Bézier Representation of Trim Curves

Lasser, Dieter; Bonneau, Georges-Pierre

doi:10.1007/978-3-7091-7584-2_16

Cited by 3 publications

(1 citation statement)

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“…Trimming curves are discretized with a good approximation relying on a faithful mapping to a set of 3D Bézier curves. Based on the fact that a 2D Bézier curve can be mapped into a 3D Bézier curve faithfully if the curve lies on a tensor‐product Bézier surface, we follow the methodology presented by Lasser et al [LB95]. To summarize, the Bézier equivalents of trimming curves are divided by the knot spans of the decomposed Bézier surfaces of the NURBS surface such that each Bézier curve segment is restricted within one Bézier surface.…”

Section: Ball Coveringmentioning

confidence: 99%

Delaunay Meshing and Repairing of NURBS Models

Xiao

Alliez

Busé

et al. 2021

Computer Graphics Forum

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CAD models represented by NURBS surface patches are often hampered with defects due to inaccurate representations of trimming curves. Such defects make these models unsuitable to the direct generation of valid volume meshes, and often require trial‐and‐error processes to fix them. We propose a fully automated Delaunay‐based meshing approach which can mesh and repair simultaneously, while being independent of the input NURBS patch layout. Our approach proceeds by Delaunay filtering and refinement, in which trimmed areas are repaired through implicit surfaces. Beyond repair, we demonstrate its capability to smooth out sharp features, defeature small details, and mesh multiple domains in contact.

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Section: Ball Coveringmentioning

confidence: 99%