Consider a two-dimensional domain given by a simple closed polygonal chain and a non-uniform rational B-spline (NURBS) curve, see Figure (a). The polygonal chain correspond to the outer boundary of the two-dimensional domain and the NURBS curve represents the boundary of a hole or and inclusion.
The Figures (a) - (f) illustrate the Quadtree subdivision of a two-dimensional domain in boundary representation. The subdomain enclosed by the NURBS curve can represent a hole or an inclusion. The corresponding finite element meshes are shown in Figures (g) and (h).
| (a) | (b) | (c) |
| (d) | (e) | (f) |
| (g) | (h) |
- matlab-tree 1 - A MATLAB class. to represent the tree data structure
| Two-dimensional domain | Quadtree decomposition |
|---|---|
The financial support of the DFG (German Research Foundation) under project number 433734847 is gratefully acknowledged.
Rainer Reichel M.Sc.
LBB - Lehrstuhl für Baustatik und Baudynamik
RWTH Aachen University
email: reichel@lbb.rwth-aaachen.de
Footnotes
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Jean-Yves Tinevez (2023). Tree data structure as a MATLAB class (https://github.com/tinevez/matlab-tree), GitHub. Retrieved February 23, 2023. ↩