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Robust hex-dominant mesh generation using field-guided polyhedral agglomeration

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Daniele PanozzoAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 36, Issue 4

Article No.: 114, Pages 1 - 13

https://doi.org/10.1145/3072959.3073676

Published: 20 July 2017 Publication History

Abstract

We propose a robust and efficient field-aligned volumetric meshing algorithm that produces hex-dominant meshes, i.e. meshes that are predominantly composed of hexahedral elements while containing a small number of irregular polyhedra. The latter are placed according to the singularities of two optimized guiding fields, which allow our method to generate meshes with an exceptionally high amount of isotropy.

The field design phase of our method relies on a compact quaternionic representation of volumetric octa-fields and a corresponding optimization that explicitly models the discrete matchings between neighboring elements. This optimization naturally supports alignment constraints and scales to very large datasets. We also propose a novel extraction technique that uses field-guided mesh simplification to convert the optimized fields into a hexdominant output mesh. Each simplification operation maintains topological validity as an invariant, ensuring manifold output. These steps easily generalize to other dimensions or representations, and we show how they can be an asset in existing 2D surface meshing techniques.

Our method can automatically and robustly convert any tetrahedral mesh into an isotropic hex-dominant mesh and (with minor modifications) can also convert any triangle mesh into a corresponding isotropic quad-dominant mesh, preserving its genus, number of holes, and manifoldness. We demonstrate the benefits of our algorithm on a large collection of shapes provided in the supplemental material along with all generated results.

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Index Terms

Robust hex-dominant mesh generation using field-guided polyhedral agglomeration
1. Computing methodologies
  1. Computer graphics
    1. Shape modeling
      1. Volumetric models

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 36, Issue 4

August 2017

2155 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3072959

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Copyright © 2017 ACM.

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Published: 20 July 2017

Published in TOG Volume 36, Issue 4

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Cited By

Gao JXiao ZShen SXu CCai JXu G(2025)Improved hexahedral mesh generation from quadrilateral surface meshesComputers & Structures10.1016/j.compstruc.2024.107620307(107620)Online publication date: Jan-2025
https://doi.org/10.1016/j.compstruc.2024.107620
Bukenberger DWang JWu JWestermann R(2024)Stress‐Aligned Hexahedral Lattice StructuresComputer Graphics Forum10.1111/cgf.15265Online publication date: 28-Oct-2024
https://doi.org/10.1111/cgf.15265
Fan LHe FSi TFan RYe CLi B(2024)MBA: Backdoor Attacks Against 3D Mesh ClassifierIEEE Transactions on Information Forensics and Security10.1109/TIFS.2023.334664419(2127-2142)Online publication date: 1-Jan-2024
https://dl.acm.org/doi/10.1109/TIFS.2023.3346644
Lei NZhang PZheng XZhu YLuo Z(2023)Feature Preserving Parameterization for Quadrilateral Mesh Generation Based on Ricci Flow and Cross FieldComputer Modeling in Engineering & Sciences10.32604/cmes.2023.027296137:1(843-857)Online publication date: 2023
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Gunpinar ELivesu MAttene M(2023)Exploration of 3D motorcycle complexes from hexahedral meshesComputers & Graphics10.1016/j.cag.2023.06.005114(105-115)Online publication date: Aug-2023
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Pietroni NCampen MSheffer ACherchi GBommes DGao XScateni RLedoux FRemacle JLivesu M(2022)Hex-Mesh Generation and Processing: A SurveyACM Transactions on Graphics10.1145/355492042:2(1-44)Online publication date: 18-Oct-2022
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