Skeleton‐driven Adaptive Hexahedral Meshing of Tubular Shapes

Livesu, Marco; Muntoni, Alessandro; Puppo, Enrico; Scateni, Riccardo

doi:10.1111/cgf.13021

Cited by 45 publications

(23 citation statements)

References 44 publications

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“…Gao et al [GMD*16] proposed a structure volume decomposition technique based on a generalized sweeping strategy, which can be used to generate multi-resolution hex-meshes with much simpler structure. In a similar spirit, Livesu et al [LMPS16] skeleton-driven adaptive hex-meshing strategy, which is similar to a previous work by Lin et al [LLD12]. Liu et al [LZLW15] proposed a T-mesh construction technique using a skeleton-based polycubes.…”

Section: Skeleton and Sweeping-based Approachesmentioning

confidence: 86%

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Hexahedral Meshing With Varying Element Sizes

Gao

Deng

et al. 2017

Computer Graphics Forum

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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. However, they typically produce hex‐meshes with uniform element sizes and thus may fail to preserve small‐scale features on the boundary surface. In this work, we present a new framework that enables users to generate hex‐meshes with varying element sizes so that small features will be filled with smaller and denser elements, while the transition from smaller elements to larger ones is smooth, compared to the octree‐based approach. This is achieved by first detecting regions of interest (ROIs) of small‐scale features. These ROIs are then magnified using the as‐rigid‐as‐possible deformation with either an automatically determined or a user‐specified scale factor. A hex‐mesh is then generated from the deformed mesh using existing approaches that produce hex‐meshes with uniform‐sized elements. This initial hex‐mesh is then mapped back to the original volume before magnification to adjust the element sizes in those ROIs. We have applied this framework to a variety of man‐made and natural models to demonstrate its effectiveness.

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Section: Skeleton and Sweeping-based Approachesmentioning

confidence: 86%

“…In a similar spirit, Livesu et al . [LMPS16] proposed a skeleton‐driven adaptive hex‐meshing strategy, which is similar to a previous work by Lin et al . [LLD12].…”

Section: Related Workmentioning

confidence: 92%

Hexahedral Meshing With Varying Element Sizes

Gao

Deng

et al. 2017

Computer Graphics Forum

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“…Mesh is eventually cured [13] to remove imperfections. Common parametric spaces are cylinders [14,15] and orthogonal polyhedra (or polycubes [16]). Approaches differ to each other on how the parametric space and the map are generated.…”

Section: Hex-mesh Generation and Processingmentioning

confidence: 99%

HexaLab.net: An online viewer for hexahedral meshes

Bracci

Tarini

Pietroni

et al. 2019

Computer-Aided Design

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We introduce HexaLab: a WebGL application for real time visualization, exploration and assessment of hexahedral meshes. HexaLab can be used by simply opening www.hexalab.net. Our visualization tool targets both users and scholars. Practitioners who employ hexmeshes for Finite Element Analysis, can readily check mesh quality and assess its usability for simulation. Researchers involved in mesh generation may use HexaLab to perform a detailed analysis of the mesh structure, isolating weak points and testing new solutions to improve on the state of the art and generate high quality images. To this end, we support a wide variety of visualization and volume inspection tools. Our system offers also immediate access to a repository containing all the publicly available meshes produced with the most recent techniques for hexmesh generation. We believe HexaLab, providing a common tool for visualizing, assessing and distributing results, will push forward the recent strive for replicability in our scientific community. Figure 1: A screen-shot of HexaLab running inside Chrome under macOS. Model courtesy of [1]. Intended usagesVisualization: the main function of HexaLab is to serve as an advanced 3D visualizer for hex-meshes, for the purpose of providing a visual insight on the inspected models, and thus, indirectly, on the algorithms that produced them. The visualization of a hex-mesh is complicated by the resolution of the model and, even more so, by the presence of non-trivial 3D internal structures. HexaLab faces this task by offering a set of interactively controlled tools (cutting planes, etc), a shape-revealing realistic lighting (drastically improving the readability of images), novel modalities specifically designed to better communicate the shape of the cells, as well as colormaps and spatial glyphs, to reveal the quality, the topological characteristics, and so on. Assessment: for the same purpose, HexaLab can be used

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“…Paving and Sweeping. The first generation of hex‐meshing algorithms was based on paving (i.e., inserting layers of cubes on a quad mesh boundary) and sweeping (i.e., extruding a quad mesh or a skeleton) [SJ08, GMD*16, LMPS16]. While ideal to produce high‐quality elements in the vicinity of the boundary, the quality of the generated elements is poor in the interior where the multiple advancing fronts meet.…”

Section: Related Workmentioning

confidence: 99%

Feature Preserving Octree‐Based Hexahedral Meshing

Gao

Shen

Panozzo

2019

Computer Graphics Forum

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We propose an octree‐based algorithm to tessellate the interior of a closed surface with hexahedral cells. The generated hexahedral mesh (1) explicitly preserves sharp features of the original input, (2) has a maximal, user‐controlled distance deviation from the input surface, (3) is composed of elements with only positive scaled jacobians (measured by the eight corners of a hex [SEK*07]), and (4) does not have self‐intersections. We attempt to achieve these goals by proposing a novel pipeline to create an initial pure hexahedral mesh from an octree structure, taking advantage of recent developments in the generation of locally injective 3D parametrizations to warp the octree boundary to conform to the input surface. Sharp features in the input are bijectively mapped to poly‐lines in the output and preserved by the deformation, which takes advantage of a scaffold mesh to prevent local and global intersections. The robustness of our technique is experimentally validated by batch processing a large collection of organic and CAD models, without any manual cleanup or parameter tuning. All results including mesh data and statistics in the paper are provided in the additional material. The open‐source implementation will be made available online to foster further research in this direction.

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Skeleton‐driven Adaptive Hexahedral Meshing of Tubular Shapes

Cited by 45 publications

References 44 publications

Hexahedral Meshing With Varying Element Sizes

Hexahedral Meshing With Varying Element Sizes

HexaLab.net: An online viewer for hexahedral meshes

Feature Preserving Octree‐Based Hexahedral Meshing

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