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Facet-Based Surfaces for 3D Mesh Generation

A synthesis of various algorithms and techniques used for modeling and evaluating facet-based surfaces for 3D surface mesh generation algorithms is presented, including implementation details of how these techniques are used within an existing mesh generation toolkit. An object oriented data representation for facet-based surfaces is described. Numerical techniques for describing G continuous curves and surfaces from triangles forming quartic Bezier triangle patches is presented. A combination of spatial searching and minimization techniques to solve the smooth surface projection problem are described. Examples and performance of the proposed methods are put in context with relevant surface mesh generation problems.