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Intersecting and trimming parametric meshes on finite element shells
Authors:Luiz Cristovã  o G. Coelho,Marcelo Gattass,Luiz Henrique de Figueiredo
Abstract:We present an algorithm for intersecting finite element meshes defined on parametric surface patches. The intersection curves are modelled precisely and both meshes are adjusted to the newly formed borders, without unwanted reparametrizations. The algorithm is part of an interactive shell modelling program that has been used in the design of large offshore oil structures. To achieve good interactive response, we represent meshes with a topological data structure that stores its entities in spatial indexing trees instead of linear lists. These trees speed up the intersection computations required to determine points of the trimming curves; moreover, when combined with the topological information, they allow remeshing using only local queries. Copyright © 2000 John Wiley & Sons, Ltd.
Keywords:surface intersection  finite element mesh generation  parametric representation  geometric modelling  topological data structures  constrained triangulation
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