Sheet operation based block decomposition of solid models for hex meshing

Wang, Rui; Shen, Chengji; Chen, Jin‐Ming; Wu, Haiyan; Gao, Shiming

doi:10.1016/j.cad.2016.07.016

Cited by 20 publications

(3 citation statements)

References 15 publications

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“…Our approach uses hexahedral sheets [9], [10] instead of base-complex sheets, and merges sheets for creating a LoD structure instead of directly visualizing a subset of them. The use of hexahedral sheets for hex-mesh construction, simplification and reparameterization is thoroughly discussed in the work by [11].…”

Section: Related Workmentioning

confidence: 99%

“…In Figure 11, we reproduce images from Woodbury et al to illustrate the relationship between these two topology-based groups. In a number of works, the concept of hexahedral sheets has been utilized for hex-mesh construction and simplification [41], as well as re-meshing [11]. We make use in particular of sheet-based topology simplification, by successively collapsing pairs of neighboring sheets.…”

Section: Level Of Detail Structurementioning

confidence: 99%

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Interactive Focus+Context Rendering for Hexahedral Mesh Inspection

Neuhauser,

Wang,

Westermann

2020

Preprint

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The visual inspection of a hexahedral mesh with respect to element quality is difficult due to clutter and occlusions that are produced when rendering all element faces or their edges simultaneously. Current approaches overcome this problem by using focus on specific elements that are then rendered opaque, and carving away all elements occluding their view. In this work, we make use of advanced GPU shader functionality to generate a focus+context rendering that highlights the elements in a selected region and simultaneously conveys the global mesh structure in the surrounding. To achieve this, we propose a gradual transition from edge-based focus rendering to volumetric context rendering, by combining fragment shader-based edge and face rendering with per-pixel fragment lists. A fragment shader smoothly transitions between wireframe and face-based rendering, including focus-dependent rendering style and depth-dependent edge thickness and halos, and per-pixel fragment lists are used to blend fragments in correct visibility order. To maintain the global mesh structure in the context regions, we propose a new method to construct a sheet-based level-of-detail hierarchy and smoothly blend it with volumetric information. The user guides the exploration process by moving a lens-like hotspot. Since all operations are performed on the GPU, interactive frame rates are achieved even for large meshes.

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Section: Related Workmentioning

confidence: 99%

Section: Level Of Detail Structurementioning

confidence: 99%

Interactive Focus+Context Rendering for Hexahedral Mesh Inspection

Neuhauser,

Wang,

Westermann

2020

Preprint

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“…Wang et al . [WSC*17] proposed an automated block decomposition method based on sheet operations, which generates a block decomposition from which a high‐quality hex‐mesh stems. They start from a B‐rep solid model, compute the relative tet‐mesh and finally extract a hex‐mesh.…”

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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