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.