A Line/Trimmed NURBS Surface Intersection Algorithm Using Matrix Representations - Archive ouverte HAL Access content directly
Journal Articles Computer Aided Geometric Design Year : 2016

A Line/Trimmed NURBS Surface Intersection Algorithm Using Matrix Representations

Abstract

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.
Fichier principal
Vignette du fichier
nurbsmesh-final.pdf (9.26 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01268109 , version 1 (04-02-2016)
hal-01268109 , version 2 (12-07-2016)

Identifiers

Cite

Jingjing Shen, Laurent Busé, Pierre Alliez, Neil Dodgson. A Line/Trimmed NURBS Surface Intersection Algorithm Using Matrix Representations. Computer Aided Geometric Design, 2016, 48, pp.1-16. ⟨10.1016/j.cagd.2016.07.002⟩. ⟨hal-01268109v2⟩
796 View
2432 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More