Section: New Results
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
Participant : Bernard Mourrain.
In the paper [14], we propose a general framework
for constructing IGA-suitable planar B-spline param-eterizations from
given complex CAD boundaries. Instead of the computational domain
bounded by four B-spline curves, planar domains with high genus and
more complex boundary curves are considered. Firstly, some
pre-processing operations including Bézier extraction and subdivision
are performed on each boundary curve in order to generate a
high-quality planar parameterization; then a robust planar domain
partition framework is proposed to construct high-quality
patch-meshing results with few singularities from the discrete
boundary formed by connecting the end points of the resulting boundary
segments. After the topology information generation of quadrilateral
decomposition, the optimal placement of interior Bézier curves
corresponding to the interior edges of the quadrangulation is
constructed by a global optimization method to achieve a
patch-partition with high quality. Finally, after the imposition of
This is a joint work with Gang Xu (Hanghzou, China), Ming Li (Zhejiang, China), Timon Rabczuk (Weimar, Germany), Jinlan Xu (Hangzhou, China), Stéphane P.A. Bordas (Luxembourg).