Automatic shape control of triangular B-splines of arbitrary topology

Ying He, Xianfeng Gu and Hong Qin
Journal of Computer Science and Technology, Vol. 21, No. 2, pp. 232-237, 2006.
Triangular B-Splines are powerful and flexible in modeling a braoder class of geometric objects defined over arbitrary, non-rectangular domains. Despite their great potential and advantages in theory, practical techniques and computational tools with triangular B-splines are less developed. This is mainly because users have to handle a large number of irregularly distributed control points over arbitrary triangulations. In this paper, an automatic and efficient method is proposed to generate visually pleasing, high-quality triangular B-Splines of arbitrary topology. The experiemental results on several real datasets show that triangular B-Splines are powerful and effective in both theory and practice.