| 摘要 |
A system and method for modeling smooth free-form shapes using B-splines over irregular meshes in a simple and efficient manner, generating aesthetically pleasing shapes is disclosed. This method provides a low degree parametric polynomial representation. As a result, techniques for surface-surface or ray-surface intersection is faster and more robust than possible with existing techniques. In accordance with the present invention, an input mesh M<0> is initially simplified by isolating irregularities and constraining geometry. First, the input mesh M<0> is subjected to general refinement, whereby a new mesh M<1> is constructed, which in turn is subjected to constrained refinement, whereby another new mesh M<2> is constructed. After the general and constrained refinement steps, the mesh M<2> is broken up into a set of "quad-nets" corresponding to each of its vertices. Finally, these quad nets are used as local geometry, over which, 4 cubic Bézier triangles are constructed.
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