Approximating Smooth Surfaces to Quad/Triangle Meshes

M. Imanparast (Iran)


Quad/Triangle meshes, Smooth surface, Non-four-sided patches.


A simple method is presented for approximating smooth surfaces to Quad/Triangle meshes using bi-quadratic patches. Unlike other methods, it does not need a preliminary refinement step and uses fewest patches. A patch is constructed corresponding to each vertex of initial mesh. The patch will be a bi-quadratic Bezier patch if the valence of the vertex is four and otherwise the neighborhood of the extraordinary vertices is covered by a quadratic n-sided Zheng-Ball patch. Simple conditions are used to obtain smooth surfaces.

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