二次曲面作为网格插值曲面的不可能性

Impossibility of Quadric Surfaces as C' Mesh Interpolating Surfaces

研究了二次曲面即低次隐式曲面在各种网格条件下的情况,并得出结论:二次曲面作为C连续的网格插值曲面一般是不可能的,并指出隐式曲面不适合作为网格插值曲面,而高阶的NURBS曲面可作为网格插值曲面.

In this paper,low degree implicit surfaces ,i.e guadric surfaces ,in the conditions of meshes of various kinds is studied,thereby the following conclusion is obtained:It is impossability that quadric surfaces is to be Cmesh interpolating surfaces .It抯 pointed out that implicit surfaces is not approciate to be mesh interpolatin surfaces ,moreover,high degree NURBS surfaces can be mesh interpolating surfaces.