An extension of the advancing front method to composite geometry. (English) Zbl 1134.65317
Brewer, Michael L. (ed.) et al., Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14–17, 2007. Berlin: Springer (ISBN 978-3-540-75102-1/hbk). 289-314 (2008).
Summary: This paper introduces a new approach to automatic mesh generation over composite geometry. This approach is based on an adaptation of advancing front mesh generation techniques over curved surfaces, and its main features are:
\(\bullet\) elements are generated directiy over multiple parametric surfaces: advancing front propagation is adapted through the extension to composite geometry of propagation direction, propagation length, and target point concepts,
\(\bullet\) each mesh entity is associated with sets of images in each reference entity of the composite geometry,
\(\bullet\) the intersection tests between segments are performed in the parametric domain of their images.
For the entire collection see [Zbl 1122.65002].
\(\bullet\) elements are generated directiy over multiple parametric surfaces: advancing front propagation is adapted through the extension to composite geometry of propagation direction, propagation length, and target point concepts,
\(\bullet\) each mesh entity is associated with sets of images in each reference entity of the composite geometry,
\(\bullet\) the intersection tests between segments are performed in the parametric domain of their images.
For the entire collection see [Zbl 1122.65002].
MSC:
| 65D18 | Numerical aspects of computer graphics, image analysis, and computational geometry |
| 68U05 | Computer graphics; computational geometry (digital and algorithmic aspects) |
