Degree elevation for n-sided surfaces

In this paper the concept of degree elevation is extended to n-sided surfaces. Explicit expressions are presented for raising the degree of surfaces with an arbitrary number of sides. The results give some insight into the shape definition and control of n-sided surfaces. In particular, the relationship between Sabin's quadratic triangular surfaces and the cubic form of Hosaka and Kimura is discussed. (C) 2001 Elsevier Science B.V. All rights reserved.