Structural Improvement of Planar Triangulations: Some Constraints and Practical Issues
Field, David A. and William H. Frey
Communications in Numerical Methods in Engineering, John Wiley & Sons, Ltd., Vol 11, pp.191-198, 1995
Recent advances in planar mesh generation of arbitrary domains incorporate methods for placing points as well as connecting them into a triangulation. Postprocessing techniques such as Laplacian smoothing and mesh relaxation enhance the shape of triangles in these meshes, but do not address the construction of meshes near boundaries or provide a criterion to determine the number of interior points of the initial triangulation. The paper addresses these issues by investigating the construction of degree-6 triangulations, the primary goal of the mesh relaxation method.
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