17/08/2020

Bézier guarding: Precise higher-order meshing of curved 2D domains

Manish Mandad, Marcel Campen

Keywords: isogeometric analysis, curvilinear mesh, bézier simplex, bézier triangle

Abstract Paper Similar Papers

Abstract: We present a mesh generation algorithm for the curvilinear triangulation of planar domains with piecewise polynomial boundary. The resulting mesh consists of regular, injective higher-order triangular elements and precisely conforms with the domain’s curved boundary. No smoothness requirements are imposed on the boundary. Prescribed piecewise polynomial curves in the interior, like material interfaces or feature curves, can be taken into account for precise interpolation by the resulting mesh’s edges as well. In its core, the algorithm is based on a novel explicit construction of guaranteed injective Bézier triangles with certain edge curves and edge parametrizations prescribed. Due to the use of only rational arithmetic, the algorithm can optionally be performed using exact number types in practice, so as to provide robustness guarantees.

The video of this talk cannot be embedded. You can watch it here:
https://dl.acm.org/doi/10.1145/3386569.3392372#sec-supp
(Link will open in new window)
 0
 0
 0
 0
  Share    
This is an embedded video. Talk and the respective paper are published at SIGGRAPH 2020 virtual conference. If you are one of the authors of the paper and want to manage your upload, see the question "My papertalk has been externally embedded..." in the FAQ section.

Comments

Post Comment
no comments yet
code of conduct: tbd Characters remaining: 140

Similar Papers

 0
 0
 0
 0
 19:59 
 0
 0
 0
 0
 16:32 
 0
 0
 0
 0
 11:40 
 0
 0
 0
 0
 24:58 
 0
 0
 0
 0
 25:27 
 0
 0
 0
 0
 23:50 
 0
 0
 0
 0
 29:37 
 0
 0
 0
 0
 1:01 
 0
 0
 0
 0
 4:07 
 0
 0
 0
 0
 13:19 
 0
 0
 0
 0
 2:33 
 0
 0
 0
 0
 5:02 
 0
 0
 0
 0
 14:09 
 0
 0
 0
 0
 18:55 
 0
 0
 0
 0
 19:51 
 0
 0
 0
 0
 18:18 
 0
 0
 0
 0
 3:01 
 0
 0
 0
 0
 3:21 
 0
 0
 0
 0
 2:24 
 0
 0
 0
 0
 4:57 
 0
 0
 0
 0
 21:27 
 0
 0
 0
 0
 25:12 
 0
 0
 0
 0
 12:00 
 0
 0
 0
 0
 12:42 
 0
 0
 0
 0
 12:52 
 0
 0
 0
 0
 25:04 
 0
 0
 0
 0
 3:04 
 0
 0
 0
 0
 17:20 
 0
 0
 0
 0
 23:50 
 0
 0
 0
 0
 10:41 
 0
 0
 0
 0
 3:07 
 0
 0
 0
 0
 1:01 
 0
 0
 0
 0
 13:23 
 0
 0
 0
 0
 10:06 
 0
 0
 0
 0
 15:40 
 0
 0
 0
 0
 16:11 
 0
 0
 0
 0
 13:25 
 0
 0
 0
 0
 24:57 
 0
 0
 0
 0
 14:41 
 0
 0
 0
 0
 19:44