2022-11-11 Luca Schaller

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

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

This article investigates the application of computer vision and graph-based models in solving mesh-based partial differential equations within high-performance computing environments. Focusing on structured, graded structured, and…

Machine Learning · Computer Science 2024-06-04 Jens Decke , Olaf Wünsch , Bernhard Sick , Christian Gruhl

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

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…

With the rapid growth of large online social networks, the ability to analyze large-scale social structure and behavior has become critically important, and this has led to the development of several scalable graph processing systems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-14 Benjamin Heintz , Rankyung Hong , Shivangi Singh , Gaurav Khandelwal , Corey Tesdahl , Abhishek Chandra

Analyzing embedded simplicial complexes, such as triangular meshes and graphs, is an important problem in many fields. We propose a new approach for analyzing embedded simplicial complexes in a subdivision-invariant and isometry-invariant…

Machine Learning · Computer Science 2023-02-28 Taejin Paik

This paper introduces the HEX (High-pressure Elemental Xstals) database, a complete database of the ground-state crystal structures of the first 57 elements of the periodic table, from H to La, at 0, 100, 200 and 300 GPa. HEX aims to…

Materials Science · Physics 2024-03-15 Federico Giannessi , Simone Di Cataldo , Santanu Saha , Lilia Boeri

In this thesis, a computational framework for microstructural modelling of transverse behaviour of heterogeneous materials is presented. The context of this research is part of the broad and active field of Computational Micromechanics,…

Computational Engineering, Finance, and Science · Computer Science 2021-10-05 Marco Lo Cascio
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