Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 48, Issue -, Pages 1-16Publisher
ELSEVIER
DOI: 10.1016/j.cagd.2016.07.002
Keywords
Line/trimmed NURBS intersection; Matrix based implicit representation; Meshing NURBS surfaces; Delaunay refinement
Funding
- Engineering and Physical Sciences Research Council [EP/E025889/1, EP/H030115/1] Funding Source: researchfish
- EPSRC [EP/H030115/1, EP/E025889/1] Funding Source: UKRI
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We contribute a reliable line/surface intersection method for trimmed NURBS surfaces, based on a novel matrix-based implicit representation and numerical methods in linear algebra such as singular value decomposition and the computation of generalized eigenvalues and eigenvectors. A careful treatment of degenerate cases makes our approach robust to intersection points with multiple pre-images. We then apply our intersection algorithm to mesh NURBS surfaces through Delaunay refinement. We demonstrate the added value of our approach in terms of accuracy and treatment of degenerate cases, by providing comparisons with other intersection approaches as well as a variety of meshing experiments. (C) 2016 Elsevier B.V. All rights reserved.
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