TY - JOUR
T1 - Degree elevation for n-sided surfaces
AU - Ball, Alan
AU - Zheng, JJ
PY - 2001/3/1
Y1 - 2001/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0035276391&partnerID=8YFLogxK
U2 - 10.1016/S0167-8396(01)00020-6
DO - 10.1016/S0167-8396(01)00020-6
M3 - Article
VL - 18
SP - 135
EP - 147
JO - Computer Aided Geometric Design
JF - Computer Aided Geometric Design
ER -