Abstract—Objective of this paper is to propose a new semi-automatic, adaptive and optimized triangular mesh generation technique for any domain (including free formed curves). This new technique is found by merging the generalised equations which were proposed in previous works with Delaunay triangulation method. The new technique is demonstrated for several domains with various boundaries. Initial meshes are generated for these domains, which are later optimized manually by addition, removal or replacement of sampling points. Finalized meshes consist of triangular elements with aspect ratio of less than 2 and minimum skewness of more than 45 degrees.
Index Terms—Generalised equations, numerical integration, Delaunay triangulation, mesh optimization, skewness and aspect ratio.
Logah Perumal is with the Faculty of Engineering and Technology, Multimedia University, Jalan Ayer Keroh Lama, Bukit Beruang, 75450 Melaka, Malaysia (e-mail: logah.perumal@mmu.edu.my).
Cite: Logah Perumal, "A New Triangular Mesh Generation Technique," International Journal of Machine Learning and Computing vol. 9, no. 5, pp. 644-649, 2019.
Copyright © 2019 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).