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Partitioning Surfaces Into Quadrilateral Patches: A Survey
(© 2017 The Eurographics Association and John Wiley & Sons Ltd., 2017)
The efficient and practical representation and processing of geometrically or topologically complex shapes often demands a partitioning into simpler patches. Possibilities range from unstructured arrangements of arbitrarily ...
Hexahedral Meshing With Varying Element Sizes
(© 2017 The Eurographics Association and John Wiley & Sons Ltd., 2017)
Hexahedral (or Hex‐) meshes are preferred in a number of scientific and engineering simulations and analyses due to their desired numerical properties. Recent state‐of‐the‐art techniques can generate high‐quality hex‐meshes. ...
Part‐Based Mesh Segmentation: A Survey
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
This paper surveys mesh segmentation techniques and algorithms, with a focus on part‐based segmentation, that is, segmentation that divides a mesh (featuring a 3D object) into meaningful parts. Part‐based segmentation ...
Field‐Aligned Isotropic Surface Remeshing
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
We present a novel isotropic surface remeshing algorithm that automatically aligns the mesh edges with an underlying directional field. The alignment is achieved by minimizing an energy function that combines both centroidal ...
Selective Padding for Polycube‐Based Hexahedral Meshing
(© 2019 The Eurographics Association and John Wiley & Sons Ltd., 2019)
Hexahedral meshes generated from polycube mapping often exhibit a low number of singularities but also poor‐quality elements located near the surface. It is thus necessary to improve the overall mesh quality, in terms of ...
At‐Most‐Hexa Meshes
(© 2022 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2022)
Volumetric polyhedral meshes are required in many applications, especially for solving partial differential equations on finite element simulations. Still, their construction bears several additional challenges compared ...
Image Representation on Curved Optimal Triangulation
(© 2022 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2022)
Image triangulation aims to generate an optimal partition with triangular elements to represent the given image. One bottleneck in ensuring approximation quality between the original image and a piecewise approximation ...
Evocube: A Genetic Labelling Framework for Polycube‐Maps
(© 2022 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2022)
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 ...
A Robust Grid‐Based Meshing Algorithm for Embedding Self‐Intersecting Surfaces
(© 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2024)
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 ...
Quad Mesh Quantization Without a T‐Mesh
(© 2024 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2024)
Grid preserving maps of triangulated surfaces were introduced for quad meshing because the 2D unit grid in such maps corresponds to a sub‐division of the surface into quad‐shaped charts. These maps can be obtained by solving ...