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CLC number: TP393
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation
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CHEN Jian-jun, ZHENG Yao. Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation[J]. Journal of Zhejiang University Science A, 2006, 7(12): 2031-2042.
@article{title="Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation",
author="CHEN Jian-jun, ZHENG Yao",
journal="Journal of Zhejiang University Science A",
volume="7",
number="12",
pages="2031-2042",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A2031"
}
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%A ZHENG Yao
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DOI - 10.1631/jzus.2006.A2031
Abstract: boundary recovery is one of the main obstacles in applying the Delaunay criterion to mesh generation. A standard resolution is to add Steiner points directly at the intersection positions between missing boundaries and triangulations. We redesign the algorithm with the aid of some new concepts, data structures and operations, which make its implementation routine. Furthermore, all possible intersection cases and their solutions are presented, some of which are seldom discussed in the literature. Finally, numerical results are presented to evaluate the performance of the new algorithm.
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