A new parametric surface representation is proposed that interpolates the vertices of a given closed mesh of arbitrary topology. Smoothly connecting quadrilateral patches are created by blending local, multi-sided quadratic interpolants. In the non-four-sided case, this requires a special parameterization technique involving rational curves. Appropriate handling of triangular subpatches and alternative subpatch representations are also discussed.

翻译：本文提出了一种新的参数曲面表示方法，该方法能够对任意拓扑结构的封闭网格顶点进行插值。通过混合局部多边二次插值曲面，构建出光滑连接的四边面片。对于非四边情形，该方法需要采用涉及有理曲线的特殊参数化技术。文中同时讨论了三角形子面片的处理方法以及替代性子面片表示方案。