On Triangular Splines: CAD and Quadrature

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Abstract

The standard representation of CAD (computer aided design) models is based on the boundary representation (B-reps) with trimmed and (topologically) stitched tensor-product NURBS patches. Due to trimming, this leads to gaps and overlaps in the models. While these can be made arbitrarily small for visualisation and manufacturing purposes, they still pose problems in downstream applications such as (isogeometric) analysis and 3D printing. It is therefore worthwhile to investigate conversion methods which (necessarily approximately) convert these models into water-tight or even smooth representations. After briefly surveying existing conversion methods, we will focus on techniques that convert CAD models into triangular spline surfaces of various levels of continuity. In the second part, we will investigate efficient quadrature rules for triangular spline spaces
Original languageEnglish
Title of host publicationGeometric Modeling
Subtitle of host publicationInteroperability and New Challenges (Dagstuhl Seminar 21471)
EditorsFalai Chen, Tor Dokken, Géraldine Morin
PublisherDagstuhl Research Online Publication Server
Pages124
Number of pages1
Publication statusPublished - 11-Apr-2022

Publication series

NameDagstuhl Reports
Number10
Volume11
ISSN (Electronic)2192-5283

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