Polycube Simplification for Coarse Layouts of Surfaces and Volumes

Cherchi, Gianmarco; Livesu, Marco; Scateni, Riccardo

doi:10.1111/cgf.12959

Cited by 40 publications

(27 citation statements)

References 36 publications

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“…Approaches differ to each other on how the parametric space and the map are generated. High-quality polycubes should balance map distortion with corner count [17,18] [19], achieving a good singularity alignment [2]. As observed in [20], polycubes can be seen as a special case of field-aligned methods [21,1,22,23]; the latter are more general, having internal singularities to improve the element shapes.…”

Section: Hex-mesh Generation and Processingmentioning

confidence: 99%

“…From left to right: complete, unfiltered model; slicingplane filter; peeling filter (two most external layers of cells removed); quality-thresholding filter (hexas with SJ < 0.96 are shown); and the combination of all these filters. "Bunny" model courtesy of [2].…”

Section: Hex-mesh Generation and Processingmentioning

confidence: 99%

“…HexaLab doubles as an easily accessible, online repository of the publicly available hex-meshes produced by different techniques appeared in recent literature. Currently, the repository consists of a total of 272 hex-meshes, from 15 different papers published in the last 7 years: [47,1,19,18,48,20,2,49,15,50,51,52,14,53,54].…”

Section: Online Mesh Repositorymentioning

confidence: 99%

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HexaLab.net: An online viewer for hexahedral meshes

Bracci

Tarini

Pietroni

et al. 2019

Computer-Aided Design

Self Cite

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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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Section: Hex-mesh Generation and Processingmentioning

confidence: 99%

Section: Hex-mesh Generation and Processingmentioning

confidence: 99%

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HexaLab.net: An online viewer for hexahedral meshes

Bracci

Tarini

Pietroni

et al. 2019

Computer-Aided Design

Self Cite

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“…They map the input volume to another parametric space where the final mesh connectivity is generated. With the polycubes spread, new approaches were proposed for meshing [GSZ11, LVS*13] and optimization [CLS16, GDC15]. The added value of these approaches is clear: reasoning with a simple structure (together with a mapping function with the original shape) yields several advantages in terms of efficiency and simplicity of implementation, as a polycube can be trivially hex‐meshed with a regular grid.…”

Section: State Of the Artmentioning

confidence: 99%

Selective Padding for Polycube‐Based Hexahedral Meshing

Cherchi

Alliez

Scateni

et al. 2019

Computer Graphics Forum

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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 the minimum scaled Jacobian (MSJ) or average SJ (ASJ). Improving the quality may be obtained via global padding (or pillowing), which pushes the singularities inside by adding an extra layer of hexahedra on the entire domain boundary. Such a global padding operation suffers from a large increase of complexity, with unnecessary hexahedra added. In addition, the quality of elements near the boundary may decrease. We propose a novel optimization method which inserts sheets of hexahedra so as to perform selective padding, where it is most needed for improving the mesh quality. A sheet can pad part of the domain boundary, traverse the domain and form singularities. Our global formulation, based on solving a binary problem, enables us to control the balance between quality improvement, increase of complexity and number of singularities. We show in a series of experiments that our approach increases the MSJ value and preserves (or even improves) the ASJ, while adding fewer hexahedra than global padding.

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“…Cherchi et al . [CLS16] simplified the layouts of polycube to achieve a simpler structure. Recently, Fang et al .…”

Section: Related Workmentioning

confidence: 99%

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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Polycube Simplification for Coarse Layouts of Surfaces and Volumes

Cited by 40 publications

References 36 publications

HexaLab.net: An online viewer for hexahedral meshes

HexaLab.net: An online viewer for hexahedral meshes

Selective Padding for Polycube‐Based Hexahedral Meshing

Hexahedral Meshing With Varying Element Sizes

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