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Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue (12): 12-    DOI: 10.1631/jzus.2006.A2031
    
Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation
CHEN Jian-jun, ZHENG Yao
Center for Engineering and Scientific Computation, School of Computer Science, Zhejiang University, Hangzhou 310027, China
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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.

Key wordsBoundary recovery      Delaunay triangulation      Mesh generation      Data structure     
Received: 05 March 2006     
CLC:  TP393  
Cite this article:

CHEN Jian-jun, ZHENG Yao. Redesign of a conformal boundary recovery algorithm for 3D Delaunay triangulation. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(12): 12-.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A2031     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I12/12

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