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Hexahedral mesh generation via constrained quadrilateralization.

Feifei Shang1, Yangke Gan1, Yufei Guo1

  • 1Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China.

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|May 26, 2017
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Summary
This summary is machine-generated.

This study introduces a new hexahedral mesh generation method using constrained quadrilateralization and frame fields. The technique efficiently decomposes volumes, yielding high-quality hexahedral meshes comparable to existing methods.

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Area of Science:

  • Computational geometry
  • Finite element analysis
  • Computer graphics

Background:

  • Generating high-quality hexahedral meshes for volumes is a complex problem in simulations and graphics.
  • Previous methods utilized spatial twist continua and frame fields for hexahedral mesh generation.

Purpose of the Study:

  • To present a novel hexahedral mesh generation method combining spatial twist continua and frame fields with constrained quadrilateralization.
  • To develop a more parallelizable and robust approach to hexahedral mesh generation.

Main Methods:

  • The method extends surface loops into hexahedral element layers using constrained quadrilateralization.
  • A recursive 'divide-and-conquer' strategy is employed to decompose the volume.
  • Input includes tetrahedral mesh, surface quadrilateral mesh, and frame field.

Main Results:

  • The proposed method successfully generates hexahedral meshes from volumetric data.
  • The quality of the generated meshes is comparable to state-of-the-art methods.
  • The 'divide-and-conquer' approach demonstrates suitability for parallelization.

Conclusions:

  • The novel method offers a potentially simpler, more robust, and parallelizable alternative for hexahedral mesh generation.
  • This approach reduces dependency on extensive numerical libraries.
  • The technique contributes to advancing hexahedral mesh generation for simulations and computer graphics.