抄録
In this paper, we present a construction of a geometric continuity (G^1) surface which interpolates to position values and normal vectors of randomly distributed points in 3D. The method starts from a given triangulation, every triangle is split into twelve small tiangles and piecewise cubic Bezier triangular patches are used over triangles. The patches are C^1 continuous over each triangle. Two patches are G^1 continuous over two triangles which have common edges.