Some aspects of parametric surface meshing

Laug, Patrick

doi:10.1016/j.finel.2009.06.015

Cited by 14 publications

(5 citation statements)

References 7 publications

(11 reference statements)

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“…It is therefore the first order approximation to the surface, the tangent plane, which is very poor. As presented in [9], a unit parametric mesh in the metric of the principal curvature radii does not necessarily guarantee avoidance of tangled elements. It is also stated in the previous work that the normal variation of an anisotropic triangle is very sensitive to the variation of the coordinates of the triangle is used.…”

Section: Surface Untanglingmentioning

confidence: 99%

“…In order to remove this dependence, other characteristics of the surface are advocated, such as the principal radii of curvature. As mentioned in [9], the previous metric tries to bound the distance between the surface and its tessellation. However, no guarantee on the approximation of the tangent plane is given.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, surface anisotropy increases the sensibility to face normal change as a small change in coordinates may produce a large change in the face normal, which does not appear for isotropic three dimensional triangles. The proposition of [9] consists mainly in limiting the anisotropy of the metric. Another class of methods relies on the coupling between the surface tessellation and the display by the graphic card of the resulting triangles.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A robust conforming NURBS tessellation for industrial applications based on a mesh generation approach

Aubry

Dey

Mestreau

et al. 2015

Computer-Aided Design

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Section: Surface Untanglingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A robust conforming NURBS tessellation for industrial applications based on a mesh generation approach

Aubry

Dey

Mestreau

et al. 2015

Computer-Aided Design

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“…In [8] Laug proposed two measures: distance deviation A0 and angle deviation (difference in a normal vector angle) A1. However he did not give any suggestions how to compute the measures and how expensive the calculations are.…”

Section: Fig 1 Maximum Distance and Maximum Curvature Pointsmentioning

confidence: 99%

The Quick Measure of a Nurbs Surface Curvature for Accurate Triangular Meshing

Kniat¹

2014

Polish Maritime Research

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to assess how close is a mesh triangle to the surface to which its vertices belong, is presented. The distance between a mesh triangle and a parallel tangent plane through a point on a surface is the measure of the triangle quality. Finding the surface point whose projection is located inside the mesh triangle and which is the tangency point to the plane parallel to this triangle is an optimization problem.Mathematical description of the problem and the algorithm to find its solution are also presented in the paper.

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“…Instead of directly modifying the analytically defined geometric surfaces, it is much easier to handle facets that are represented by linear entities. Many geometry defeaturing methods [2][3][4][5][6][7] and gaps/overlaps repairing methods [8][9][10][11] are built on top of a discrete model. With regard to intersection removal, the calculation of the intersection of triangulated surface has been well studied.…”

Section: Introductionmentioning

confidence: 99%

PASM: Parallel aligned surface meshing

Cao

Shan

et al. 2021

Numerical Meth Engineering

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Computer-aided design (CAD) models of industrial design are often plagued with a series of defects, including minute features, gaps, self-intersections, and misalignments. The development of schemes in automatic defeaturing, gaps repairing, and intersection removal usually requires a discrete representation of the geometry. However, existing surface meshing methods could not effectively handle sliver surfaces and assemblies with complex contact conditions, including multiple misaligned curves/surfaces and degenerated or free-form-shaped interface of contact. A surface meshing method based on a meshing-and-synchronizing strategy is proposed, which tackles the mesh generation of sliver surfaces and the cleanup of misaligned assemblies by means of mesh alignment. The mesh generation is performed in a hierarchical manner with curves and surfaces being meshed in sequence. By incorporating the synchronization strategy into the curve/surface meshing process, curve/surface mesh alignment is achieved automatically without compromising the mesh quality. Thanks to the alignment, the curve mesh generated by aligned curve meshing (ACM) is free of intersections, which enhances the meshing of sliver surfaces. By enforcing mesh alignment, aligned surface meshing (ASM) can handle misaligned assemblies with complex contact conditions. ASM is parallelized by using OpenMP. Various assemblies characterized with difficult misaligned features and touches are well processed by parallel ASM.

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Some aspects of parametric surface meshing

Cited by 14 publications

References 7 publications

A robust conforming NURBS tessellation for industrial applications based on a mesh generation approach

A robust conforming NURBS tessellation for industrial applications based on a mesh generation approach

The Quick Measure of a Nurbs Surface Curvature for Accurate Triangular Meshing

PASM: Parallel aligned surface meshing

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