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Publications
J.M. Varela, Manuel Ventura, "Generation of an adaptive triangular mesh from a parametric surface", Maritime Engineering and Technology, Guedes Soares et al. (Eds),Taylor & Francis Group, London, pp.107-111
This paper presents a new method for the generation of an adaptive topologically correct triangular mesh on parametric surfaces. The level of approximation is controlled through a given tolerance resulting into a density of triangles that increases with the local curvature of the surface. The surface is subdivided in the parametric domain by a recursive algorithm which simultaneously stores the sequence of operations into a Binary Space Partitioning tree data structure. To each interior edge defined by two or more vertices correspond always only two faces. After the subdivision, the resulting polygonal faces are triangulated using all the points generated. Finally the mesh obtained in the parametric domain is mapped back into the Cartesian 3D space. The generated mesh is topologically correct and provides a basis for a wide range of engineering applications.
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