Reference : Constructing IGA-suitable planar parameterization from complex CAD boundary by domain...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
Xu, Gang [> >]
Li, Ming [> >]
Mourrain, Bernard [> >]
Rabczuk, Timon [> >]
Xu, Jinlan [> >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
Computer Methods in Applied Mechanics and Engineering
Elsevier Science
Yes (verified by ORBilu)
[en] Isogeometric analysis ; analysis-suitable planar parameterization ; domain partition ; global/local optimization
[en] In this paper, we propose a general framework for constructing IGA-suitable planar B-spline parameterizations 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 B´ezier 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 B´ezier 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 C1/G1-continuity constraints on the interface of neighboring Bezier patches with respect to each quad in the quadrangulation, the high-quality Bezier patch parameterization is obtained by a local optimization method to achieve uniform and orthogonal iso-parametric structures while keeping the continuity conditions between patches. The efficiency and robustness of the proposed method are demonstrated by several examples which are compared to results obtained by the skeleton-based parameterization approach.
Zhejiang Provincial Natural Science Foundation of China under Grant Nos. LR16F020003, LQ16F020005 ; National Nature Science Foundation of China under Grant Nos. 61472111, 61772163, 61602138
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