The GC′ Quintic Interpolant on Arbitrary Triangular Mesh

Abstract:

      A kind of GC′ surface constructing scheme on arbitrary triangular mesh is presented. The surface formed by this scheme can pass the given position vectors and take the given planes as its tangent planes at the vertices of the triangular mesh. Triangular mesh referred here is a set of space triangles and their faces such that the intersection of any two edges in this set is a vertex or an empty set.