# Automatic Shape Control of Triangular *B*-Splines of Arbitrary Topology

- Revised:

DOI: 10.1007/s11390-006-0232-4

- Cite this article as:
- He, Y., Gu, X. & Qin, H. J Comput Sci Technol (2006) 21: 232. doi:10.1007/s11390-006-0232-4

## Abstract

Triangular *B*-splines are powerful and flexible in modeling a broader 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 triangulation. In this paper, an automatic and efficient method is proposed to generate visually pleasing, high-quality triangular *B*-splines of arbitrary topology. The experimental results on several real datasets show that triangular *B*-splines are powerful and effective in both theory and practice.

### Keywords

triangular*B*-splinesarbitrary topologyfairing algorithm